| Title: | 'Matrix-Based Flexible Project Planning' |
|---|---|
| Description: | Matrix-Based Flexible Project Planning. This package models, plans, and schedules flexible, such as agile, extreme, and hybrid project plans. The package contains project planning, scheduling, and risk assessment functions. Kosztyan (2022) <doi:10.1016/j.softx.2022.100973>. |
| Authors: | Zsolt T. Kosztyan [aut, cre], Aamir Sagir [aut] |
| Maintainer: | Zsolt T. Kosztyan <[email protected]> |
| License: | GPL (>= 2) |
| Version: | 0.0.8 |
| Built: | 2025-03-04 06:04:48 UTC |
| Source: | https://github.com/kzst/mfpp |
Matrix-Based Flexible Project Planning. This package model, plan and schedule flexible, such as agile, extreme and hybrid project plans. The package contains project planning, scheduling and risk assessment functions.
This work has been implemented by the TKP2021-NVA-10 project with the support provided by the Ministry of Culture and Innovation of Hungary from the National Research, Development and Innovation Fund, financed under the 2021 Thematic Excellence Programme funding scheme.
Zsolt T. Kosztyan*, Aamir Saghir
*e-mail: [email protected]
Kosztyán, Z. T. (2022). MFPP: Matrix-based flexible project planning. SoftwareX, 17, 100973.
generatepdm, get.structures, is.flexible, percent,phase1,phase2,phase3,plot.PDM_matrix,summary.PDM_matrix.
Real-life project database of single-mode individual projects by Batselier and Vanhoucke (2015)
data("Batselier")data("Batselier")
A list (Collection_PDM) of PDM_list and PDM_constraint types of lists, where
PDM_listcontains PDM_matrix (PDM) and the number of completion modes (w), and number of resources (Rs)
PDM_consta list of (renewable resource) constraints
Batselier, J. & Vanhoucke, M. (2015). Construction and evaluation framework for a real-life project database. International Journal of Project Management, 33(3), 697–710, https://doi.org/10.1016/j.ijproman.
data(Batselier) # Summary of data collection summary(Batselier) # Summary of the first project structure summary(Batselier[[1]]$PDM_list) # Summary of the first project constraints summary(Batselier[[1]]$PDM_const)data(Batselier) # Summary of data collection summary(Batselier) # Summary of the first project structure summary(Batselier[[1]]$PDM_list) # Summary of the first project constraints summary(Batselier[[1]]$PDM_const)
Sumulated project database of multimode, individual projects by Boctor (1993)
data("Boctor")data("Boctor")
A list (Collection_PDM) of PDM_list and PDM_constraint types of lists, where
PDM_listcontains PDM_matrix (PDM) and the number of completion modes (w), and number of resources (Rs)
PDM_consta list of (renewable resource) constraints
Boctor, F. F. (1993). Heuristics for scheduling projects with resource restrictions and several resource-duration modes. The international journal of production research, 31(11), 2547–2558, https://doi.org/10.1080/00207549308956882.
data(Boctor) # Summary of data collection summary(Boctor) # Summary of the first project structure summary(Boctor[[1]]$PDM_list) # Summary of the first project constraints summary(Boctor[[1]]$PDM_const)data(Boctor) # Summary of data collection summary(Boctor) # Summary of the first project structure summary(Boctor[[1]]$PDM_list) # Summary of the first project constraints summary(Boctor[[1]]$PDM_const)
Function to generate a PDM matrix for flexible project planning problems.
generatepdm(N,ff,cf,mTD,mCD,mRD,w,nR,nW,scale=1.4,QD=FALSE,lst=FALSE)generatepdm(N,ff,cf,mTD,mCD,mRD,w,nR,nW,scale=1.4,QD=FALSE,lst=FALSE)
N |
Number of tasks (a numeric value) |
ff |
flexibility factor between [0,1] (a numeric value). |
cf |
connectivity factor (a numeric integer). |
mTD |
max value of TD (a numeric positive integer). |
mCD |
max value of CD (a numeric positive integer). |
mRD |
max value of RD (a numeric positive integer). |
w |
number of modes (a numeric integer). |
nR |
number of resources (a numeric integer). |
nW |
number of possible extra tasks (a positive numeric integer). |
scale |
scale parameter, the default value is 1.4 (a numeric value). |
QD |
logic parameter, the default value is FALSE, which means, the quality domain is neglected. |
lst |
(logic parameter, the default value is FALSE, which means, the output is a PDM matrix, while TRUE means the output is a PDM list including number of modes (w) and the number of resources (Rs). |
PDM |
[PEM,TD, CD, <QD,RD>] is a Project Domain Matrix (a numeric matrix), where; |
PEM |
An N by N upper triangular matrix of logic domain (a numeric matrix). |
TD |
N by w matrix of task durations (a numeric matrix). |
CD |
N by w matrix of cost demands (a numeric matrix). |
QD |
N by w matrix of quality parameters (a numeric matrix, optional). |
RD |
N by w*nR matrix of resource demands (a numeric matrix, optional). |
w |
Number of completion modes (scalar, if the output is PDM list (lst=TRUE)). |
Rs |
Number of resources (scalar, if the output is PDM list (lst=TRUE)). |
Zsolt T. Kosztyan*, Aamir Saghir
e-mail: [email protected]
Kosztyán, Z. T. (2022). MFPP: Matrix-based flexible project planning. SoftwareX, 17, 100973.
tpc, tpq, tpt, tpr,maxscore_PEM, generatepdm.
# Generation of PDM matrix for flexible project planning MFPP package. # Define number of modes, flexibility factor and connectivity factor of a project scenerio. N=4;ff=0.05;cf=0 # Define maximum value of time domain, Cost domain and Resourcces domain of a project scenerio. mTD=3;mCD=4;mRD=3 # Define number of modes, number of resources, # number of possible extra tasks, scale and quality domain of a project scenerio. w=2;nR=2;nW=2 scale=1.4 #(default value) # Generation of PDM matrix for TCTP a project scenario using MFPP package. generatepdm(N,ff,cf,mTD,mCD,mRD,w,nR,nW,scale=1.4) # Generation of PDM list for TCTP a project scenario using MFPP package. generatepdm(N,ff,cf,mTD,mCD,mRD,w,nR,nW,scale=1.4,QD=FALSE,lst=TRUE) # Generation of PDM matrix for TQCTP a project scenario using MFPP package. generatepdm(N,ff,cf,mTD,mCD,mRD,w,nR,nW,scale=1.4,QD=TRUE) # Generation of PDM list for TQCTP a project scenario using MFPP package. generatepdm(N,ff,cf,mTD,mCD,mRD,w,nR,nW,scale=1.4,QD=TRUE,lst=TRUE)# Generation of PDM matrix for flexible project planning MFPP package. # Define number of modes, flexibility factor and connectivity factor of a project scenerio. N=4;ff=0.05;cf=0 # Define maximum value of time domain, Cost domain and Resourcces domain of a project scenerio. mTD=3;mCD=4;mRD=3 # Define number of modes, number of resources, # number of possible extra tasks, scale and quality domain of a project scenerio. w=2;nR=2;nW=2 scale=1.4 #(default value) # Generation of PDM matrix for TCTP a project scenario using MFPP package. generatepdm(N,ff,cf,mTD,mCD,mRD,w,nR,nW,scale=1.4) # Generation of PDM list for TCTP a project scenario using MFPP package. generatepdm(N,ff,cf,mTD,mCD,mRD,w,nR,nW,scale=1.4,QD=FALSE,lst=TRUE) # Generation of PDM matrix for TQCTP a project scenario using MFPP package. generatepdm(N,ff,cf,mTD,mCD,mRD,w,nR,nW,scale=1.4,QD=TRUE) # Generation of PDM list for TQCTP a project scenario using MFPP package. generatepdm(N,ff,cf,mTD,mCD,mRD,w,nR,nW,scale=1.4,QD=TRUE,lst=TRUE)
Specify minimal, maximal, maximin, minimax, and most likely/most desired project structures.
get.structures(x,type=c("min","max","minimax","maximin","most"))get.structures(x,type=c("min","max","minimax","maximin","most"))
x |
N by M PDM matrix or a PDM list. |
type |
type of specified project structure. "min" is a minimal strucuture, where the time, cost demands, and as well as the quality parameters are minimal; "max" where the time, cost demands, and as well as the quality parameters are maximal; "minimax", where the cost and resource demands are minimal; "maximix", where the cost and resource demands are maxnimal; "most", where the total project score is maximal. |
PDMs |
set of PDM_matrix or a set of PDM_list (depending on the input type) |
Zsolt T. Kosztyan*, Aamir Saghir
e-mail: [email protected]
Kosztyán, Z. T. (2022). MFPP: Matrix-based flexible project planning. SoftwareX, 17, 100973.
# Generation of PDM matrix for flexible project planning MFPP package. # Define number of modes, flexibility factor and connectivity factor of a project scenerio. N=4;ff=0.05;cf=0 # Define maximum value of time domain, Cost domain and Resourcces domain of a project scenerio. mTD=3;mCD=4;mRD=3 # Define number of modes, number of resources, # number of possible extra tasks, scale and quality domain of a project scenerio. w=2;nR=2;nW=2 scale=1.4 #(default value) # Generation of PDM matrix for TCTP a project scenario using MFPP package. PDM<-generatepdm(N,ff,cf,mTD,mCD,mRD,w,nR,nW,scale=1.4) # Get main structures. PDMs<-get.structures(PDM) PDMs # Generation of PDM list for TCTP a project scenario using MFPP package. PDM<-generatepdm(N,ff,cf,mTD,mCD,mRD,w,nR,nW,scale=1.4,QD=FALSE,lst=TRUE) # Get main structures. PDMs<-get.structures(PDM) PDMs# Generation of PDM matrix for flexible project planning MFPP package. # Define number of modes, flexibility factor and connectivity factor of a project scenerio. N=4;ff=0.05;cf=0 # Define maximum value of time domain, Cost domain and Resourcces domain of a project scenerio. mTD=3;mCD=4;mRD=3 # Define number of modes, number of resources, # number of possible extra tasks, scale and quality domain of a project scenerio. w=2;nR=2;nW=2 scale=1.4 #(default value) # Generation of PDM matrix for TCTP a project scenario using MFPP package. PDM<-generatepdm(N,ff,cf,mTD,mCD,mRD,w,nR,nW,scale=1.4) # Get main structures. PDMs<-get.structures(PDM) PDMs # Generation of PDM list for TCTP a project scenario using MFPP package. PDM<-generatepdm(N,ff,cf,mTD,mCD,mRD,w,nR,nW,scale=1.4,QD=FALSE,lst=TRUE) # Get main structures. PDMs<-get.structures(PDM) PDMs
Checking flexibility of PDM matrix or a PDM list.
is.flexible(x)is.flexible(x)
x |
N by M PDM matrix or a PDM list. |
is.flexible |
Boolean output whether the project is flexible or not. |
Zsolt T. Kosztyan*, Aamir Saghir
e-mail: [email protected]
Kosztyán, Z. T. (2022). MFPP: Matrix-based flexible project planning. SoftwareX, 17, 100973.
# Generation of PDM matrix for flexible project planning MFPP package. # Define number of modes, flexibility factor and connectivity factor of a project scenerio. N=4;ff=0.05;cf=0 # Define maximum value of time domain, Cost domain and Resourcces domain of a project scenerio. mTD=3;mCD=4;mRD=3 # Define number of modes, number of resources, # number of possible extra tasks, scale and quality domain of a project scenerio. w=2;nR=2;nW=2 scale=1.4 #(default value) # Generation of PDM matrix for TCTP a project scenario using MFPP package. PDM<-generatepdm(N,ff,cf,mTD,mCD,mRD,w,nR,nW,scale=1.4) # Flexibility check. is.flexible(PDM) # Flexibility check of rounded values. is.flexible(round(PDM)) # Generation of PDM list for TCTP a project scenario using MFPP package. PDM<-generatepdm(N,ff,cf,mTD,mCD,mRD,w,nR,nW,scale=1.4,QD=FALSE,lst=TRUE) # Flexibility check. is.flexible(PDM)# Generation of PDM matrix for flexible project planning MFPP package. # Define number of modes, flexibility factor and connectivity factor of a project scenerio. N=4;ff=0.05;cf=0 # Define maximum value of time domain, Cost domain and Resourcces domain of a project scenerio. mTD=3;mCD=4;mRD=3 # Define number of modes, number of resources, # number of possible extra tasks, scale and quality domain of a project scenerio. w=2;nR=2;nW=2 scale=1.4 #(default value) # Generation of PDM matrix for TCTP a project scenario using MFPP package. PDM<-generatepdm(N,ff,cf,mTD,mCD,mRD,w,nR,nW,scale=1.4) # Flexibility check. is.flexible(PDM) # Flexibility check of rounded values. is.flexible(round(PDM)) # Generation of PDM list for TCTP a project scenario using MFPP package. PDM<-generatepdm(N,ff,cf,mTD,mCD,mRD,w,nR,nW,scale=1.4,QD=FALSE,lst=TRUE) # Flexibility check. is.flexible(PDM)
Calculate maximal score value (PMAX) of possible project scenarios.
maxscore_PEM(PEM, P=PEM, Q=1-PEM)maxscore_PEM(PEM, P=PEM, Q=1-PEM)
PEM |
N by N upper triangular adjacency matrix of logic network (a numeric matrix). |
P |
N by N score matrix of task/dependency inclusion (a numeric matrix). The default P matrix is P=PEM |
Q |
N by N score matrix of task/dependency exclusion (a numeric matrix). The default Q matrix is Q=1-PEM |
score |
The maximal score value of the project scenario (a scalar). |
Zsolt T. Kosztyan*, Aamir Saghir
e-mail: [email protected]
Kosztyán, Z. T. (2022). MFPP: Matrix-based flexible project planning. SoftwareX, 17, 100973.
# Calculatation of the maximal score value of the project scenario using MFPP package. # Define a 3 by 3 upper triangular adjacency matrix (PEM) of logic domain of a project. PEM <- rbind(c(0.8,0.4,0.8), c(0.0,0.7,0.7), c(0.0,0.0,0.4)) # Define a 3 by 3 score matrix of task/dependency inclusion. P <- PEM # Define a 3 by 3 score matrix of task/dependency exclusion. Q <- 1-P # Calculation of the maximal score value of the project using MFPP package. maxscore_PEM(PEM,P, Q)# Calculatation of the maximal score value of the project scenario using MFPP package. # Define a 3 by 3 upper triangular adjacency matrix (PEM) of logic domain of a project. PEM <- rbind(c(0.8,0.4,0.8), c(0.0,0.7,0.7), c(0.0,0.0,0.4)) # Define a 3 by 3 score matrix of task/dependency inclusion. P <- PEM # Define a 3 by 3 score matrix of task/dependency exclusion. Q <- 1-P # Calculation of the maximal score value of the project using MFPP package. maxscore_PEM(PEM,P, Q)
Calculate minimal score value (PMIN) of possible project scenarios.
minscore_PEM(PEM,P=PEM, Q=1-PEM)minscore_PEM(PEM,P=PEM, Q=1-PEM)
PEM |
An N by N upper triangular adjacency matrix of logic network (a numeric matrix). |
P |
N by N score matrix of task/dependency inclusion (a numeric matrix). The default P matrix is P=PEM |
Q |
N by N score matrix of task/dependency exclusion (a numeric matrix). The default Q matrix is Q=1-PEM |
score |
minimal score value of a project (a numeric value). |
Zsolt T. Kosztyan*, Aamir Saghir
e-mail: [email protected]
Kosztyán, Z. T. (2022). MFPP: Matrix-based flexible project planning. SoftwareX, 17, 100973.
tpc, tpq, tpt, tpr,maxscore_PEM, generatepdm, phase3, percent.
# Calculation of minimal score value of a project scenarios using MFPP package. # Define a 3 by 3 upper traingular logic domain of a project scenario. PEM= matrix(c(0.8,0.4,0.8, 0.0,0.7,0.7, 0.0,0.0,0.4), ncol=3, byrow=TRUE) # Define a score matrix of task/dependency inclusion. P=PEM # Define a score matrix of task/dependency exclusion. Q=1-P # Calculation of minimal score value for the above specification # of a project scenario using MFPP package. minscore_PEM(PEM,P,Q)# Calculation of minimal score value of a project scenarios using MFPP package. # Define a 3 by 3 upper traingular logic domain of a project scenario. PEM= matrix(c(0.8,0.4,0.8, 0.0,0.7,0.7, 0.0,0.0,0.4), ncol=3, byrow=TRUE) # Define a score matrix of task/dependency inclusion. P=PEM # Define a score matrix of task/dependency exclusion. Q=1-P # Calculation of minimal score value for the above specification # of a project scenario using MFPP package. minscore_PEM(PEM,P,Q)
Calculate Pareto-optimal resource allocation
paretores(DSM,TD,RD)paretores(DSM,TD,RD)
DSM |
An N by N upper triangular adjacency matrix of logic network with fixed dependencies (a binary matrix). |
TD |
N by 1 matrix of task durations (a numeric matrix) |
RD |
N by r matrix of task resources, where the number of resources is r. |
RD |
Pareto-optimal TPR (1 by r numeric vector)). |
SST |
Scheduled Start Time (N by N numeric matrix)). |
Zsolt T. Kosztyan*, Aamir Saghir
e-mail: [email protected]
Kosztyán, Z. T. (2022). MFPP: Matrix-based flexible project planning. SoftwareX, 17, 100973.
# Calculation of Pareto-optimal resource allocation using MFPP package. # Define a 3 by 3 upper traingular logic domain of a project structure. # Specification of Logic Domain DSM<-matrix(c(1,1,0,1,0,0, 0,1,0,0,0,0, 0,0,1,1,0,0, 0,0,0,1,0,0, 0,0,0,0,0,0, 0,0,0,0,0,0),nrow=6, byrow=TRUE) # Specification of Time Domain TD<-matrix(c(2, 3, 1, 4, 0, 0),nrow=6, byrow=TRUE) # Specification of Resource Domain RD<-matrix(c(4,2, 3,2, 5,1, 6,4, 0,0, 0,0),nrow=6, byrow=TRUE) RES<-paretores(DSM,TD,RD) RES # Verify results tpr(RES$SST,DSM,TD,RD)# Calculation of Pareto-optimal resource allocation using MFPP package. # Define a 3 by 3 upper traingular logic domain of a project structure. # Specification of Logic Domain DSM<-matrix(c(1,1,0,1,0,0, 0,1,0,0,0,0, 0,0,1,1,0,0, 0,0,0,1,0,0, 0,0,0,0,0,0, 0,0,0,0,0,0),nrow=6, byrow=TRUE) # Specification of Time Domain TD<-matrix(c(2, 3, 1, 4, 0, 0),nrow=6, byrow=TRUE) # Specification of Resource Domain RD<-matrix(c(4,2, 3,2, 5,1, 6,4, 0,0, 0,0),nrow=6, byrow=TRUE) RES<-paretores(DSM,TD,RD) RES # Verify results tpr(RES$SST,DSM,TD,RD)
Function to calculate project completion desired charcateristic type either cost, or quality and/or resources with or withoud quality parameters, or score ratio or time duration of a project scenario for the given ratio and completion modes.
percent(PDM,type=c("c","q","qd","r","s","t"),w=2,Rs=2,ratio=1)percent(PDM,type=c("c","q","qd","r","s","t"),w=2,Rs=2,ratio=1)
PDM |
is a Project Domain Matrix (a numeric matrix), where PDM=[LD,TD, CD, <QD,RD>]. LD is an N by N upper triangular matrix of logic domain (a numeric matrix); TD is an N by w matrix of task durations (a numeric matrix); CD is an N by w matrix of cost demands (a numeric matrix); QD is an optinal N by w matrix of quality parameters (a numeric optional matrix); RD is an N by w*nR matrix of resource demands (a numeric optional matrix). |
type |
Type to calculate the project completion characteristic either cost or quality with or without defined quality parameters, or resources with or without quality parameters, or minimum completion score or minimum task duration of a project scenario (a logical value). |
w |
Number of completion modes (a numeric integer). |
Rs |
Number of resources (a numeric integer). |
ratio |
ratio of desired characteristic of a project between interval [0,1] (a numeric value). |
w |
Number of completion modes (a numeric integer). |
Rs |
Number of resources (a numeric integer). |
ratio |
ratio of desired characteristic of a project between interval [0,1] (a numeric value). |
Cc |
Project completion cost (a numeric value). |
Cq |
Project completion quality when quality parameters are not considered (a numeric value). |
Cq |
Project completion quality when quality parameters are considered (a numeric value). |
CR |
Minimum resources for the completion when quality parameters are not considered (a numeric value). |
CR |
Minimum resources for the completion when quality parameters are considered (a numeric value). |
Cs |
Minimum completion score ratio of a project (a numeric value). |
Ct |
Minimum task duration to project a project (a numeric value). |
Zsolt T. Kosztyan*, Aamir Saghir
e-mail: [email protected]
Kosztyán, Z. T. (2022). MFPP: Matrix-based flexible project planning. SoftwareX, 17, 100973.
tpc, tpq, tpt, tpr,maxscore_PEM, generatepdm.
## Examples for verification w<-2 # Number of completion modes Rs<-2 # Number of resources ratio<-1.0 # Percentage 0-1 # Specification of Logic Domain LD<-matrix(c(1,1,0,1,0,0, 0,0.8415,0,0,0,0, 0,0,1,1,0,0, 0,0,0,0.6478,0,0, 0,0,0,0,0,0, 0,0,0,0,0,0),nrow=6, byrow=TRUE) # Specification of Time Domain TD<-matrix(c(1.9755,2.3408, 2.6564,2.7002, 0.9018,1.1077, 1.0237,1.2117, 0,0, 0,0),nrow=6, byrow=TRUE) # Specification of Cost Domain CD<-matrix(c(2.0768,2.3008, 0.4819,0.5279, 3.4315,3.7682, 3.5902,3.8245, 0,0, 0,0),nrow=6, byrow=TRUE) # Specification of Cost Domain QD<-matrix(c(0.8723,0.9102, 0.9017,0.8215, 0.7250,0.9911, 1.0000,0.8245, 0,0, 0,0),nrow=6, byrow=TRUE) # Specification of Resource Domain RD<-matrix(c(2.2130,2.4636,1.7948,2.0603, 1.9709,2.1952,0.8216,0.8890, 1.6255,1.9432,1.8715,2.2341, 1.1377,1.3528,1.6768,1.8769, 0,0,0,0, 0,0,0,0),nrow=6, byrow=TRUE) # PDM without QD PDM<-cbind(LD,TD,CD,RD) # Percentiles without QD CONST<-percent(PDM,type=c("c","r","s","t"),w,Rs,ratio) CONST # PDM with QD PDM<-cbind(LD,TD,CD,QD,RD) # Percentiles with QD CONST<-percent(PDM,type=c("c","q","r","s","t"),w,Rs,ratio) CONST## Examples for verification w<-2 # Number of completion modes Rs<-2 # Number of resources ratio<-1.0 # Percentage 0-1 # Specification of Logic Domain LD<-matrix(c(1,1,0,1,0,0, 0,0.8415,0,0,0,0, 0,0,1,1,0,0, 0,0,0,0.6478,0,0, 0,0,0,0,0,0, 0,0,0,0,0,0),nrow=6, byrow=TRUE) # Specification of Time Domain TD<-matrix(c(1.9755,2.3408, 2.6564,2.7002, 0.9018,1.1077, 1.0237,1.2117, 0,0, 0,0),nrow=6, byrow=TRUE) # Specification of Cost Domain CD<-matrix(c(2.0768,2.3008, 0.4819,0.5279, 3.4315,3.7682, 3.5902,3.8245, 0,0, 0,0),nrow=6, byrow=TRUE) # Specification of Cost Domain QD<-matrix(c(0.8723,0.9102, 0.9017,0.8215, 0.7250,0.9911, 1.0000,0.8245, 0,0, 0,0),nrow=6, byrow=TRUE) # Specification of Resource Domain RD<-matrix(c(2.2130,2.4636,1.7948,2.0603, 1.9709,2.1952,0.8216,0.8890, 1.6255,1.9432,1.8715,2.2341, 1.1377,1.3528,1.6768,1.8769, 0,0,0,0, 0,0,0,0),nrow=6, byrow=TRUE) # PDM without QD PDM<-cbind(LD,TD,CD,RD) # Percentiles without QD CONST<-percent(PDM,type=c("c","r","s","t"),w,Rs,ratio) CONST # PDM with QD PDM<-cbind(LD,TD,CD,QD,RD) # Percentiles with QD CONST<-percent(PDM,type=c("c","q","r","s","t"),w,Rs,ratio) CONST
Simulating the effects of the estimation uncertainty.
phase1(x,a=-0.1,b=0.30,pdftype="uniform")phase1(x,a=-0.1,b=0.30,pdftype="uniform")
x |
is either a Project Domain Matrix (a numeric matrix), where PDM=[LD,TD, CD, <QD,RD>]. LD is an N by N upper triangular matrix of logic domain (a numeric matrix); TD is an N by w matrix of task durations (a numeric matrix); CD is an N by w matrix of cost demands (a numeric matrix); QD is an optinal N by w matrix of quality parameters (a numeric optional matrix); RD is an N by w*nR matrix of resource demands (a numeric optional matrix), or PDM list, which contain a PDM matrix, and the number of completion modes (w) and the number of resources. |
a |
optimistic duration, the negative percent deviation from the actual duration (a negative value). The default value is a=-0.1, which means if the actual duration is 1, the minimal possible duration is 0.9. |
b |
pessimistic duration, the positive percent deviation from the actual duration (a positive value). The default value is b=0.3, which means if the actual duration is 1, the maximal possible duration is 1.3. |
pdftype |
the pdftype is either 'uniform' or 'beta' (the default value is 'uniform'), which means the generated distribution either follows uniform or a beta distribution betweem interval [a,b] |
The changed demands are generated by the interval between [o+a,o+b], where o is the original value. The random generator can follow uniform (=default), or beta distribution.
PDMout |
PDM matrix with same structure as the input PDM matrix (a matrix). |
Zsolt T. Kosztyan*, Aamir Saghir
e-mail: [email protected]
Kosztyán, Z. T. (2022). MFPP: Matrix-based flexible project planning. SoftwareX, 17, 100973.
tpc, tpq, tpt, tpr,maxscore_PEM,phase2,phase3, generatepdm.
# Simulation of project domain matrix based on customer claims # of a project scenario using MFPP package. # Generate a project domain matrix based on # logic domain, task duration, cost demans, # quality parameters (optional), resource demand (optional) of a project. PDM=generatepdm(30,0.05,0,20,30,20,2,2,2,QD=TRUE,lst=TRUE) PDM # Define negative percentage deviation from actual duration. a=-0.20 # Define negative percentage deviation from actual duration. b=0.40 # Simulate the effects of estimation uncertainty of a project scenario using MFPP package # with default values. Res<-phase1(PDM) summary(Res) # Simulate the estimation uncertainty of customer claims of a project scenario using MFPP package # with specified values. Res<-phase1(PDM$PDM,a,b,"beta") summary(Res,w=2,Rs=2)# Simulation of project domain matrix based on customer claims # of a project scenario using MFPP package. # Generate a project domain matrix based on # logic domain, task duration, cost demans, # quality parameters (optional), resource demand (optional) of a project. PDM=generatepdm(30,0.05,0,20,30,20,2,2,2,QD=TRUE,lst=TRUE) PDM # Define negative percentage deviation from actual duration. a=-0.20 # Define negative percentage deviation from actual duration. b=0.40 # Simulate the effects of estimation uncertainty of a project scenario using MFPP package # with default values. Res<-phase1(PDM) summary(Res) # Simulate the estimation uncertainty of customer claims of a project scenario using MFPP package # with specified values. Res<-phase1(PDM$PDM,a,b,"beta") summary(Res,w=2,Rs=2)
Phase 2 simulates the shock effects. Where p percent of task demands can be increased up to s times.
phase2 (x,p=0.10, s=5.0)phase2 (x,p=0.10, s=5.0)
x |
is either a Project Domain Matrix (a numeric matrix), where PDM=[LD,TD, CD, <QD,RD>]. LD is an N by N upper triangular matrix of logic domain (a numeric matrix); TD is an N by w matrix of task durations (a numeric matrix); CD is an N by w matrix of cost demands (a numeric matrix); QD is an optinal N by w matrix of quality parameters (a numeric optional matrix); RD is an N by w*nR matrix of resource demands (a numeric optional matrix), or PDM list, which contain a PDM matrix, and the number of completion modes (w) and the number of resources. |
p |
Probability factor for task selection (a numeric value between 0 and 1). The default value is p=1.00 |
s |
Scale factor: the ratio of the modification (a numeric integer). The default value is s=5.0 |
PDMout |
PDM matrix with same structure as the input PDM matrix (a matrix). |
Zsolt T. Kosztyan*, Aamir Saghir
e-mail: [email protected]
Kosztyán, Z. T. (2022). MFPP: Matrix-based flexible project planning. SoftwareX, 17, 100973.
tpc, tpq, tpt, tpr,maxscore_PEM,phase1,phase3, generatepdm.
# Simulation of project domain matrix based on customer claims # of a project scenario using MFPP package. # Generate a project domain matrix based on # logic domain, task duration, cost demans, # quality parameters (optional), resource demand (optional) of a project. PDM=generatepdm(30,0.05,0,20,30,20,2,2,2,QD=TRUE,lst=TRUE) PDM # Define probability factor for task selection of a project. p=0.10 # Choose a scale factor for the ration of modification. s=5.0 # Simulate the shock effect of a project scenario using MFPP package # with default values. Res<-phase2(PDM) summary(Res) # Simulate the effect of a project scenario using MFPP package # with specified values. Res<-phase2(PDM$PDM,p,s) summary(Res,w=2,Rs=2)# Simulation of project domain matrix based on customer claims # of a project scenario using MFPP package. # Generate a project domain matrix based on # logic domain, task duration, cost demans, # quality parameters (optional), resource demand (optional) of a project. PDM=generatepdm(30,0.05,0,20,30,20,2,2,2,QD=TRUE,lst=TRUE) PDM # Define probability factor for task selection of a project. p=0.10 # Choose a scale factor for the ration of modification. s=5.0 # Simulate the shock effect of a project scenario using MFPP package # with default values. Res<-phase2(PDM) summary(Res) # Simulate the effect of a project scenario using MFPP package # with specified values. Res<-phase2(PDM$PDM,p,s) summary(Res,w=2,Rs=2)
Phase 3 selects P percent of nodes (i.e. tasks) or arcs (i.e. dependencies), where the score value can be changed up to the maximal change effects.
phase3 (x,p=0.10, s=0.50, nW=0)phase3 (x,p=0.10, s=0.50, nW=0)
x |
is either a Project Domain Matrix (a numeric matrix), where PDM=[LD,TD, CD, <QD,RD>]. LD is an N by N upper triangular matrix of logic domain (a numeric matrix); TD is an N by w matrix of task durations (a numeric matrix); CD is an N by w matrix of cost demands (a numeric matrix); QD is an optinal N by w matrix of quality parameters (a numeric optional matrix); RD is an N by w*nR matrix of resource demands (a numeric optional matrix), or PDM list, which contain a PDM matrix, and the number of completion modes (w) and the number of resources. |
p |
Probability of structural change (default value is p=0.10). |
s |
Increase/decrease ratio of priorities (default value is s=0.50). |
nW |
Number of unplanned tasks (default value is nW=0). |
PDMout |
PDM matrix with same structure as the input PDM matrix (a matrix). |
Zsolt T. Kosztyan*, Aamir Saghir
e-mail: [email protected]
Kosztyán, Z. T. (2022). MFPP: Matrix-based flexible project planning. SoftwareX, 17, 100973.
tpc, tpq, tpt, tpr,phase1,phase2,maxscore_PEM, generatepdm.
# Simulation of project domain matrix based on customer claims # of a project scenario using MFPP package. # Generate a project domain matrix based on # logic domain, task duration, cost demans, # quality parameters (optional), resource demand (optional) of a project. PDM=generatepdm(30,0.05,0,20,30,20,2,2,2,QD=TRUE,lst=TRUE) PDM # Define probability factor for task selection and dependency selecton of a project. p=0.10 # Choose a scale factor for the ration of modification. s=0.10 # Simulate the effects of change of customer claims of a project scenario using MFPP package # with default values. Res<-phase3(PDM) summary(Res) # Simulate the effects of change of customer claims of a project scenario using MFPP package # with specified values. Res<-phase3(PDM$PDM,p,s,nW=2) summary(Res,w=2,Rs=2)# Simulation of project domain matrix based on customer claims # of a project scenario using MFPP package. # Generate a project domain matrix based on # logic domain, task duration, cost demans, # quality parameters (optional), resource demand (optional) of a project. PDM=generatepdm(30,0.05,0,20,30,20,2,2,2,QD=TRUE,lst=TRUE) PDM # Define probability factor for task selection and dependency selecton of a project. p=0.10 # Choose a scale factor for the ration of modification. s=0.10 # Simulate the effects of change of customer claims of a project scenario using MFPP package # with default values. Res<-phase3(PDM) summary(Res) # Simulate the effects of change of customer claims of a project scenario using MFPP package # with specified values. Res<-phase3(PDM$PDM,p,s,nW=2) summary(Res,w=2,Rs=2)
Plot function for the Package of Matrix-Based Flexible Project Planning (mfpp)
## S3 method for class 'PDM_matrix' plot(x,w=NULL,Rs=NULL, type=c("orig","max","min","maximin","minimax","most","const"), main=NULL,col=NULL,...) ## S3 method for class 'PDM_list' plot(x, type=c("orig","max","min","maximin","minimax","most","const"), main=NULL,col=NULL, ...) ## S3 method for class 'Set_PDM_matrix' plot(x,w=NULL,Rs=NULL, type=c("orig","max","min","maximin","minimax","most","const"),col=NULL, ...) ## S3 method for class 'Set_PDM_list' plot(x, type=c("orig","max","min","maximin","minimax","most","const"),col=NULL, ...) ## S3 method for class 'TPT' plot(x, sched="E", ...)## S3 method for class 'PDM_matrix' plot(x,w=NULL,Rs=NULL, type=c("orig","max","min","maximin","minimax","most","const"), main=NULL,col=NULL,...) ## S3 method for class 'PDM_list' plot(x, type=c("orig","max","min","maximin","minimax","most","const"), main=NULL,col=NULL, ...) ## S3 method for class 'Set_PDM_matrix' plot(x,w=NULL,Rs=NULL, type=c("orig","max","min","maximin","minimax","most","const"),col=NULL, ...) ## S3 method for class 'Set_PDM_list' plot(x, type=c("orig","max","min","maximin","minimax","most","const"),col=NULL, ...) ## S3 method for class 'TPT' plot(x, sched="E", ...)
x |
an object of class 'PDM_matrix' or 'PDM_list'. |
w |
number of completion modes (positive integer) |
Rs |
number of resources (positive integer) |
type |
set of plots, where (orig) means original, (min) minimal, (max) maximal, (maximin) maximin, (minimax) minimax structures are plotted, respectively, and as well as the minimal/maximal constraints (const) |
sched |
character starts are calculated either "E" to early, or "L" to late, or "S" to scheduled start time |
main |
title of the plot of fixed structure |
col |
color of barplot |
... |
other graphical parameters. |
No return value, called for side effects
Zsolt T. Kosztyan*, Aamir Saghir
e-mail: [email protected]
Kosztyán, Z. T. (2022). MFPP: Matrix-based flexible project planning. SoftwareX, 17, 100973.
summary, generatepdm, percent.
# Plot PDM lists. # Define number of modes, flexibility factor and connectivity factor of a project scenerio. N=4;ff=0.3;cf=0 # Define maximum value of time domain, Cost domain and Resourcces domain of a project scenerio. mTD=3;mCD=4;mRD=3 # Define number of modes, number of resources, # number of possible extra tasks, scale and quality domain of a project scenerio. w=2;nR=2;nW=2 scale=1.6 # Generation of PDM list for TCTP a project scenario using MFPP package. PDM<-generatepdm(N,ff,cf,mTD,mCD,mRD,w,nR,nW,scale,lst=TRUE) plot(PDM)# Plot PDM lists. # Define number of modes, flexibility factor and connectivity factor of a project scenerio. N=4;ff=0.3;cf=0 # Define maximum value of time domain, Cost domain and Resourcces domain of a project scenerio. mTD=3;mCD=4;mRD=3 # Define number of modes, number of resources, # number of possible extra tasks, scale and quality domain of a project scenerio. w=2;nR=2;nW=2 scale=1.6 # Generation of PDM list for TCTP a project scenario using MFPP package. PDM<-generatepdm(N,ff,cf,mTD,mCD,mRD,w,nR,nW,scale,lst=TRUE) plot(PDM)
Print PDM constraints, matrices, lists, sets, collections.
## S3 method for class 'PDM_const' summary(object, digits = getOption("digits"), ...) ## S3 method for class 'PDM_matrix' summary(object, digits = getOption("digits"),w=getOption("w"),Rs=getOption("Rs"), ...) ## S3 method for class 'PDM_list' summary(object, digits = getOption("digits"), ...) ## S3 method for class 'Set_PDM_matrix' summary(object, digits = getOption("digits"),w=getOption("w"),Rs=getOption("Rs"), ...) ## S3 method for class 'Set_PDM_list' summary(object, digits = getOption("digits"), ...) ## S3 method for class 'Collection_PDM' summary(object, digits = getOption("digits"), ...) ## S3 method for class 'TPT' summary(object, digits = getOption("digits"), ...)## S3 method for class 'PDM_const' summary(object, digits = getOption("digits"), ...) ## S3 method for class 'PDM_matrix' summary(object, digits = getOption("digits"),w=getOption("w"),Rs=getOption("Rs"), ...) ## S3 method for class 'PDM_list' summary(object, digits = getOption("digits"), ...) ## S3 method for class 'Set_PDM_matrix' summary(object, digits = getOption("digits"),w=getOption("w"),Rs=getOption("Rs"), ...) ## S3 method for class 'Set_PDM_list' summary(object, digits = getOption("digits"), ...) ## S3 method for class 'Collection_PDM' summary(object, digits = getOption("digits"), ...) ## S3 method for class 'TPT' summary(object, digits = getOption("digits"), ...)
object |
an object of class 'PDM_const', 'PDM_matrix', 'PDM_list', 'Set_PDM_matrix', or 'Set_PDM_list'. |
digits |
the number of significant digits to use when |
w |
number of completion modes (positive integer) |
Rs |
number of resources (positive integer) |
... |
additional arguments affecting the print produced. |
No return value, called for side effects
Zsolt T. Kosztyan*, Aamir Saghir
e-mail: [email protected]
Kosztyán, Z. T. (2022). MFPP: Matrix-based flexible project planning. SoftwareX, 17, 100973.
generatepdm,get.structures, percent,plot.
# Print PDM constriants, matrices, lists, and sets. # Define number of modes, flexibility factor and connectivity factor of a project scenerio. N=4;ff=0.05;cf=0 # Define maximum value of time domain, Cost domain and Resourcces domain of a project scenerio. mTD=3;mCD=4;mRD=3 # Define number of modes, number of resources, # number of possible extra tasks, scale and quality domain of a project scenerio. w=2;nR=2;nW=2 scale=1.4 #(default value) # Generation of PDM list for TCTP a project scenario using MFPP package. PDM<-generatepdm(N,ff,cf,mTD,mCD,mRD,w,nR,nW,scale=1.4,lst=TRUE) # Generate PDM maximal constraints (ratio=1.0) CONST<-percent(PDM) # Calculate main structures PDMs<-get.structures(PDM) # print of PDM constraint summary(CONST) # print of PDM list summary(PDM) # print of main structures of PDM matrices summary(PDMs) # print of PDM collection data(Boctor) collection<-Boctor summary(collection) # schedule table of the first completion mode of the first project structure # get the first project structure PDM<-collection[[1]]$PDM_list$PDM # get the logic domain LD<-PDM[1:nrow(PDM),1:nrow(PDM)] # get the time demands of the first completion mode TD<-PDM[1:nrow(PDM),nrow(PDM)+1] # calculate TPT TPT<-tpt(LD,TD) # print schedule table summary(TPT)# Print PDM constriants, matrices, lists, and sets. # Define number of modes, flexibility factor and connectivity factor of a project scenerio. N=4;ff=0.05;cf=0 # Define maximum value of time domain, Cost domain and Resourcces domain of a project scenerio. mTD=3;mCD=4;mRD=3 # Define number of modes, number of resources, # number of possible extra tasks, scale and quality domain of a project scenerio. w=2;nR=2;nW=2 scale=1.4 #(default value) # Generation of PDM list for TCTP a project scenario using MFPP package. PDM<-generatepdm(N,ff,cf,mTD,mCD,mRD,w,nR,nW,scale=1.4,lst=TRUE) # Generate PDM maximal constraints (ratio=1.0) CONST<-percent(PDM) # Calculate main structures PDMs<-get.structures(PDM) # print of PDM constraint summary(CONST) # print of PDM list summary(PDM) # print of main structures of PDM matrices summary(PDMs) # print of PDM collection data(Boctor) collection<-Boctor summary(collection) # schedule table of the first completion mode of the first project structure # get the first project structure PDM<-collection[[1]]$PDM_list$PDM # get the logic domain LD<-PDM[1:nrow(PDM),1:nrow(PDM)] # get the time demands of the first completion mode TD<-PDM[1:nrow(PDM),nrow(PDM)+1] # calculate TPT TPT<-tpt(LD,TD) # print schedule table summary(TPT)
Calculate cost demands of a project structure.
tpc(DSM,CD)tpc(DSM,CD)
DSM |
N by N Upper triangular binary matrix of logic domain (a numeric matrix). |
CD |
N by 1 vector of cost demands (a numeric vector). |
TPC |
Total Project Cost (a scalar). |
Zsolt T. Kosztyan*, Aamir Saghir
e-mail: [email protected]
Kosztyán, Z. T. (2022). MFPP: Matrix-based flexible project planning. SoftwareX, 17, 100973.
tpc, tpt, tpq, tpr, maxscore_PEM.
# Calculation of TPC for a generated project scenario. # using MFPP package. # Generation of 10 by 10 Upper triangular binary matrix (DSM) of logic domain. library(Matrix) library(pracma) DSM<-triu(round(rand(10)*.5+.5)) # Generate DSM # Generation of 10 by 1 cost vector (cost demands 30) C<-rand(10,1)*30 # Generate C vector (cost demands) # Calculation of total project cost using MFPP package. TPC<-tpc(DSM,C) # Calculate TPC# Calculation of TPC for a generated project scenario. # using MFPP package. # Generation of 10 by 10 Upper triangular binary matrix (DSM) of logic domain. library(Matrix) library(pracma) DSM<-triu(round(rand(10)*.5+.5)) # Generate DSM # Generation of 10 by 1 cost vector (cost demands 30) C<-rand(10,1)*30 # Generate C vector (cost demands) # Calculation of total project cost using MFPP package. TPC<-tpc(DSM,C) # Calculate TPC
Calculate Total Project Quality of a project structure.
tpq (DSM,PEM,q,QD=NULL)tpq (DSM,PEM,q,QD=NULL)
DSM |
N by N Upper triangular binary matrix of logic domain (a project structure of a PEM matrix)(a numeric matrix). |
PEM |
N by N Upper triangular binary matrix of logic domain (a numeric matrix). |
q |
N by 1 vector of quality parameters (a numeric vector). |
QD |
N by w Quality Domain to calculate relative TPQ. The default value is QD=NULL |
TPQ |
Total Project Quality (a scalar). |
Zsolt T. Kosztyan, Aamir Saghir*
e-mail: [email protected]
Kosztyán, Z. T. (2022). MFPP: Matrix-based flexible project planning. SoftwareX, 17, 100973.
tpc, tpr, tpt, maxscore_PEM.
# Calculatation of total project quality of a project using MFPP package. library(pracma) # Generation of a 10 by 10 upper triangular binary matrix (PEM) of logic domain of a project. PEM <- triu(rand(10)*0.5+0.5) # Generation of a 10 by 10 Upper triangular binary matrix of logic domain # (a project structureof a PEM matrix). DSM <- round(PEM) # Generation of a 10 by 1 vector of quality parameters of a project. q <- rand(10,1) # For fixed project plan the TPQ is the geometric mean of quality parameters tpq(DSM,DSM,q) # For flexibility project plan the TPQ # is the weighted geometric mean of # quality parameters tpq(DSM,PEM, q) QD2<-cbind(q,rand(10,1)) # Generate two completion modes # Calculate relative quality considering the best choice tpq(DSM,PEM,q,QD2)# Calculatation of total project quality of a project using MFPP package. library(pracma) # Generation of a 10 by 10 upper triangular binary matrix (PEM) of logic domain of a project. PEM <- triu(rand(10)*0.5+0.5) # Generation of a 10 by 10 Upper triangular binary matrix of logic domain # (a project structureof a PEM matrix). DSM <- round(PEM) # Generation of a 10 by 1 vector of quality parameters of a project. q <- rand(10,1) # For fixed project plan the TPQ is the geometric mean of quality parameters tpq(DSM,DSM,q) # For flexibility project plan the TPQ # is the weighted geometric mean of # quality parameters tpq(DSM,PEM, q) QD2<-cbind(q,rand(10,1)) # Generate two completion modes # Calculate relative quality considering the best choice tpq(DSM,PEM,q,QD2)
Calculate maximum resource demands of a project scenario.
tpr (SST,DSM,TD, RD,res.graph=FALSE)tpr (SST,DSM,TD, RD,res.graph=FALSE)
SST |
N by 1 vector of Scheduled Start Time (a numeric vector). |
DSM |
N by N binary upper triangular matrix of the logic domain (a numeric matrix). |
TD |
N by 1 vector of task durations (a numeric vector). |
RD |
N by nR matrix of resource demands (a numeric matrix). |
res.graph |
Logic value of whether plot or not the resource graph |
rMAX |
an nR by 1 vector of maximum resource demands (a scalar vector). |
Zsolt T. Kosztyan*, Aamir Saghir
e-mail: [email protected]
Kosztyán, Z. T. (2022). MFPP: Matrix-based flexible project planning. SoftwareX, 17, 100973.
tpc, tpq, tpt, maxscore_PEM.
# Calculatation of maximum resource demands of a project scenario using MFPP package. library(pracma) # Generate a 10 by 10 upper triangular binary matrix (DSM) of logic domain of a project. DSM <- triu(round(rand(10))) # Generate a 10 by 1 vector of task durations of a project. TD <- rand(10,1)*20 # Define a 10 by 1 vector of Scheduled Start Time using tpt function. SST <- tpt(DSM,TD)[["EST"]] # Generate a 10 by 3 matrix of resource demands of a project. RD <- rand(10,3)*5 # Calculation of maximum resource demands of a project using MFPP package. tpr(SST,DSM,TD, RD) ## Plot resources for SST tpr(SST,DSM,TD,RD,res.graph = TRUE)# Calculatation of maximum resource demands of a project scenario using MFPP package. library(pracma) # Generate a 10 by 10 upper triangular binary matrix (DSM) of logic domain of a project. DSM <- triu(round(rand(10))) # Generate a 10 by 1 vector of task durations of a project. TD <- rand(10,1)*20 # Define a 10 by 1 vector of Scheduled Start Time using tpt function. SST <- tpt(DSM,TD)[["EST"]] # Generate a 10 by 3 matrix of resource demands of a project. RD <- rand(10,3)*5 # Calculation of maximum resource demands of a project using MFPP package. tpr(SST,DSM,TD, RD) ## Plot resources for SST tpr(SST,DSM,TD,RD,res.graph = TRUE)
Calculate EST, EFT, LST and LFT times of activity of a project.
tpt(DSM,TD,SST=NULL)tpt(DSM,TD,SST=NULL)
DSM |
N by N Upper triangular binary matrix of logic domain (a numeric matrix). |
TD |
N by 1 vector of time duration (a numeric vector). |
SST |
N by 1 vector of scheduled start time (a numeric vector). |
TPT |
Total Project Time (a scalar). |
EST |
Early Start Time (a vector). |
EFT |
Early Finish Time (a vector). |
LST |
Latest Start Time (a vector). |
LFT |
Latest Finish Time (a vector). |
SST |
Scheduled Start Time (a vector). |
SFT |
Scheduled Finish Time (a vector). |
Zsolt T. Kosztyan*, Aamir Saghir
e-mail: [email protected]
Kosztyán, Z. T. (2022). MFPP: Matrix-based flexible project planning. SoftwareX, 17, 100973.
tpc, tpq, tpr, maxscore_PEM.
# Calculatation of EST, EFT, LST and LFT times of activity of a project # Define a 3 by 3 upper triangular binary matrix (DSM) of logic domain (LD) of a project. # Specify sequence of three tasks # Diagonal values indicates the priority of tasks # 1=the task is mandatory LD<-rbind(c(1,1,0), c(0,1,1), c(0,0,1)) # Define a 3 by 1 vector of time durations of a project, where the durations are 3,4,5 respectively. TD<-c(3,4,5) # Calculate project duration (total project time, TPT) TPT<-tpt(LD,TD) summary(TPT) # Specify initial scheduled start time, where the delay is 1 for the . SST <- c(1,0,0) # Including scheduled starts and finishes. TPT<-tpt(LD,TD,SST) # Print schedule table summary(TPT) # Plot the scheduled Gantt chart plot(TPT,sched="S")# Calculatation of EST, EFT, LST and LFT times of activity of a project # Define a 3 by 3 upper triangular binary matrix (DSM) of logic domain (LD) of a project. # Specify sequence of three tasks # Diagonal values indicates the priority of tasks # 1=the task is mandatory LD<-rbind(c(1,1,0), c(0,1,1), c(0,0,1)) # Define a 3 by 1 vector of time durations of a project, where the durations are 3,4,5 respectively. TD<-c(3,4,5) # Calculate project duration (total project time, TPT) TPT<-tpt(LD,TD) summary(TPT) # Specify initial scheduled start time, where the delay is 1 for the . SST <- c(1,0,0) # Including scheduled starts and finishes. TPT<-tpt(LD,TD,SST) # Print schedule table summary(TPT) # Plot the scheduled Gantt chart plot(TPT,sched="S")
Drop excluded tasks, where the diagonal value is 0.
truncpdm(x)truncpdm(x)
x |
N by M PDM matrix or a PDM list. |
PDM |
N by M PDM matrix or a PDM list |
Zsolt T. Kosztyan*, Aamir Saghir
e-mail: [email protected]
Kosztyán, Z. T. (2022). MFPP: Matrix-based flexible project planning. SoftwareX, 17, 100973.
# Generation of PDM matrix for flexible project planning MFPP package. # Define number of modes, flexibility factor and connectivity factor of a project scenerio. N=4;ff=0.05;cf=0 # Define maximum value of time domain, Cost domain and Resourcces domain of a project scenerio. mTD=3;mCD=4;mRD=3 # Define number of modes, number of resources, # number of possible extra tasks, scale and quality domain of a project scenerio. w=2;nR=2;nW=2 scale=1.4 #(default value) # Generation of PDM matrix for TCTP a project scenario using MFPP package. PDM<-generatepdm(N,ff,cf,mTD,mCD,mRD,w,nR,nW,scale=1.4) # Drop excluded tasks. PDM<-truncpdm(PDM) # Generation of PDM list for TCTP a project scenario using MFPP package. PDM<-generatepdm(N,ff,cf,mTD,mCD,mRD,w,nR,nW,scale=1.4,QD=FALSE,lst=TRUE) # Drop excluded tasks. PDM<-truncpdm(PDM)# Generation of PDM matrix for flexible project planning MFPP package. # Define number of modes, flexibility factor and connectivity factor of a project scenerio. N=4;ff=0.05;cf=0 # Define maximum value of time domain, Cost domain and Resourcces domain of a project scenerio. mTD=3;mCD=4;mRD=3 # Define number of modes, number of resources, # number of possible extra tasks, scale and quality domain of a project scenerio. w=2;nR=2;nW=2 scale=1.4 #(default value) # Generation of PDM matrix for TCTP a project scenario using MFPP package. PDM<-generatepdm(N,ff,cf,mTD,mCD,mRD,w,nR,nW,scale=1.4) # Drop excluded tasks. PDM<-truncpdm(PDM) # Generation of PDM list for TCTP a project scenario using MFPP package. PDM<-generatepdm(N,ff,cf,mTD,mCD,mRD,w,nR,nW,scale=1.4,QD=FALSE,lst=TRUE) # Drop excluded tasks. PDM<-truncpdm(PDM)