An inventory model for deteriorating items with price dependent demand and time-varying holding cost

In this paper a deterministic inventory model is developed when the deterioration rate is time proportional. Demand rate is a function of selling price and holding cost is time dependent. The model is first solved allowing shortage in inventory. The case of noshortage is discussed next. The results are illustrated with the help of numerical example. The sensitivity of the solution with the changes of the values of the parameters associated with the model is discussed.

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

[2]  Manoranjan Maiti,et al.  An inventory system of ameliorating items for price dependent demand rate , 2003, Comput. Ind. Eng..

[3]  Kun-Jen Chung,et al.  A Heuristic for Replenishment of Deteriorating Items with a Linear Trend in Demand , 1993 .

[4]  Lakdere Benkherouf,et al.  Optimal and heuristic inventory replenishment models for deteriorating items with exponential time-varying demand , 1994 .

[5]  K. S. Chaudhuri,et al.  Structural properties of an inventory system with deterioration and trended demand , 1999, Int. J. Syst. Sci..

[6]  T. H. Burwell,et al.  Economic lot size model for price-dependent demand under quantity and freight discounts , 1997 .

[7]  Okitsugu Fujiwara,et al.  EOQ models for continuously deteriorating products using linear and exponential penalty costs , 1993 .

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

[9]  Philip M. Wolfe,et al.  An inventory model for deteriorating items , 1991 .

[10]  M. Hariga.  Optimal EOQ Models for Deteriorating Items with Time-Varying Demand , 1996 .

[11]  Hui-Ming Wee,et al.  A deterministic lot-size inventory model for deteriorating items with shortages and a declining market , 1995, Comput. Oper. Res..

[12]  H. Weiss.  Economic order quantity models with nonlinear holding costs , 1982 .

[13]  R. Misra,et al.  Optimum production lot size model for a system with deteriorating inventory , 1975 .

[14]  A. Muhlemann,et al.  A variable holding cost rate EOQ model , 1980 .

[15]  Zhao Pei-xin,et al.  An EOQ Model for Items with Weibull Distribution Deterioration , 2007, 2007 2nd IEEE Conference on Industrial Electronics and Applications.

[16]  K. Chaudhuri,et al.  An EOQ model for deteriorating items with a linear trend in demand and shortages in all cycles , 1997 .

[17]  K. S. Chaudhuri,et al.  Heuristic models for deteriorating items with shortages and time-varying demand and costs , 1997, Int. J. Syst. Sci..

[18]  K. S. Chaudhuri,et al.  EOQ model for items with Weibull distribution deterioration, shortages and trended demand , 1996, Int. J. Syst. Sci..

[19]  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..

[20]  M. Goh.  EOQ models with general demand and holding cost functions , 1994 .

[21]  B. van der Veen,et al.  Introduction to the Theory of Operational Research , 1967 .