MULTI-CHOICE STOCHASTIC BI-LEVEL PROGRAMMING PROBLEM IN COOPERATIVE NATURE VIA FUZZY PROGRAMMING APPROACH

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MAITI SUMIT KUMAR; ROY SANKAR KUMAR

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Journal Paper

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Journal: JOURNAL OF INDUSTRIAL ENGINEERING INTERNATIONAL Year:2016 | Volume:12 | Issue:3 Page(s): 0-0

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Title

MULTI-CHOICE STOCHASTIC BI-LEVEL PROGRAMMING PROBLEM IN COOPERATIVE NATURE VIA FUZZY PROGRAMMING APPROACH

Author(s)

MAITI SUMIT KUMAR | ROY SANKAR KUMAR | Issue Writer Certificate

Keywords

BI-LEVEL PROGRAMMING STOCHASTIC PROGRAMMING

MULTI-CHOICE PROGRAMMING

FUZZY PROGRAMMING

NON-LINEAR PROGRAMMING

Abstract

In this paper, a Multi-Choice Stochastic Bi-Level Programming Problem (MCSBLPP) is considered where all the parameters of constraints are followed by normal distribution. The cost coefficients of the objective functions are multi-choice types. At first, all the probabilistic constraints are transformed into deterministic constraints using stochastic programming approach. Further, a general transformation technique with the help of binary variables is used to transform the multi-choice type cost coefficients of the objective functions of Decision Makers (DMs). Then the transformed problem is considered as a deterministic multichoice bi-level programming problem. Finally, a numerical example is presented to illustrate the usefulness of the paper.

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APA: Copy

MAITI, SUMIT KUMAR, & ROY, SANKAR KUMAR. (2016). MULTI-CHOICE STOCHASTIC BI-LEVEL PROGRAMMING PROBLEM IN COOPERATIVE NATURE VIA FUZZY PROGRAMMING APPROACH. JOURNAL OF INDUSTRIAL ENGINEERING INTERNATIONAL, 12(3), 0-0. SID. https://sid.ir/paper/310058/en

Vancouver: Copy

MAITI SUMIT KUMAR, ROY SANKAR KUMAR. MULTI-CHOICE STOCHASTIC BI-LEVEL PROGRAMMING PROBLEM IN COOPERATIVE NATURE VIA FUZZY PROGRAMMING APPROACH. JOURNAL OF INDUSTRIAL ENGINEERING INTERNATIONAL[Internet]. 2016;12(3):0-0. Available from: https://sid.ir/paper/310058/en

IEEE: Copy

SUMIT KUMAR MAITI, and SANKAR KUMAR ROY, “MULTI-CHOICE STOCHASTIC BI-LEVEL PROGRAMMING PROBLEM IN COOPERATIVE NATURE VIA FUZZY PROGRAMMING APPROACH,” JOURNAL OF INDUSTRIAL ENGINEERING INTERNATIONAL, vol. 12, no. 3, pp. 0–0, 2016, [Online]. Available: https://sid.ir/paper/310058/en

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