Four inventory models for deteriorating items with time varying demand and partial backlogging: A cost comparison

In this paper we present four inventory control models under the following assumptions. Planning horizon is finite and demand is a general logconcave function of time. The models allow for deterioration of items over time and shortages partially backlogged at an exponential rate. For each of the models we establish the existence of a unique optimal policy. We then compute their optimal costs and rank them according to cost performance. This ranking indicates that model four gives the lowest cost. Numerical examples are given to support the theoretical findings and explain the application of procedures. Copyright © 2003 John Wiley & Sons, Ltd.

[1]  Suresh Kumar Goyal A Heuristic for Replenishment of Trended Inventories Considering Shortages , 1988 .

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

[3]  Maw-Sheng Chern,et al.  An optimal recursive method for various inventory replenishment models with increasing demand and shortages , 1997 .

[4]  K. Chaudhuri,et al.  A Note on the Heuristic for Replenishment of Trended Inventories Considering Shortages , 1987 .

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

[6]  Jinn-Tsair Teng,et al.  An optimal replenishment policy for deteriorating items with time-varying demand and partial backlogging , 2002, Oper. Res. Lett..

[7]  Maw-Sheng Chern,et al.  Deterministic lot-size inventory models with shortages and deterioration for fluctuating demand , 1999, Oper. Res. Lett..

[8]  Chung-Yuan Dye,et al.  An EOQ model for deteriorating items with time varying demand and partial backlogging , 1999, J. Oper. Res. Soc..

[9]  L. Benkherouf,et al.  On an Inventory Model for Deteriorating Items With Increasing Time-varying Demand and Shortages , 1996 .

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

[11]  Upendra Dave On a Heuristic Inventory-replenishment Rule for Items with a Linearly Increasing Demand Incorporating Shortages , 1989 .

[12]  P. Abad Optimal pricing and lot-sizing under conditions of perishability and partial backordering , 1996 .

[13]  B. C. Giri,et al.  Note on “An Optimal Recursive Method for Various Inventory Replenishment Models with Increasing Demand and Shortages” by Teng et al. , 2000 .

[14]  T. M. Murdeshwar Inventory Replenishment Policy for Linearly Increasing Demand Considering Shortages-An Optimal Solution , 1988 .

[15]  K. Skouri,et al.  A continuous review inventory model, with deteriorating items, time-varying demand, linear replenishment cost, partially time-varying backlogging , 2002 .

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

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

[18]  Moncer Hariga,et al.  The Inventory Lot-Sizing Problem with Continuous Time-Varying Demand and Shortages , 1994 .

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

[20]  H. Wee Deteriorating inventory model with quantity discount, pricing and partial backordering , 1999 .

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

[22]  Asoke Kumar Bhunia,et al.  An inventory model of deteriorating items with lot-size dependent replenishment cost and a linear trend in demand , 1999 .

[23]  A. Goswami,et al.  Variations of order-level inventory models for deteriorating items , 1992 .

[24]  L. Benkherouf On an inventory model with deteriorating items and decreasing time-varying demand and shortages , 1995 .

[25]  S. K. Goyal,et al.  Recent trends in modeling of deteriorating inventory , 2001, Eur. J. Oper. Res..

[26]  Hui-Ming Wee,et al.  Exponentially decaying inventory with partial back‐ordering , 1999 .

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

[28]  Konstantina Skouri,et al.  An optimal replenishment policy for deteriorating items with time-varying demand and partial-exponential type - backlogging , 2000, Oper. Res. Lett..

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