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2014 | 37 | 1 | 89-105

Article title

Optimizing Firm Inventory Costs as a Fuzzy Problem

Title variants

Languages of publication

EN

Abstracts

EN
The fixed order quantity model of inventory management system is used in the deterministic part. Several elements of inventory cost, such as ordering cost, transportation and storing costs, frozen capital cost, as well as extra rebates, are taken into account in the model. Then the fuzzy optimization problem for the total cost function is formulated within the space of Ordered Fuzzy Numbers when all variables of the model are fuzzy. After the choice of a particular defuzzification functional an appropriate theorem is formulated which gives the solution of the problem.

Publisher

Year

Volume

37

Issue

1

Pages

89-105

Physical description

Dates

online
2014-08-08

Contributors

  • Faculty of Computer Science, Bialystok University of Technology, Poland

References

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  • Chwastyk A., Kosiński W. (2013). Fuzzy calculus with applications, Mathematica Applicanda, 41(1), pp. 47–96.
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  • Kosiński W., Prokopowicz P. Ślęzak D. (2002). Fuzzy numbers with algebraic operations: algorithmic approach. In Klopotek M., Wierzchoń S.T., Michalewicz M. (Eds.), Proc. IIS'2002, Sopot, June 3–6, Poland, Heidelberg: Physica Verlag, pp. 311–320.
  • Kosiński W., Prokopowicz P., Ślęzak D. (2003). Ordered fuzzy numbers. Bulletin of the Polish Academy of Sciences, 51(3), pp. 327–338.
  • Kosiński W. (2006). On fuzzy number calculus. Int. J. Appl. Math. Comput. Sci., 16(1), pp. 51–57.
  • Kosiński W.K., Kosiński W., Kościeński K. (2013). Ordered Fuzzy Numbers approach to an investment project evaluation. Management and Production Engineering Review, 4(2), pp. 50–62.
  • Kuchta D. (2001). Miękka matematyka w zarządzaniu. Zastosowanie liczb przedziałowych i rozmytych w rachunkowości zarządczej. Wrocław: Oficyna Wydawnicza Politechniki Wrocławskiej.
  • Nguyen H.T. (1978). A note on the extension principle for fuzzy sets. J. Math. Anal. Appl. 64, 369–380.
  • Vujošević M., Petrović D., Petrović R. (1996). EOQ formula when inventory cost is fuzzy. Int. J. Production Economics, 45, pp. 499–504.

Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.doi-10_2478_slgr-2014-0019
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