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A fuzzy bi-criteria transportation problem

Authors:

Esmaile Keshavarz,

Esmaile KhorramAuthors Info & Claims

Computers and Industrial Engineering, Volume 61, Issue 4

Pages 947 - 957

https://doi.org/10.1016/j.cie.2011.06.007

Published: 01 November 2011 Publication History

Abstract

In this paper, a fuzzy bi-criteria transportation problem is studied. Here, the model concentrates on two criteria: total delivery time and total profit of transportation. The delivery times on links are fuzzy intervals with increasing linear membership functions, whereas the total delivery time on the network is a fuzzy interval with a decreasing linear membership function. On the other hand, the transporting profits on links are fuzzy intervals with decreasing linear membership functions and the total profit of transportation is a fuzzy number with an increasing linear membership function. Supplies and demands are deterministic numbers. A nonlinear programming model considers the problem using the max-min criterion suggested by Bellman and Zadeh. We show that the problem can be simplified into two bi-level programming problems, which are solved very conveniently. A proposed efficient algorithm based on parametric linear programming solves the bi-level problems. To explain the algorithm two illustrative examples are provided, systematically.

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Cited By

Shojaie ARaoofpanah H(2018)Solving a two-objective green transportation problem by using meta-heuristic methods under uncertain fuzzy approachJournal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology10.3233/JIFS-16158434:1(1-10)Online publication date: 1-Jan-2018
https://dl.acm.org/doi/10.3233/JIFS-161584
Hassasi HTohidi G(2016)Solving a tri-criteria best path problem using the fuzzy decision makingJournal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology10.3233/IFS-15184530:2(1207-1217)Online publication date: 1-Jan-2016
https://dl.acm.org/doi/10.3233/IFS-151845
Keshavarz E(2016)On "A fuzzy bi-criteria transportation problem"Computers and Industrial Engineering10.1016/j.cie.2016.05.03498:C(144-148)Online publication date: 1-Aug-2016
https://dl.acm.org/doi/10.1016/j.cie.2016.05.034
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A fuzzy bi-criteria transportation problem

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Published In

cover image Computers and Industrial Engineering

Computers and Industrial Engineering Volume 61, Issue 4

November, 2011

458 pages

ISSN:0360-8352

Issue’s Table of Contents

Copyright © Elsevier Ltd © 2011.

Publisher

Pergamon Press, Inc.

United States

Publication History

Published: 01 November 2011

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Cited By

Shojaie ARaoofpanah H(2018)Solving a two-objective green transportation problem by using meta-heuristic methods under uncertain fuzzy approachJournal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology10.3233/JIFS-16158434:1(1-10)Online publication date: 1-Jan-2018
https://dl.acm.org/doi/10.3233/JIFS-161584
Hassasi HTohidi G(2016)Solving a tri-criteria best path problem using the fuzzy decision makingJournal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology10.3233/IFS-15184530:2(1207-1217)Online publication date: 1-Jan-2016
https://dl.acm.org/doi/10.3233/IFS-151845
Keshavarz E(2016)On "A fuzzy bi-criteria transportation problem"Computers and Industrial Engineering10.1016/j.cie.2016.05.03498:C(144-148)Online publication date: 1-Aug-2016
https://dl.acm.org/doi/10.1016/j.cie.2016.05.034
CortéS POnieva LMuñUzuri JGuadix J(2013)A viral system algorithm to optimize the car dispatching in elevator group control systems of tall buildingsComputers and Industrial Engineering10.1016/j.cie.2012.11.00264:1(403-411)Online publication date: 1-Jan-2013
https://dl.acm.org/doi/10.1016/j.cie.2012.11.002

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