Multi-objective two-stage grey transportation problem using utility function with goals

Sankar Kumar Roy (), Gurupada Maity () and Gerhard-Wilhelm Weber ()
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Sankar Kumar Roy: Vidyasagar University
Gurupada Maity: Vidyasagar University
Gerhard-Wilhelm Weber: Middle East Technical University

Central European Journal of Operations Research, 2017, vol. 25, issue 2, No 8, 417-439

Abstract: Abstract 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.

Keywords: Transportation problem; Multi-objective decision making; Goal programming; Grey number; Utility function; 90B06; 90C29 (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (14)

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DOI: 10.1007/s10100-016-0464-5

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