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A theorem on the determination of economic order quantity under conditions of permissible delay in payments. (English) Zbl 0906.90051

Summary: This article discusses the economic quantity under conditions of permissible delay in payments. First, this article shows that the total annual variable cost function is convex. Second, with convexity, a theorem is developed to determine the economic order quantity. The theorem also reveals that the economic order quantity under conditions of permissible delay in payments is generally higher than the economic order quantity given by the classical economic order quantity model. Numerical examples are given to illustrate the theorem.

MSC:

90B05 Inventory, storage, reservoirs
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[1] Aggarwal, S. P.; Jaggi, C. K.: Ordering policies of deteriorating items under permissible delay in payments. Journal of operational research society 46, 458-662 (1995) · Zbl 0830.90032
[2] Bregman, R. L.: The effect of extended payment terms on purchasing decisions. Computers in industry 22, 311-318 (1993)
[3] Chand, S.; Ward, J.: A note on economic order quantity under conditions of permissible delay in payments. Journal of operational research society 38, 83-84 (1987) · Zbl 0606.90038
[4] Chapman, C. B.; Ward, S. C.: Inventory control and trade credit–a further reply. Journal of operational research society 39, 219-220 (1988)
[5] Chapman, C. B.; Ward, S. C.; Cooper, D. F.; Page, M. J.: Credit policy and inventory control. Journal of operational research society 35, 1055-1065 (1985)
[6] Chung, K. H.: Inventory control and trade credit revisited. Journal of operational research society 40, 495-498 (1989) · Zbl 0665.90021
[7] Daellenbach, H. G.: Inventory control and trade credit. Journal of operational research society 37, 525-528 (1986)
[8] Daellenbach, H. G.: Inventory control and trade credit–a rejoinder. Journal of operational research society 39, 218-219 (1988)
[9] Davis, R. A.; Gaither, N.: Optimal ordering policies under conditions of extended payment privileges. Management science 31, 499-509 (1985) · Zbl 0609.90028
[10] Goyal, S. K.: Economic order quantity under conditions of permissible delay in payments. Journal of operational research society 36, 335-338 (1985) · Zbl 0568.90025
[11] Haley, C. W.; Higgins, R. C.: Inventory policy and trade credit financing. Management science 20, 464-471 (1973) · Zbl 0303.90010
[12] Jaggi, C. K.; Aggarwal, S. P.: Credit financing in economic ordering policies of deteriorating items. International journal of production economics 34, 151-155 (1994)
[13] Khouja, M.; Mehrez, A.: Optimal inventory policy under different supplier credit policies. Journal of manufacturing systems 15, 334-339 (1996)
[14] Kingsman, B. G.: The effect of payment rules on ordering and stockholding in purchasing. Journal of operational research society 34, 1085-1098 (1983)
[15] Shah, N. H.: A lot-size model for exponentially decaying inventory when delay in payments is permissible. Cahiers du CERO 35, 115-123 (1993) · Zbl 0795.90009
[16] Shah, V. R.; Sreehari, M.: An inventory model for a system with multiple storage facilities and conditional credit facility. Opsearch 33, 96-106 (1996) · Zbl 0879.90074
[17] Ward, S. C.; Chapman, C. B.: Inventory control and trade credit–a reply to daellenbach. Journal of operational research society 38, 1081-1084 (1987)
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