Compromise Fuzzy Multi-Objective Linear Programming (CFMOLP) heuristic for product-mix determination

► This paper models a crisp Linear Programming (LP) as a Compromise Fuzzy Multi-Objective LP (CFMOLP). ► The application of CFMOLP has been focused on an industrial engineering problem that seeks profit maximisation by optimising product-mix. ► Imprecision of the large volume of industrial data and...

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Bibliographic Details
Published in:Computers & industrial engineering Vol. 61; no. 3; pp. 582 - 590
Main Authors: Susanto, Sani, Bhattacharya, Arijit
Format: Journal Article
Language:English
Published: New York Elsevier Ltd 01.10.2011
Pergamon Press Inc
Subjects:
Compromise LP modelling
Crisps
Fuzzy
Fuzzy constraint satisfaction
Fuzzy logic
Fuzzy set theory
Heuristic
Industrial engineering
Linear programming
Mathematical analysis
Mathematical models
Multi-Objective Linear Programming (MOLP)
Optimisation
Product mixes
Product-mix
Studies
Triangular fuzzy numbers
Triangular fuzzy numbers
Product-mix
Multi-Objective Linear Programming (MOLP)
Compromise LP modelling
Fuzzy constraint satisfaction
Optimisation
ISSN:0360-8352, 1879-0550
Online Access:Get full text
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Summary:► This paper models a crisp Linear Programming (LP) as a Compromise Fuzzy Multi-Objective LP (CFMOLP). ► The application of CFMOLP has been focused on an industrial engineering problem that seeks profit maximisation by optimising product-mix. ► Imprecision of the large volume of industrial data and the conglomerated decision from all levels of management lead fuzzication of the identified constraints and the objective functions as well. ► The crisp model described is in the form of crisp-Multi-Objective Linear Programming (MOLP) with objective functions, functional constraints and non-negativity constraints. ► This model is formulated as a fuzzy-MOLP and subsequently converted into an equivalent compromise-MOLP model. ► The paper describes the development process for the CFMOLP model and its application along with appropriate interpretation. This paper models a crisp Linear Programming (LP) as a Compromise Fuzzy Multi-Objective LP (CFMOLP). The application of CFMOLP has been focused on an industrial engineering problem that seeks profit maximisation by optimising product-mix. Imprecision of the large volume of industrial data and the conglomerated decision from all levels of management lead fuzzication of the identified constraints and the objective functions as well. The crisp model described is in the form of crisp-Multi-Objective Linear Programming (MOLP) with objective functions, functional constraints and non-negativity constraints. This model is formulated as a fuzzy-MOLP and subsequently converted into an equivalent compromise-MOLP model. The paper describes the development process for the CFMOLP model and its application along with appropriate interpretation.
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ISSN:0360-8352
1879-0550
DOI:10.1016/j.cie.2011.04.013