Paper Info
Title
A breakable multi-item multi stage solid transportation problem under budget with Gaussian type-2 fuzzy parameters.
Abstract
This paper is based on two mathematical models for multi-item multi-stage solid transportation problem with budget on total transportation cost in Gaussian type-2 fuzzy environment considering the fixed opening charge and operating cost in distribution center. The first model is about transportation of breakable/damageable items, and the second one considers non breakable/damageable items. The main aspect here is to develop the mathematical formulation of multi stage related solid transportation problem where several items are available for transportation. In order to deal with the Gaussian type-2 fuzziness, two chance-constrained programming models are developed based on generalized credibility measures for the objective function as well as the constraints sets with the help of the CV-based reductions method. Finally the reduced model is turned into its equivalent parametric programming problem. The problem is of high complexity and is difficult to find the optimal solution by any classical method and hence a time and space based meta-heuristic Genetic Algorithm has been proposed. Also the equivalent crisp models are solved using GA and LINGO 13.0 and after comparison, GA results are better. The proposed models and techniques are finally illustrated by providing numerical examples. Some sensitivity analysis and particular cases are presented and discussed. Degrees of efficiency is also evaluated for both the techniques.
Year
DOI
Venue
2016
10.1007/s10489-016-0794-y
Appl. Intell.
Keywords
Field
DocType
Degree of efficiency, Gaussian type-2 fuzzy sets, Generalized credibility measure, Genetic algorithm, Solid transportation problem
Mathematical optimization,Distribution center,Programming paradigm,Computer science,Parametric programming,Fuzzy logic,Fuzzy transportation,Gaussian,Artificial intelligence,Mathematical model,Machine learning,Genetic algorithm
Journal
Volume
Issue
ISSN
45
3
1573-7497
Citations 
PageRank 
References 
5
0.43
18
Authors
3
Name
Order
Citations
PageRank
Amrit Das1345.21
Uttam Kumar Bera2357.25
Manoranjan Maiti351447.77