Open Access Peer-reviewed

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

P.K. Sahoo1, M. Pattnaik2,

1Vice Chancellor, Utkal University, Bhubaneswar, India

2Department of Business Administration, Utkal University, Bhubaneswar India

Journal of Business and Management Sciences. 2013, 1(3), 36-43. DOI: 10.12691/jbms-1-3-2
Published online: August 25, 2017

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
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