Deteriorating inventory model with finite production rate and two-level of credit financing for stochastic demand

被引:8
作者
Shah N.H. [1 ]
Shah B.J. [2 ]
Shah A.D. [1 ]
机构
[1] Department of Mathematics, Gujarat University
[2] Visiting Faculty, IIM, Indore
关键词
Deterioration; Finite production; Inventory; Stochastic demand; Trade credit; Two-level credit financing;
D O I
10.1007/s12597-012-0112-3
中图分类号
学科分类号
摘要
An inventory model for deteriorating items with finite production rate and stochastic demand rate is developed when the supplier offers delay period to the retailer for due payment against purchases and the retailer in turn extends the trade credit offer to its customers. This policy of passing on of the credit period is well known as two-level of credit financing. Items in the system follow stochastic demand behavior that are produced with finite production rate and subjected to constant rate of deterioration. The model is developed with an objective to minimize total expected cost of retailer as it is assumed to be a dominant player in the supply chain. Necessary and sufficient conditions for existence and uniqueness of the optimal solution are obtained and established to minimize the retailer's total expected cost. Results obtained are validated with the help of numerical examples. Sensitivity analysis of various parameters is carried out to gain meaningful managerial insights. © 2012 Operational Research Society of India.
引用
收藏
页码:358 / 371
页数:13
相关论文
共 16 条
[1]  
Cardenas-Barron L.E., Optimal ordering policies in response to a discount offer: Extensions, Int. J. Prod. Econ., 122, 2, pp. 774-782, (2009)
[2]  
Cardenas-Barron L.E., Optimal ordering policies in response to a discount offer: Corrections, Int. J. Prod. Econ., 122, 2, pp. 783-789, (2009)
[3]  
Cardenas-Barron L.E., Smith N.R., Goyal S.K., Optimal order size to take advantage of a one-time discount offer with allowed backorders, Appl. Math. Model., 34, 6, pp. 1642-1652, (2010)
[4]  
Chung K.J., The inventory replenishment policy for deteriorating items under permissible delay in payments, Opsearch, 37, pp. 267-281, (2000)
[5]  
Chung K.J., Huang Y.F., Huang C.K., The replenishment decision for EOQ inventory model under permissible delay in payments, Opsearch, 39, pp. 327-340, (2002)
[6]  
De L.N., Goswami A., Probabilistic EOQ model for deteriorating items under trade credit financing, Int. J. Syst. Sci., 40, pp. 335-346, (2009)
[7]  
Goyal S.K., Economic order quantity under conditions of permissible delay in payments, J. Oper. Res. Soc., 36, pp. 335-338, (1985)
[8]  
Shah B.J., Shah N.H., Shah Y.K., An EOQ model for time dependent deterioration rate of items with a temporary price discount, Asia Pac. J. Oper. Res., 22, 4, pp. 479-485, (2005)
[9]  
Shah N.H., Probabilistic time scheduling model for exponentially decaying inventory when delay in payments is permissible, Int. J. Prod. Econ., 32, pp. 77-82, (1993)
[10]  
Shah N.H., Probabilistic order-level system with lead-time when delay in payments is permissible, TOP, 5, 2, pp. 297-305, (1997)