Possibilistic Linear Programming Problems involving Normal Random Variables

A new solution procedure of possibilistic linear programming problem is developed involving the right hand side parameters of the constraints as normal random variables with known means and variances and the objective function coefficients are considered as triangular possibility distribution. In or...

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Bibliographic Details
Published in:International journal of fuzzy system applications Vol. 5; no. 3; pp. 1 - 13
Main Authors: Barik, Suresh Kumar, Biswal, M P
Format: Journal Article
Language:English
Published: Hershey IGI Global 01.07.2016
Subjects:
Decision-making
Linear programming
Mathematical programming
Random variables
India
ISSN:2156-177X, 2156-1761
Online Access:Get full text
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Summary:A new solution procedure of possibilistic linear programming problem is developed involving the right hand side parameters of the constraints as normal random variables with known means and variances and the objective function coefficients are considered as triangular possibility distribution. In order to solve the proposed problem, convert the problem into a crisp equivalent deterministic multi-objective mathematical programming problem and then solved by using fuzzy programming method. A numerical example is presented to illustrate the solution procedure and developed methodology.
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ISSN:2156-177X
2156-1761
DOI:10.4018/IJFSA.2016070101