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Fuzzy inventory model for deteriorating items with permissible delay in payment. (English) Zbl 1120.90301

Summary: We extend the model of A. M. M. Jamal, B. R. Sarker and S. Wang [J. Oper. Res. Soc. 48, No. 8, 826–833 (1997; Zbl 0890.90049)] by fuzzifying the carrying cost rate, interest paid rate and interest earned rate simultaneously, based on the interval-valued fuzzy numbers and triangular fuzzy number to fit the real world. We then prove that the estimate of total variable cost per unit time in the fuzzy sense is a strictly pseudo-convex function. As a result, there exists a unique optimal solution to our proposed model. Moreover, we apply the Jamal et al. example to show the results and to compare with the Jamal et al. model.

MSC:

90B05 Inventory, storage, reservoirs
03E72 Theory of fuzzy sets, etc.

Citations:

Zbl 0890.90049
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References:

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