Inventory models with ramp type demand rate, partial backlogging and Weibull deterioration rate

In this paper, an inventory model with general ramp type demand rate, time dependent (Weibull) deterioration rate and partial backlogging of unsatisfied demand is considered. The model is studied under the following different replenishment policies: (a) starting with no shortages and (b) starting with shortages. The model is fairly general as the demand rate, up to the time point of its stabilization, is a general function of time. The backlogging rate is any non-increasing function of the waiting time up to the next replenishment. The optimal replenishment policy for the model is derived for both the above mentioned policies.

[1]  Chin-Hsiung Lin,et al.  An EOQ inventory model with ramp type demand rate for items with Weibull deterioration , 1999 .

[2]  Peter Chu,et al.  A note on the inventory models for deteriorating items with ramp type demand rate , 2007, Eur. J. Oper. Res..

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

[4]  Maw-Sheng Chern,et al.  Deterministic inventory lot-size models under inflation with shortages and deterioration for fluctuating demand , 2001 .

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

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

[7]  S. Papachristos,et al.  Four inventory models for deteriorating items with time varying demand and partial backlogging: A cost comparison , 2003 .

[8]  Suresh Kumar Goyal,et al.  Economic ordering policy for deteriorating items over an infinite time horizon , 1987 .

[9]  Kun-Shan Wu.  An EOQ inventory model for items with Weibull distribution deterioration, ramp type demand rate and partial backlogging , 2001 .

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

[11]  D. Montgomery,et al.  INVENTORY MODELS WITH A MIXTURE OF BACKORDERS AND LOST SALES. , 1973 .

[12]  Luis A. San-José,et al.  An inventory System with Partial backlogging Modeled According to a Linear Function , 2005, Asia Pac. J. Oper. Res..

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

[14]  Juan García-Laguna,et al.  Analysis of an inventory system with exponential partial backordering , 2006 .

[15]  R. Hill.  Inventory Models for Increasing Demand Followed by Level Demand , 1995 .

[16]  Fred Raafat,et al.  Survey of Literature on Continuously Deteriorating Inventory Models , 1991 .

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

[18]  George C. Philip,et al.  An EOQ Model for Items with Weibull Distribution Deterioration , 1973 .

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

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

[21]  K. S. Chaudhuri,et al.  Economic Order Quantity model with Weibull deterioration distribution, shortage and ramp-type demand , 2003, Int. J. Syst. Sci..

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

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

[24]  Sheng-Pen Wang,et al.  An inventory replenishment policy for deteriorating items with shortages and partial backlogging , 2002, Comput. Oper. Res..

[25]  Kyung S. Park,et al.  Inventory model with partial backorders , 1982 .

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

[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]  David Rosenberg,et al.  A new analysis of a lot‐size model with partial backlogging , 1979 .

[30]  A. K. Pal,et al.  Order level inventory system with ramp type demand rate for deteriorating items , 1998 .

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