Conic scalarization approach to solve multi-choice multi-objective transportation problem with interval goal

Date

2017-06-01

Author

Roy, Sankar Kumar
Maity, Gurupada
Weber, Gerhard Wilhelm
ALPARSLAN GÖK, Sırma Zeynep

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This paper explores the study of multi-choice multi-objective transportation problem (MCMTP) under the light of conic scalarizing function. MCMTP is a multi-objective transportation problem (MOTP) where the parameters such as cost, demand and supply are treated as multi-choice parameters. A general transformation procedure using binary variables is illustrated to reduce MCMTP into MOTP. Most of the MOTPs are solved by goal programming (GP) approach, but the solution of MOTP may not be satisfied all times by the decision maker when the objective functions of the proposed problem contains interval-valued aspiration levels. To overcome this difficulty, here we propose the approaches of revised multi-choice goal programming (RMCGP) and conic scalarizing function into the MOTP, and then we compare among the solutions. Two numerical examples are presented to show the feasibility and usefulness of our paper. The paper ends with a conclusion and an outlook on future studies.

Subject Keywords

Transportation Problem, Multi-Objective Decision Making, Multi-Choice Programming, Goal Programming, Conic Scalarization, Interval Uncertainty

URI

https://hdl.handle.net/11511/56563

Journal

ANNALS OF OPERATIONS RESEARCH

DOI

https://doi.org/10.1007/s10479-016-2283-4

Collections

Graduate School of Applied Mathematics, Article

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Citation Formats

S. K. Roy, G. Maity, G. W. Weber, and S. Z. ALPARSLAN GÖK, “Conic scalarization approach to solve multi-choice multi-objective transportation problem with interval goal,” ANNALS OF OPERATIONS RESEARCH, pp. 599–620, 2017, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/56563.