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Interactive fuzzy programming for two-level linear and linear fractional production and assignment problems: a case study. (English) Zbl 1077.90564
Summary: In this paper, we deal with actual problems on production and work force assignment in a housing material manufacturer and a subcontract firm. We formulate two kinds of two-level programming problems: one is a profit maximization problem of both the housing material manufacturer and the subcontract firm, and the other is a profitability maximization problem of them. Applying the interactive fuzzy programming for two-level linear and linear fractional programming problems, we derive satisfactory solutions to the problems. After comparing the two problems, we discuss the results of the applications and examine actual planning of the production and the work force assignment of the two firms to be implemented.
90C70Fuzzy programming
90C90Applications of mathematical programming
90C22Semidefinite programming