Multi-objective two-stage grey transportation problem using utility function with goals. (English) Zbl 1370.90027
Summary: Multi-Objective Goal Programming is applied to solve problems in many application areas of real-life decision making problems. We formulate the mathematical model of Two-Stage Multi-Objective Transportation Problem (MOTP) where we design the feasibility space based on the selection of goal values. Considering the uncertainty in real-life situations, we incorporate grey parameters for supply and demands into the Two-Stage MOTP, and a procedure is applied to reduce the grey numbers into real numbers. Thereafter, we present a solution procedure to the proposed problem by introducing an algorithm and using the approach of Revised Multi-Choice Goal Programming. In the proposed algorithm, we introduce a utility function for selecting the goals of the objective functions. A numerical example is encountered to justify the reality and feasibility of our proposed study. Finally, the paper ends with a conclusion and an outlook to future investigations of the study.
MSC:
| 90B06 | Transportation, logistics and supply chain management |
| 90C29 | Multi-objective and goal programming |
Keywords:
transportation problem; multi-objective decision making; goal programming; grey number; utility functionReferences:
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