Fuzzy Mathematical Programming Approaches to Design Cell Formation in Cellular Manufacturing Systems


  • Fairleigh Dickinson University, United States
  • Kansas State University, United States


Mathematical programming approaches based on fuzzy set theory are proposed for cell formation design in cellular manufacturing systems (CMS). The objective is to find part families and machine groups to minimize the fuzzy total production cost consisting of processing and maintenance costs subject to fuzzy machine time availability. Two cases are used to illustrate the applications. Results indicate that the cell formations obtained by the fuzzy approaches yield less total production costs compared to the non-fuzzy (crisp) approaches.


Fuzzy Mathematical Programming, Cell Formation, Cellular Manufacturing.

Subject Discipline

Mathematical Sciences

Full Text:


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