The Effect of Credit Period on the Optimal lot Size for deteriorating items with Time varying Demand and deterioration Rates

In this paper, we present an inventory model for deteriorating items with time varying demand and deterioration rates when the credit period depends on the retailer's ordering quantity. We also provide simple solution procedures for finding the optimal replenishment period and show in a rigorous way that the policy suggested is indeed optimal. Further, we use numerical examples to illustrate the model and conclude the paper with suggestions for possible future research.

[1]  Horng-Jinh Chang,et al.  An inventory model for deteriorating items with partial backlogging and permissible delay in payments , 2001, Int. J. Syst. Sci..

[2]  Peter Chu,et al.  Economic order quantity of deteriorating items under permissible delay in payments , 1998, Comput. Oper. Res..

[3]  B. Sarker,et al.  An ordering policy for deteriorating items with allowable shortage and permissible delay in payment , 1997 .

[4]  Shaojun Wang,et al.  Supply chain models for perishable products under inflation and permissible delay in payment , 2000, Comput. Oper. Res..

[5]  Horng-Jinh Chang,et al.  A finite time horizon inventory model with deterioration and time-value of money under the conditions of permissible delay in payments , 2002, Int. J. Syst. Sci..

[6]  W. A. Donaldson Inventory Replenishment Policy for a Linear Trend in Demand An Analytical Solution , 1977 .

[7]  K. S. Chaudhuri,et al.  An EOQ model for items with weibull distribution deterioration, shortages and trended demand: an extension of philip's model , 1998, Comput. Oper. Res..

[8]  Pandu R. Tadikamalla An EOQ inventory model for items with gamma distributed deterioration , 1978 .

[9]  A. Mehrez,et al.  Optimal inventory policy under different supplier credit policies , 1996 .

[10]  Kee H. Chung Inventory Control and Trade Credit Revisited , 1989 .

[11]  George C. Philip,et al.  A Generalized EOQ Model for Items with Weibull Distribution Deterioration , 1974 .

[12]  Hark Hwang,et al.  Retailer's pricing and lot sizing policy for exponentially deteriorating products under the condition of permissible delay in payments , 1997, Comput. Oper. Res..

[13]  A. Goswami,et al.  An EOQ Model for Deteriorating Items with Shortages and a Linear Trend in Demand , 1991 .

[14]  S. Aggarwal,et al.  Ordering Policies of Deteriorating Items under Permissible Delay in Payments , 1995 .

[15]  Lineu C. Barbosa,et al.  On a General Solution of the Deterministic Lot Size Problem with Time-Proportional Demand , 1976, Oper. Res..

[16]  Hark Hwang,et al.  Joint price and lot size determination under conditions of permissible delay in payments and quantity discounts for freight cost , 1996 .

[17]  R. S. Sachan On (T, Si) Policy Inventory Model for Deteriorating Items with Time Proportional Demand , 1984 .

[18]  S. Goyal Economic Order Quantity under Conditions of Permissible Delay in Payments , 1985 .

[19]  U. Dave,et al.  (T, Si) Policy Inventory Model for Deteriorating Items with Time Proportional Demand , 1981 .

[20]  S. Goyal,et al.  The Finite Horizon Trended Inventory Replenishment Problem With Shortages , 1992 .

[21]  K. S. Chaudhuri,et al.  A note on an order-level inventory model for a deteriorating item with time-dependent quadratic demand , 2003, Comput. Oper. Res..