A generalized interval fuzzy mixed integer programming model for a multimodal transportation problem under uncertainty

A generalized interval fuzzy mixed integer programming model is proposed for the multimodal freight transportation problem under uncertainty, in which the optimal mode of transport and the optimal amount of each type of freight transported through each path need to be decided. For practical purposes...

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Bibliographic Details
Published in:Engineering optimization Vol. 49; no. 3; pp. 481 - 498
Main Authors: Tian, Wenli, Cao, Chengxuan
Format: Journal Article
Language:English
Published: Abingdon Taylor & Francis 04.03.2017
Taylor & Francis Ltd
Subjects:
Algorithms
Equivalence
Freight transportation
Fuzzy
generalized interval fuzzy mixed integer programming
heuristic algorithm
Integer programming
Intermodal transportation
Intervals
Linear programming
linear relaxation algorithm
Mathematical models
Multimodal transportation under uncertainty
Optimization
Uncertainty
ISSN:0305-215X, 1029-0273
Online Access:Get full text
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Summary:A generalized interval fuzzy mixed integer programming model is proposed for the multimodal freight transportation problem under uncertainty, in which the optimal mode of transport and the optimal amount of each type of freight transported through each path need to be decided. For practical purposes, three mathematical methods, i.e. the interval ranking method, fuzzy linear programming method and linear weighted summation method, are applied to obtain equivalents of constraints and parameters, and then a fuzzy expected value model is presented. A heuristic algorithm based on a greedy criterion and the linear relaxation algorithm are designed to solve the model.
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ISSN:0305-215X
1029-0273
DOI:10.1080/0305215X.2016.1190351