Published February 28, 2007
| Version 15563
Journal article
Open
A Single-Period Inventory Problem with Resalable Returns: A Fuzzy Stochastic Approach
Creators
Description
In this paper, a single period inventory model with resalable returns has been analyzed in an imprecise and uncertain mixed environment. Demand has been introduced as a fuzzy random variable. In this model, a single order is placed before the start of the selling season. The customer, for a full refund, may return purchased products within a certain time interval. Returned products are resalable, provided they arrive back before the end of the selling season and are found to be undamaged. Products remaining at the end of the season are salvaged. All demands not met directly are lost. The probabilities that a sold product is returned and that a returned product is resalable, both imprecise in a real situation, have been assumed to be fuzzy in nature.
Files
15563.pdf
Files
(329.1 kB)
| Name | Size | Download all |
|---|---|---|
|
md5:9ba47ed6cef5f7e3ad124b3926f9c6b8
|
329.1 kB | Preview Download |
Additional details
References
- <p>
- D.Chakraborty., "Redefining chance-constrained programming in fuzzy environment", Fuzzy Sets and Systems vol. 125, no. 3, pp. 327-333.
- S H Chen, C H Hseih, "Graded Mean Integration Representation of Generalized Fuzzy Number", Journal of Chinese Fuzzy Systems Association vol. 5, pp. 1-7, 1999.
- S J Chen, S M Chen, "Fuzzy Risk Analysis Based on Similarity Measures of Generalized Fuzzy Numbers", IEEE Transactions on Fuzzy Systems vol. 11, pp. 45-56, 2003.
- D Dubois, H Prade, Fuzzy Sets and Systems, Theory and applications, Academic Press, 1980.
- P Dutta, D Chakraborty, A R Roy, "A Single-Period Inventory Model with Fuzzy Random Variable Demand", Mathematical and Computer Modeling vol. 41, pp. 915-922, 2005.
- M A Gil, M Lopez-Diaz, D A Ralescu, "Overview on the Development of Fuzzy Random Variables", Fuzzy Sets and Systems (Available online), 2006.
- M A Gil, M Lopez-Diaz, "The λ -average value of the expected value of a fuzzy Random Variable", Fuzzy Sets and Systems, vol. 99, pp. 347-391, 1998.
- H Ishii, T Konno, "A stochastic inventory problem with fuzzy shortage cost", European Journal of Operational Research, vol. 106, pp. 90-94, 1998.
- C Kao, W K Hsu, "A single period inventory model with fuzzy demand", Computers And Mathematics with Applications, vol. 43, pp. 841-848, 2002. [10] H Kwakernaak, "Fuzzy Random Variables: Definitions and Theorems", Information Sciences, vol. 15, pp. 1- 29, 1978. [11] L Li, S N Kabadi, K P K Nair, "Fuzzy models for single-period inventory problem", Fuzzy Sets and Systems, vol. 132, pp. 273-289, 2002. [12] M. K.Luhandjula, "Linear programming under randomness and fuzziness", Fuzzy Sets and Systems,vol.10,pp.45-55,1983. [13] J Mostard, R Teunter, "The newsboy problem with resalable returns: a single period model and case study", European Journal of Operational Research, vol. 169, pp. 81-96, 2006. [14] J Mostard, R Koster, R Teunter, "The distribution-free newsboy problem with resalable returns", International Journal of Production Economics, vol. 97, pp. 329-342, 2005. [15] M L Puri, D A Ralescu, "Fuzzy random variables",Journal of Mathematical Analysis and Applications, vol. 114, pp. 409-422, 1986. [16] D Vlachos, R Dekker, "Return handling options and order quantities for single period products", European Journal of Operational Research, vol. 151, pp. 38-52, 2003. [17] G Wang, Q Zhong, "Linear programming with fuzzy random variable coefficients", Fuzzy Sets and Systems, vol. 57, pp. 295-311, 1993. [18] G Wang, Q Zhong, "On solutions and distribution problems of the linear programming with fuzzy random variable coefficients", Fuzzy Sets and Systems, vol. 58, pp. 155-170, 1993. [19] G Wang, Y Zhang, "The theory of fuzzy stochastic processes", Fuzzy Sets and Systems, vol. 51, pp. 161-178,1992. [20] L. A. Zadeh, "Outline of a new approach to the analysis of complex systems and decision process", IEEE Transactions on Systems, Man and Cybernetics, vol. 3, pp. 28-44, 1973. [21] H J Zimmermann, Fuzzy Set Theory and its applications, Second Edition, Allied Publishers Limited, 1996. [22] H. J. Zimmermann, P Zysno, "Quantifying Vagueness in Decision Models", European Journal of Operational Research, vol. 22, pp. 148-158, 1985.</p>