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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Vydáno v:International journal of fuzzy system applications Ročník 5; číslo 3; s. 1 - 13
Hlavní autoři: Barik, Suresh Kumar, Biswal, M P
Médium: Journal Article
Jazyk:angličtina
Vydáno: Hershey IGI Global 01.07.2016
Témata:
Decision-making
Linear programming
Mathematical programming
Random variables
India
ISSN:2156-177X, 2156-1761
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Abstract 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.
AbstractList 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.
Audience Academic
Author Barik, Suresh Kumar
Biswal, M P
AuthorAffiliation Department of Mathematics, IIT Kharagpur, Kharagpur, India
Department of Mathematics, KIIT University, Bhubaneswar, India
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Copyright © 2016, IGI Global. Copying or distributing in print or electronic forms without written permission of IGI Global is prohibited.
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SubjectTerms Decision-making
Linear programming
Mathematical programming
Random variables
Title Possibilistic Linear Programming Problems involving Normal Random Variables
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