Bi-Level Multi-Objective Production Planning Problem with Multi-Choice Parameters: A Fuzzy Goal Programming Algorithm

This paper deals with the modeling and optimization of a bi-level multi-objective production planning problem, where some of the coefficients of objective functions and parameters of constraints are multi-choice. A general transformation technique based on a binary variable has been used to transfor...

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Bibliographic Details
Published in:Algorithms Vol. 12; no. 7; p. 143
Main Authors: Kamal, Murshid, Gupta, Srikant, Chatterjee, Prasenjit, Pamucar, Dragan, Stevic, Zeljko
Format: Journal Article
Language:English
Published: Basel MDPI AG 01.07.2019
Subjects:
Algorithms
bi-level programming
Decision making
fuzzy goal programming
Goal programming
Integer programming
Linear programming
Mathematical programming
multi-choice parameter
multi-objective programming
Optimization
Optimization techniques
Parameters
Production planning
ISSN:1999-4893, 1999-4893
Online Access:Get full text
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Summary:This paper deals with the modeling and optimization of a bi-level multi-objective production planning problem, where some of the coefficients of objective functions and parameters of constraints are multi-choice. A general transformation technique based on a binary variable has been used to transform the multi-choices parameters of the problem into their equivalent deterministic form. Finally, two different types of secularization technique have been used to achieve the maximum degree of individually membership goals by minimizing their deviational variables and obtained the most satisfactory solution of the formulated problem. An illustrative real case study of production planning has been discussed and, also compared to validate the efficiency and usefulness of the proposed work.
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ISSN:1999-4893
1999-4893
DOI:10.3390/a12070143