A new order splitting model with stochastic lead times for deterioration items

References

• Abad, P.L. (2003), ‘Optimal Pricing and Lot-Sizing Under Conditions of Perishability, Finite Production and Partial Backordering and Lost Sale’, European Journal of Operational Research, 144, 677–685.
   Web of Science ®Google Scholar
• Abginehchi, S., and Farahani, R.Z. (2010), ‘Modeling and Analysis for Determining Optimal Suppliers Under Stochastic Lead Times’, Applied Mathematical Modelling, 34, 1311–1328.
   Web of Science ®Google Scholar
• Abginehchi, S., Farahani, R.Z., and Rezapour, S. (in press), ‘A Mathematical Model for Order Splitting in a Multiple Supplier Single-Item Inventory System’, Journal of Manufacturing Systems.
   Web of Science ®Google Scholar
• Baboli, A., Fondrevelle, J., Tavakkoli-Moghaddam, R., and Mehrabi, A. (2011), ‘A Replenishment Policy Based on Joint Optimization in a Downstream Pharmaceutical Supply Chain: Centralized vs. Decentralized Replenishment’, International Journal of Advanced Manufacturing Technology, 57, 367–378.
   Web of Science ®Google Scholar
• Burke, G.J., Carrillo, J.E., and Vakharia, A.J. (2007), ‘Single Versus Multiple Supplier Sourcing Strategies’, European Journal of Operational Research, 182, 95–112.
   Web of Science ®Google Scholar
• Chiang, C. (2001), ‘Order Splitting Under Periodic Review Inventory System’, International Journal of Production Economics, 70, 67–76.
   Web of Science ®Google Scholar
• Chiang, C. (2003), ‘Optimal Replenishment for a Periodic Review Inventory System With Two Supply Modes’, European Journal of Operational Research, 149, 229–244.
   Web of Science ®Google Scholar
• Chiang, C., and Benton, W.C. (1994), ‘Sole Sourcing Versus Dual Sourcing Under Stochastic Demands and Lead Times’, Naval Research Logistics, 41, 609–624.
   Web of Science ®Google Scholar
• Chiang, C., and Chiang, W.C. (1996), ‘Reducing Inventory Costs by Order Splitting in the Sole Sourcing Environment’, Journal of the Operational Research Society, 47, 446–456.
   Web of Science ®Google Scholar
• Chiang, C., and Gutierrez, J.G. (1996), ‘A Periodic Review Inventory System With Two Supply Modes’, European Journal of Operational Research, 94, 527–547.
   Web of Science ®Google Scholar
• Covert, R.P., and Philip, G.C. (1973), ‘An EOQ Model for Items with Weibull Distribution Deterioration’, AIIE Transactions, 5, 323–326.
   Google Scholar
• Deng, P.S. (2005), ‘Improved Inventory Models With Ramp Type Demand and Weibull Deterioration’, International Journal of Information and Management Science, 16, 79–86
   Google Scholar
• Dullaert, W., Maes, B., Vernimmen, B., and Witlox, F. (2005), ‘An Evolutionary Algorithm for Order Splitting With Multiple Transport Alternatives’, Expert Systems with Applications, 28, 201–208.
   Web of Science ®Google Scholar
• Ganeshan, R., Tyworth, J.E., and Guo, Y. (1999), ‘Dual-Sourced Supply Chains: The Discount Supplier Option’, Transportation Research Part E, 35, 11–23.
   Google Scholar
• Ghare, P.M., and Schrader, G.F. (1963), ‘A Model for Exponentially Decaying Inventories’, Journal of Industrial Engineering, 14, 238–243.
   Google Scholar
• Giri, B.C., and Chaudhuri, K.S. (1998), ‘Deterministic Models of Perishable Inventory With Stock-dependent Demand Rate and Nonlinear Holding Cost’, European Journal of Operational Research, 105, 467–474.
   Web of Science ®Google Scholar
• Giri, B.C., Jalan, K., and Chaudhuric, K.S. (2003), ‘Economic Order Quantity Model With Weibull Deterioration Distribution, Shortage and Ramp-Type Demand’, International Journal of Systems Science, 34, 237–243.
   Web of Science ®Google Scholar
• Glock, H.C., and Ries, M.J. (2013), ‘Reducing Lead Time Risk Through Multiple Sourcing: The Case of Stochastic Demand and Variable Lead Time’, International Journal of Production Research. 51, 43–56.
   Web of Science ®Google Scholar
• Goh, M. (1994), ‘EOQ Models With General Demand and Holding Cost Functions’, European Journal of Operational Research, 73, 50–54.
   Web of Science ®Google Scholar
• Goyal, S.K., and Giri, B.C. (2001), ‘Recent Trends in Modeling of Deteriorating Inventory’, European Journal of Operational Research, 134, 1–16.
   Web of Science ®Google Scholar
• Goyal, S.K., and Giri, B.C. (2003), ‘The Production-Inventory Problem of a Product With Time Varying Demand, Production and Deterioration Rates’, European Journal of Operational Research, 147, 549–557.
   Web of Science ®Google Scholar
• Huang, J.-Y., and Yao, M.-J. (2006), ‘A New Algorithm for Optimally Determining Lot-Sizing Policies for a Deteriorating Item in an Integrated Production-Inventory System’, Computers and Mathematics with Applications, 51, 83–104.
   Web of Science ®Google Scholar
• Iakovou, E., Vlachos D., and Xanthopoulos A. (2010), ‘A Stochastic Inventory Management Model for a Dual Sourcing Supply Chain With Disruptions’, International Journal of Systems Science, 41, 315–324.
   Web of Science ®Google Scholar
• Kang, S., and Kim I.-T. (1983), ‘Study on the Price and Production Level of the Deteriorating Inventory System’, International Journal of Production Research, 2, 899–908.
   Web of Science ®Google Scholar
• Lao, H.S., and Zhao, L.G. (1994), ‘Dual Sourcing Cost-Optimization With Unrestricted Lead-Time Distributions and Order-Split Proportions’, IIE Transactions, 26, 66–75.
   Web of Science ®Google Scholar
• Lin, Y., and Lin Ch. (2006), ‘Purchasing Model for Deteriorating Items With Time Varying Demand Under Inflation and Time Discounting’, International Journal of Advanced Manufacturing Technology, 27, 816–823.
   Web of Science ®Google Scholar
• Manna, S.K., and Chaudhuri K.S. (2001), ‘An Economic Order Quantity Model for Deteriorating Items With Time-Dependent Deterioration Rate, Demand Rate, Unit Production Cost and Shortages’, International Journal of Systems Science, 32, 1003–1009.
   Web of Science ®Google Scholar
• Mohebbi, E., and Posner, M.J.M. (1998), ‘Sole Versus Dual Sourcing in a Continuous-Review Inventory System With Lost Sales’, Computers in Industrial Engineering, 34, 321–336.
   Web of Science ®Google Scholar
• Mohebbi, E., and Posner, M.J.M. (2002), ‘Multiple Replenishment Orders in a Continuous-Review Inventory System With Lost Sales’, Operations Research Letters, 30, 117–129.
   Web of Science ®Google Scholar
• Ramasesh, R.V., Ord, J.K., and Hayya, C. (1993), ‘Note: Dual Sourcing With Non identical suppliers’, Naval Research Logistics, 40, 279–288.
   Web of Science ®Google Scholar
• Ramasesh, R.V., Ord, J.K., Hayya, C., and Pan, A. (1991), ‘Sole Versus Dual Sourcing in Stochastic Lead-Ttimes (S, Q) Inventory Models’, Management Science, 37, 428–443.
   Web of Science ®Google Scholar
• Ross, S.M. (1996), Stochastic Processes, New York: Wiley.
   Google Scholar
• Ryu, S.W., and Lee, K.K. (2003), ‘A Stochastic Inventory Model of Dual-Sourced Supply Chain With Lead-Time Reduction’, International Journal of Production Economics, 81–82, 513–527.
   Web of Science ®Google Scholar
• Sajadieh, M.S., and Eshghi, K. (2009), ‘Sole Versus Dual Sourcing Under Order Dependent Lead Times and Prices’, Computers and Operations Research, 36, 3272–3280.
   Web of Science ®Google Scholar
• Sazvar, Z., Baboli, A., and Akbarijokar, M.R. (in press), ‘A Replenishment Policy for Perishable Products With Non-Linear Holding Cost Under Stochastic Supply Lead Time’, International Journal of Advanced Manufacturing Technology.
   Web of Science ®Google Scholar
• Sculli, D., and Wu, S.Y. (1981), ‘Stock Control With Two Suppliers and Normal Lead Times’, Journal of the Operational Research Society, 32, 1003–1009.
   Web of Science ®Google Scholar
• Sedarage, D., Fujiwara, O., and Luong, H.T. (1999), ‘Determining Optimal Order Splitting and Reorder Levels for n-Supplier Inventory Systems’, European Journal of Operational Research, 116, 389–404.
   Web of Science ®Google Scholar
• Shen, D., Lai, K.K., Leung, S.C., and Liang, L. (2011). ‘Modelling and analysis of inventory replenishment for perishable agricultural products with buyer–seller collaboration’, International Journal of Systems Science, 42(7), 1207–1217.
   Web of Science ®Google Scholar
• Tang, O., and Grubbstrom, W.R. (2005), ‘Considering Stochastic Lead Times in a Manufacturing/Remanufacturing System With Deterministic Demands and Returns’, International Journal of Production Economics, 93–94, 285–300.
   Google Scholar
• Thomas, D.J., and Tyworth, J.E. (2006), ‘Pooling Lead-Time Risk by Order Splitting: A Critical Review’, Transportation Research Part E, 42, 245–257.
   Google Scholar
• Treleven, M., and Schweikhart, S.B. (1988), ‘A Risk/Benefit Analysis of Sourcing Strategies: Single vs. Multiple Sourcing’, Journal of Operations Management, 7, 93–114.
   Google Scholar
• Tsai, D.-M. (2011), ‘An Optimal Production and Shipment Policy for a Single-Vendor Single-Buyer Integrated System With Both Learning Effect and Deteriorating Items’, International Journal of Production Research, 49, 903–922.
   Web of Science ®Google Scholar
• Tyworth, J.E., and Ruiz-Torres, A. (2000), ‘Transportations Role in the Sole Versus Dual-Sourcing Decisions’, International Journal of Physical Distribution and Logistics Management, 30, 128–136.
   Google Scholar
• Urban, T.L. (2008), ‘An Extension of Inventory Models With Discretely Variable Holding Costs’, International Journal of Production Economics, 114, 399–403.
   Web of Science ®Google Scholar
• Valliathal, M., and Uthayakumar, R. (2011), ‘Optimal Pricing and Replenishment Policies of an EOQ Model for Non-Instantaneous Deteriorating Items With Shortages’, International Journal of Advanced Manufacturing Technology, 54, 361–371.
   Web of Science ®Google Scholar
• Wang, K.J., Lin, Y.S., and Yu, C.P.J. (2011), ‘Optimizing Inventory Policy for Products With Time Sensitive Deteriorating Rates in a Multi-Echelon Supply Chain’, International Journal of Production Economics, 130, 66–76.
   Web of Science ®Google Scholar
• Wang, T.-Y., and Chen, L.-H. (2001), ‘A Production Lot Size Inventory Model for Deteriorating Items With Time-Varying Demand’, International Journal of Systems Science, 32, 745–751.
   Web of Science ®Google Scholar
• Wee, H.-M., and Chung, C.-J. (2009), ‘Optimising Replenishment Policy for an Integrated Production Inventory Deteriorating Model Considering Green Component Value’, International Journal of Production Research, 47, 1343–1368.
   Web of Science ®Google Scholar
• Weiss, H.J. (1982), ‘Economic Order Quantity Models With Nonlinear Holding Costs’, European Journal of Operational Research, 9, 56–60.
   Web of Science ®Google Scholar
• Wu, K.S. (2002), ‘EOQ Inventory Model for Items With Weibull Distribution Deterioration, Time-Varying Demand and Partial Backlogging’, International Journal of Systems Science, 33, 323–329.
   Web of Science ®Google Scholar
• Wu, K.S., Ouyang, L.Y., and Yang, C.T. (2006), ‘An Optimal Replenishment Policy for Non Instantaneous Deteriorating Items With Stock-Dependent Demand and Partial Backlogging’, International Journal of Production Economics, 101, 369–384.
   Web of Science ®Google Scholar
• Zhou, Y.W., and Lau, H.S. (2000), ‘An Economic Lot-Size Model for Deteriorating Items With Lot Size Dependent Replenishment Cost and Time-Varying Demand’, Applied Mathematical Modelling, 24, 761–770.
   Web of Science ®Google Scholar