rebuild: Build a precedence matrix

In ProjectManagement: Management of Deterministic and Stochastic Projects

Build a precedence matrix

Description

This function builds a unique type 1 precedence matrix given any kind of precedence.

Usage

rebuild(prec1and2 = matrix(0), prec3and4 = matrix(0))

Arguments

prec1and2	A matrix indicating the order of precedence type 1 and 2 between the activities (Default=matrix(0)). If value (i,j)=1 then activity i precedes type 1 to j, and if (i,j)=2 then activity i precedes type 2 to j. Cycles cannot exist in a project, i.e. if an activity i precedes j then j cannot precede i.
prec3and4	A matrix indicating the order of precedence type 3 and 4 between the activities (Default=matrix(0)). If value (i,j)=3 then activity i precedes type 3 to j, and if (i,j)=4 then activity i precedes type 4 to j. Cycles cannot exist in a project, i.e. if an activity i precedes j then j cannot precede i.

Details

There are four types of precedence between two activities i,j: Type 1: the activity j cannot start until activity i has finished. Type 2: the activity j cannot start until activity i has started. Type 3: the activity j cannot end until activity i has ended. Type 4: the activity j cannot end until activity i has started.

All these precedences can be written only as type 1. It should be noted that precedence type 1 implies type 2, and type 2 implies type 4. On the other hand, precedence type 1 implies type 3, and type 3 implies type 4.

Value

A list containing:

• Precedence: precedence matrix.

• Type 2: activities related to type 2 precedence.

• Type 3: activities related to type 3 precedence.

• Type 4: activities related to type 4 precedence.

Examples

prec1and2<-matrix(c(0,1,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0),nrow=5,ncol=5,byrow=TRUE)
prec3and4<-matrix(0,nrow=5,ncol=5)
prec3and4[3,1]<-3
rebuild(prec1and2,prec3and4)

ProjectManagement documentation built on Sept. 14, 2023, 5:09 p.m.