A solid transportation problem with fuzzy random costs and constraints
type: Item
instance of: scholarly article
title: A solid transportation problem with fuzzy random costs and constraints
zbMATH Open document ID: 1390.90063
DOI: 10.1504/IJMOR.2012.049938
author: Pravash Kumar Giri
author: M. K. Maiti
author: Manoranjan Maiti
published in: International Journal of Mathematics in Operational Research
publication date: 2018-05-29T00:00:00Z
review text: Summary: Three Fuzzy Random Solid Transportation Problems (FRSTPs) are proposed, where both fuzziness and randomness occur simultaneously in costs and times. Among the models, the first one is a multi-objective model minimising both fuzzy-random total cost and time and other two are fuzzy-random single objective ones with fuzzy-random/fuzzy constraint on time. The fuzzy-random models are transformed to deterministic multi-objective constrained problems following \textit{S. Nanda} et al. [Fuzzy Optim. Decis. Mak. 7, No. 1, 59--74 (2008; Zbl 1172.90521)]. Finally Pareto optimal decisions are derived using an elitist Multi-Objective Genetic Algorithm (MOGA) with cyclic crossover, two-point mutation and a refining operation.
Mathematics Subject Classification ID: 90B06
Mathematics Subject Classification ID: 90C29
Mathematics Subject Classification ID: 90C59
zbMATH DE Number: 6876001
zbMATH Keywords: fuzzy random variables
zbMATH Keywords: solid transport problem
zbMATH Keywords: fuzzy normal distribution
zbMATH Keywords: MOGA
zbMATH Keywords: fuzzy random constraint
MaRDI profile type: Publication
full work available at URL: ijmor.2012.049938
OpenAlex ID: W1999459170
description: scientific article; zbMATH DE number 6876001