The Method of Synthesis Functions for Solving the Multi-Criteria Linear-Fractional Transportation Problem with "Bottleneck" Criterion (original) (raw)

In the paper , it is developed an adapted version of Jose A. Diaz's algorithm [2] for solving the multi-criteria linear-fractional transportation problem with the same "bottleneck" denominators, additionally the same time "bottleneck" criterion is including separately. It generates for each (feasible) time value the best compromise multi criteria solution, which is situated closely of ideal solution. So, finally, we will obtain one finite set of function-distance optimal compromise solutions, each corresponding to one time level solutions for solving the multi-criteria fractional transportation problem with the same "bottleneck" denominators, separately including the time "bottleneck" criterion. The proposed algorithm has been tested on several examples and proved to be quite effective.