ProjectManagement (version 1.5.2)

rebuild: 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))

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.

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.

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)