A fully fuzzified, intelligent theory-of-constraints product-mix decision

Arijit Bhattacharya, Pandian Vasant, Bijan Sarkar, Sanat Kumar Mukherjee

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36 Citations (Scopus)


The present research work outlines a fuzzified approach using fuzzy linear programming (FLP) using a suitably designed smooth logistic membership function (MF) for finding fuzziness patterns at disparate levels of satisfaction for theory of constraints-based (TOC) product-mix decision problems. The objective of the present work is to find fuzziness patterns of product-mix decisions with disparate levels of satisfaction of the decision-maker (DM). Another objective is to provide a robust, quantified monitor of the level of satisfaction among DMs and to calibrate these levels of satisfaction against DM expectations. Product-mix decision should take into account considerations such as the DM's level of satisfaction (sometimes called 'emotions') in order to make the decision a robust one. Sensitivity of the decision has been focused on a bottleneck-free, optimal product-mix solution of a TOC problem. The inefficiency of traditional linear programming (LP) in handling multiple-bottleneck problems using TOC is discussed using an illustrative example. Relationships among the degree of fuzziness, level of satisfaction and the throughput of modified TOC guide decision-makers (DM) under tripartite fuzzy environment in obtaining their product-mix choice trading-off with a pre-determined allowable fuzziness.

Original languageEnglish
Pages (from-to)789-815
Number of pages27
JournalInternational Journal of Production Research
Issue number3
Publication statusPublished - 1 Feb 2008
Externally publishedYes


  • Degree of fuzziness
  • Fuzzified linear programming
  • Intelligent decision
  • Level of satisfaction
  • TOC

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