OPTIMIZATION BY GA toolbox
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MANANJAYA NAYAK on 1 Feb 2023
How to put these avove value in optimazation tool box and find out the Minimize time and cost, kindly suggest.
The mathematical model of TCT problem given in the below is formed with Eqs. 5, 6, 7, 8 as constraints and Eqs. 9 and 10 as objective functions.
ct represents total cost of the project,
tt duration of the project,
cij cost of the jth mode for ith activity,
xij assignment of the jth mode for ith activity,
Tn starting time of the nth activity,
mn mode alternatives,
n total number of activity,
Tij duration of jth mode of ith activity and
Tmax maximum completion time.
According to Eq. 5, the algorithm starts at day 0. Equation 7 states that the sum of the starting time of the 37th activity, which is the last process of the project, and the duration of the same activity on jth mode should be equal or less the maximum completion time of the project. According to Eq. 7, the sum of the starting time of a predecessor activity and the duration of jth mode should be equal or less to starting time of the successor activity. The last constraint Eq. 8 expresses that only one mode j to m can be selected for all activities i to n. Accordingly, it is known that xij has 0–1 variable type which is also called binary variable.
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