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Fuzzy extensions to Integer Programming models of cell-formation problems in machine scheduling

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journal contribution
posted on 19.03.2015, 14:49 by Grammatoula PapaioannouGrammatoula Papaioannou, John M. Wilson
Cell formation has received much attention from academicians and practitioners because of its strategic importance to modern manufacturing practices. Existing research on cell formation problems using integer programming (IP) has achieved the target of solving problems that simultaneously optimise: (a) cell formation, (b) machine-cell allocation, and (c) part-machine allocation. This paper will present extensions of the IP model where part-machine assignment and cell formation are addressed simultaneously, and also a significant number of constraints together with an enhanced objective function are considered. The main study examines the integration of inter-cell movements of parts and machine set-up costs within the objective function, and also the combination of machine set-up costs associated with parts revisiting a cell when part machine operation sequence is taken into account. The latter feature incorporates a key set of constraints which identify the number of times a part travels back to a cell for a later machine operation. Due to two main drawbacks of IP modelling for cell formation, i.e. (a) only one objective function can be involved and (b) the decision maker is required to specify precisely goals and constraints, fuzzy elements like fuzzy constraints and fuzzy goals will be considered in the proposed model. Overall the paper will not only include an extended and enhanced integer programming model for assessing the performance of cell formation, but also perform a rigorous study of fuzzy integer programming and demonstrate the feasibility of achieving better and faster clustering results using fuzzy theory.

History

School

  • Business and Economics

Department

  • Business

Published in

ANNALS OF OPERATIONS RESEARCH

Volume

166

Issue

1

Pages

163 - 181 (19)

Citation

PAPAIOANNOU, G. and WILSON, J.M., 2009. Fuzzy extensions to Integer Programming models of cell-formation problems in machine scheduling. Annals of Operations Research, 166 (1), pp. 163 - 181.

Publisher

© Springer Science+Business Media

Version

AM (Accepted Manuscript)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

Publication date

2009

Notes

This article is published in the journal, Annals of Operations Research [© Springer Science+Business Media]. The final publication is available at Springer via http://dx.doi.org/10.1007/s10479-008-0423-1

ISSN

0254-5330

Language

en

Location

Madrid, SPAIN