A solid transportation problem with fuzzy random costs and constraints

Pravash Kumar Giri, Manas Kumar Maiti and Manoranjan Maiti

International Journal of Mathematics in Operational Research, 2012, vol. 4, issue 6, 651-678

Abstract: 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 Nanda, S., Panda, G., Dash, J.K., (2008) 'A new methodology for crisp equivalent of fuzzy chance constrained programming problem', Fuzzy Optim. Decision Making, Vol. 7, pp.5974. Finally Pareto optimal decisions are derived using an elitist Multi-Objective Genetic Algorithm (MOGA) with cyclic crossover, two-point mutation and a refining operation.

Keywords: fuzzy random variables; solid transport problem; fuzzy normal distribution; MOGA; fuzzy random constraints; multi-objective genetic algorithms; MOGA. (search for similar items in EconPapers)
Date: 2012
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.inderscience.com/link.php?id=49938 (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:ids:ijmore:v:4:y:2012:i:6:p:651-678

Access Statistics for this article

More articles in International Journal of Mathematics in Operational Research from Inderscience Enterprises Ltd
Bibliographic data for series maintained by Sarah Parker ().