Product mix problems considering several probabilistic conditions and flexibility of constraints

Takashi Hasuike*, Hiroaki Ishii

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

24 Citations (Scopus)


This paper considers product mix problems including randomness of future returns, ambiguity of coefficients and flexibility of upper value with respect to each constraint such as budget, human resource, time and several costs. Particularly, the flexibility is assumed to be a fuzzy goal. Then, several models based on maximizing total future profits under a level of satisfaction to each fuzzy goal are proposed. Furthermore, the model considering preference ranking to each fuzzy goal of constraints is proposed. Since these problems are basically formulated as nonlinear programming problems, the transformations into deterministic equivalent problems are introduced and the efficient solution methods are developed. A numerical example for product mix problem is given to illustrate our proposed models.

Original languageEnglish
Pages (from-to)918-936
Number of pages19
JournalComputers and Industrial Engineering
Issue number3
Publication statusPublished - 2009 Apr 1
Externally publishedYes


  • Chance-constrained programming
  • Multi-objective fuzzy programming
  • Probability maximization model
  • Product mix problems

ASJC Scopus subject areas

  • Computer Science(all)
  • Engineering(all)


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