×
Chen, Liang-Ho; Ouyang, Liang-Yuh

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

Appl. Math. Comput. 182, No. 1, 711-726 (2006).
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.

Cited in 13 Documents

MSC:

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

Keywords:

fuzzy inventory; interval-valued fuzzy number; permissible delay in payment; signed distance; triangular fuzzy number

Citations:

Zbl 0890.90049
PDF BibTeX XML Cite
\textit{L.-H. Chen} and \textit{L.-Y. Ouyang}, Appl. Math. Comput. 182, No. 1, 711--726 (2006; Zbl 1120.90301)
Full Text: DOI

References:

[1] Aggarwal, S. P.; Jaggi, C. K., Ordering policies of deteriorating items under permissible delay in payments, Journal of the Operational Research Society, 46, 658-662 (1995) · Zbl 0830.90032
[2] Bazarra, M.; Sherali, H.; Shetty, C. M., Nonlinear Programming (1993), Wiley: Wiley New York
[3] Chang, H. C., An application of fuzzy sets theory to the EOQ model with imperfect quality items, Computers & Operations Research, 31, 2079-2092 (2004) · Zbl 1100.90500
[4] Chang, H. C.; Yao, J. S.; Ouyang, L. Y., Fuzzy mixture inventory model with variable lead-time based on probabilistic fuzzy set and triangular fuzzy number, Mathematical and Computer Modelling, 39, 287-304 (2004) · Zbl 1055.90008
[5] Chang, S., Fuzzy production inventory for fuzzy product quantity with triangular fuzzy number, Fuzzy Sets and Systems, 107, 37-57 (1999) · Zbl 0947.90003
[6] Das, K.; Roy, T. K.; Maiti, M., Multi-item stochastic and fuzzy-stochastic inventory models under two restrictions, Computers & Operations Research, 31, 1793-1806 (2004) · Zbl 1073.90006
[7] Gorzalczany, M. B., A method of inference in approximate reasoning based on interval-valued fuzzy set, Fuzzy Sets and Systems, 21, 1-17 (1987) · Zbl 0635.68103
[8] Ishii, H.; Konno, T., A stochastic inventory problem with fuzzy shortage cost, European Journal Operational Research, 106, 90-94 (1998)
[9] Jamal, A. M.M.; Sarker, B. R.; Wang, S., An ordering policy for deteriorating items with allowable shortage and permissible delay in payment, Journal of Operations Research Society, 48, 826-833 (1997) · Zbl 0890.90049
[10] Katagiri, H.; Ishii, H., Some inventory problems with fuzzy shortage cost, Fuzzy Sets and Systems, 111, 87-97 (2000) · Zbl 0949.90002
[11] Kaufmann, A.; Gupta, M. M., Introduction to Fuzzy Arithmetic: Theory and Applications (1991), Van Nostrand Reinhold: Van Nostrand Reinhold New York · Zbl 0754.26012
[12] Ouyang, L. Y.; Chang, H. C., The variable lead time stochastic inventory model with a fuzzy backorder rate, Journal of Operations Research Society of Japan, 44, 1 (2001)
[13] Ouyang, L. Y.; Wu, K. S., A minimax distribution free procedure for mixed inventory model with variable lead time, International Journal of Production Economics, 56-57, 511-516 (1998)
[14] Ouyang, L. Y.; Yao, J. S., A minimax distribution free procedure for mixed inventory model involving variable lead time with fuzzy demand, Computers & Operations Research, 29, 471-487 (2002) · Zbl 0995.90004
[15] Petrović, D.; Petrović, R.; Vujošević, M., Fuzzy models for the newsboy problem, International Journal of Production Economics, 45, 435-441 (1996)
[16] Pu, P. M.; Liu, Y. M., Fuzzy topology 1. Neighborhood structure of a fuzzy point and Moore-Smith convergence, Journal of Mathematical Analysis and Applications, 76, 571-599 (1980) · Zbl 0447.54006
[17] Vujošević, M.; Petrović, D.; Petrović, R., EOQ formula when inventory cost is fuzzy, International Journal of Production Economics, 45, 499-504 (1996)
[18] Yao, J. S.; Chang, S. C.; Su, J. S., Fuzzy inventory without backorder for fuzzy order quantity and fuzzy total demand quantity, Computers & Operations Research, 27, 935-962 (2000) · Zbl 0970.90010
[19] Yao, J. S.; Lee, H. M., Fuzzy inventory with backorder for fuzzy order quantity, Information Sciences, 93, 283-319 (1996) · Zbl 0884.90077
[20] Yao, J. S.; Su, J. S., Fuzzy inventory with backorder for fuzzy total demand based on interval-valued fuzzy set, European Journal of Operational Research, 124, 390-408 (2000) · Zbl 0978.90009
[21] Yao, J. S.; Wu, K., Ranking fuzzy numbers based on decomposition principle and signed distance, Fuzzy Sets and Systems, 116, 275-288 (2000) · Zbl 1179.62031
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.