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Multi-objective two-stage grey transportation problem using utility function with goals
Date
2017-06-01
Author
Roy, Sankar Kumar
Maity, Gurupada
Weber, Gerhard Wilhelm
Metadata
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Subject Keywords
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
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Transportation problem
,
Multi-objective decision making
,
Goal programming
,
Grey number
,
Utility function
URI
https://hdl.handle.net/11511/52458
Journal
CENTRAL EUROPEAN JOURNAL OF OPERATIONS RESEARCH
DOI
https://doi.org/10.1007/s10100-016-0464-5
Collections
Graduate School of Applied Mathematics, Article
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S. K. Roy, G. Maity, and G. W. Weber, “Multi-objective two-stage grey transportation problem using utility function with goals,”
CENTRAL EUROPEAN JOURNAL OF OPERATIONS RESEARCH
, pp. 417–439, 2017, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/52458.