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Journal of Business and Management Sciences. 2013, 1(3), 36-43
DOI: 10.12691/JBMS-1-3-2
Original Research

Linear Programming Problem and Post Optimality Analyses in Fuzzy Space: A Case Study of a Bakery Industry

P.K. Sahoo1 and M. Pattnaik2,

1Vice Chancellor, Utkal University, Bhubaneswar, India

2Department of Business Administration, Utkal University, Bhubaneswar India

Pub. Date: June 15, 2013
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Cite this paper

P.K. Sahoo and M. Pattnaik. Linear Programming Problem and Post Optimality Analyses in Fuzzy Space: A Case Study of a Bakery Industry. Journal of Business and Management Sciences. 2013; 1(3):36-43. doi: 10.12691/JBMS-1-3-2

Abstract

This paper investigates recent techniques that have been developed for optimization of linear programming problems. In practice, there are many problems in which all decision parameters are fuzzy numbers, and such problems are usually solved by either probabilistic programming or multi objective programming methods. Unfortunately all these methods have shortcomings. In this paper, using the concept of comparison of fuzzy numbers, it is introduced a very effective method for solving these problems. With the problem assumptions, the optimal solution can still be theoretically solved using the simplex based method. To handle the fuzzy decision variables can be initially generated and then solved and improved sequentially using the fuzzy decision approach by introducing Robust’s ranking technique. The model is illustrated with a case study application. The proposed procedure was programmed and through MATLAB (R2009a) version software, the four dimensional slice diagram is represented to the application. Finally, the real case problem is presented to illustrate the effectiveness of the theoretical results, and to gain additional managerial insights for decision making.

Keywords

fuzzy, trapezoidal number, linear programming, case study

Copyright

Creative CommonsThis work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

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