An optimal production-inventory model for deteriorating items with multiple-market demand

The global markets of today offer more selling opportunities to the deteriorating items' manufacturers, but also pose new challenges in production and inventory planning. From a production management standpoint, opportunities to exploit the difference in the timing of the selling season between geographically dispersed markets for deteriorating items are important to improving a firm's profitability. In this paper, we examined the above issue with an insightful production-inventory model of a deteriorating items manufacturer selling goods to multiple-markets with different selling seasons. We also provided a solution procedure to find the optimal replenishment schedule for raw materials and the optimal production plan for finished products. A numerical example was then used to illustrate the model and the solution procedure. Finally, sensitivity analysis of the optimal solution with respect to major parameters was carried out.

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

[2]  Lakdere Benkherouf,et al.  A production lot size inventory model for deteriorating items and arbitrary production and demand rates , 1996 .

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

[4]  Upendra Dave,et al.  On a Discrete-in-Time Order-Level Inventory Model for Deteriorating Items , 1979 .

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

[6]  Jinn-Tsair Teng,et al.  An economic order quantity model for deteriorating items with partially permissible delay in payments linked to order quantity , 2009, Eur. J. Oper. Res..

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

[8]  Hui-Ming Wee,et al.  Production , Manufacturing and Logistics A single-vendor and multiple-buyers production – inventory policy for a deteriorating item , 2002 .

[9]  P. Kouvelis,et al.  The Newsvendor Problem in a Global Market: Optimal Centralized and Decentralized Control Policies for a Two-Market Stochastic Inventory System , 1997 .

[10]  Moutaz Khouja,et al.  The effect of large order quantities on expected profit in the single-period model , 2001 .

[11]  Jinn-Tsair Teng,et al.  Partial backlogging inventory lot-size models for deteriorating items with fluctuating demand under inflation , 2008, Eur. J. Oper. Res..

[12]  Elsayed A. Elsayed,et al.  Analysis of inventory systems with deteriorating items , 1983 .

[13]  Manoranjan Maiti,et al.  A two warehouse inventory model for a deteriorating item with partially/fully backlogged shortage and fuzzy lead time , 2008, Eur. J. Oper. Res..

[14]  Kuo-Lung Hou,et al.  An inventory model for deteriorating items with stock-dependent consumption rate and shortages under inflation and time discounting , 2006, Eur. J. Oper. Res..

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

[16]  H. Wee,et al.  Integrated inventory model for deteriorating items under a multi-echelon supply chain environment , 2003 .

[17]  Jinn-Tsair Teng,et al.  Production, Manufacturing and Logistics Retailers optimal pricing and lot-sizing policies for deteriorating items with partial backlogging , 2004 .

[18]  Shu-Lu Hsu,et al.  A two-warehouse production model for deteriorating inventory items with time-dependent demands , 2009, Eur. J. Oper. Res..

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

[20]  K. S. Chaudhuri,et al.  Deterministic models of perishable inventory with stock-dependent demand rate and nonlinear holding cost , 1998, Eur. J. Oper. Res..

[21]  L. Ouyang,et al.  An optimal replenishment policy for non-instantaneous deteriorating items with stock-dependent demand and partial backlogging , 2006 .

[22]  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..

[23]  Hui-Ming Wee,et al.  Economic production lot size model for deteriorating items with partial back-ordering , 1993 .

[24]  Hui-Ming Wee,et al.  Erratum to "an integrated multi-lot-size production inventory model for deteriorating item" [Computer and Operation Research 30 (2003) 671-682] , 2006, Comput. Oper. Res..

[25]  A. Goswami,et al.  An inventory model for deteriorating items with stock-dependent demand rate , 1996 .

[26]  D. W. Kim,et al.  The Price and Production Level of the Deteriorating Inventory System. , 1983 .

[27]  Kun-Jen Chung,et al.  THE OPTIMAL ORDERING POLICY IN A DCF ANALYSIS FOR DETERIORATING ITEMS WHEN TRADE CREDIT DEPENDS ON THE ORDER QUANTITY , 2006 .

[28]  P. M. Ghare A model for an exponentially decaying inventory , 1963 .

[29]  H. Wee,et al.  Economic ordering policy of deteriorated item for vendor and buyer: An integrated approach , 2000 .

[30]  Hui-Ming Wee,et al.  Short life-cycle deteriorating product remanufacturing in a green supply chain inventory control system , 2011 .

[31]  Peter Chu,et al.  A note on EOQ models for deteriorating items under stock dependent selling rate , 2000, Eur. J. Oper. Res..

[32]  Shyamal Kumar Mondal,et al.  A Chebyshev approximation for solving the optimal production inventory problem of deteriorating multi-item , 2007, Math. Comput. Model..

[33]  Murray R. Spiegel,et al.  Applied Differential Equations , 1967 .

[34]  K. S. Chaudhuri,et al.  Production, Manufacturing and Logistics An EOQ model with ramp type demand rate, time dependent deterioration rate, unit production cost and shortages , 2006 .

[35]  Jui‐Jung Liao ON AN EPQ MODEL FOR DETERIORATING ITEMS UNDER PERMISSIBLE DELAY IN PAYMENTS , 2007 .

[36]  Po-Chung Yang,et al.  An integrated multi-lot-size production inventory model for deteriorating item , 2003, Comput. Oper. Res..