References
- Axsäter, S., J. Marklund, and E. A. Silver. 2002. “Heuristic Methods for Centralized Control of One-Warehouse, N-Retailer Inventory Systems.” Manufacturing & Service Operations Management 4 (1): 75–97. doi: https://doi.org/10.1287/msom.4.1.75.291
- Bollapragada, S., R. Akella, and R. Srinivasan. 1998. “Centralized Ordering and Allocation Policies in a Two-Echelon System with Non-Identical Warehouses.” European Journal of Operational Research 106: 74–81. doi: https://doi.org/10.1016/S0377-2217(97)00148-3
- Clark, A. J., and H. Scarf. 1960. “Optimal Policies for a Multi-Echelon Inventory Problem.” Management Science 6: 475–490. doi: https://doi.org/10.1287/mnsc.6.4.475
- Dai, B., H. X. Chen, Y. A. Li, Y. D. Zhang, X. Q. Wang, and Y. M. Deng. 2019. “Inventory Replenishment Planning in a Distribution System with Safety Stock Policy and Minimum and Maximum Joint Replenishment Quantity Constraints.” Proceedings of IESM2019, Shanghai, China, September 25–27, 824–830.
- Diks, E. B., and A. G. de Kok. 1996. “Controlling a Divergent 2-Echelon Network with Transshipments Using the Consistent Appropriate Share Rationing Policy.” International Journal of Production Economics 45 (1): 369–379. doi: https://doi.org/10.1016/0925-5273(95)00007-0
- Diks, E. B., and A. G. de Kok. 1998a. “Optimal Control of a Divergent Multi-Echelon Inventory System.” European Journal of Operational Research 111: 75–97. doi: https://doi.org/10.1016/S0377-2217(97)00327-5
- Diks, E. B., and A. G. de Kok. 1998b. “Transshipments in a Divergent 2-Echelon System.” In Advances in Distribution Logistics, edited by B. Fleischmann, J. A. E. E. van Nunen, M. G. Speranza, and P. Stähly, 423–447. Berlin: Springer-Verlag.
- Dogru, M. K. 2006. “Optimal Control of One-Warehouse Multi-Retailer Systems: An Assessment of the Balance Assumption.” Doctoral thesis, Technische Universiteit Eindhoven.
- Eppen, G., and L. Schrage. 1981. “Centralized Ordering Policies in a Multi-Warehouse System with Lead Times and Random Demand.” In Multi-Level Production/Inventory Control Systems: Theory and Practice, edited by L. B. Schwarz, 51–67, Amsterdam: North-Holland.
- Federgruen, A., and P. Zipkin. 1984a. “Allocation Policies and Cost Approximations for Multilocation Inventory Systems.” Naval Research Logistics Quarterly 31 (1): 97–129. doi: https://doi.org/10.1002/nav.3800310112
- Federgruen, A., and P. Zipkin. 1984b. “Approximations of Dynamic, Multilocation Production and Inventory Problems.” Management Science 30: 69–84. doi: https://doi.org/10.1287/mnsc.30.1.69
- Federgruen, A., and P. Zipkin. 1985. “Computing Optimal (s, S) Policies in Inventory Models with Continuous Demands.” Advances in Applied Probability 17 (2): 424–442. doi: https://doi.org/10.2307/1427149
- Graves, S. C. 1996. “A Multiechelon Inventory Model with Fixed Replenishment Intervals.” Management Science 42 (1): 1–18. doi: https://doi.org/10.1287/mnsc.42.1.1
- Howard, C., and J. Marklund. 2011. “Evaluation of Stock Allocation Policies in a Divergent Inventory System with Shipment Consolidation.” European Journal of Operational Research 211 (2): 298–309. doi: https://doi.org/10.1016/j.ejor.2010.11.030
- Jackson, P. L. 1988. “Stock Allocation in a two-Echelon Distribution System or “What to do Until Your Ship Comes in”.” Management Science 34 (7): 880–895. doi: https://doi.org/10.1287/mnsc.34.7.880
- Jackson, P. L., and J. A. Muckstadt. 1989. “Risk Pooling in a Two-Period, Two-Echelon Inventory Stocking and Allocation Problem.” Naval Research Logistics 36: 1–26. doi: https://doi.org/10.1002/1520-6750(198902)36:1<1::AID-NAV3220360102>3.0.CO;2-S
- Jönsson, H., and E. A. Silver. 1987. “Stock Allocation among a Central Warehouse and Identical Regional Warehouses in a Particular Push Inventory Control System.” International Journal of Production Research 25 (2): 191–205. doi: https://doi.org/10.1080/00207548708919833
- de Kok, A. G. 1990. “Hierarchical Production Planning for Consumer Goods.” European Journal of Operational Research 45: 55–69. doi: https://doi.org/10.1016/0377-2217(90)90156-6
- de Kok, T. G., and J. C. Fransoo. 2003. “Planning Supply Chain Operations: Definition and Comparison of Planning Concepts.” In Supply Chain Management: Design, Coordination and Operation, edited by A. G. de Kok and S. C. Graves, 597–675. Amsterdam: Elsevier.
- de Kok, A. G., A. G. Lagodimos, and H. P. Seidel. 1994. Stock allocation in a 2-echelon distribution network under service constraints. TUE/BDK/LBS 94-03. Eindhoven: Eindhoven University of Technology.
- Lagodimos, A. G. 1992. “Multi-echelon Service Models for Inventory Systems Under Different Rationing Policies.” International Journal of Production Research 30 (4): 939–956. doi: https://doi.org/10.1080/00207543.1992.9728466
- Lagodimos, A. G., and S. Koukoumialos. 2008. “Service Performance of Two-Echelon Supply Chains Under Linear Rationing.” International Journal of Production Economics 112: 869–884. doi: https://doi.org/10.1016/j.ijpe.2007.07.007
- Lee, J. E., and Y. Hong. 2003. “A Stock Rationing Policy in a (s,S)-Controlled Stochastic Production System with 2-Phase Coxian Processing Times and Lost Sales.” International Journal of Production Economics 83: 299–307. doi: https://doi.org/10.1016/S0925-5273(02)00371-7
- Liu, S., and C. Zhang. 2015. “An Efficient Inventory Rationing Strategy for Systems with Two Demand Classes and Backordering.” International Journal of Production Research 53 (20): 6136–6142. doi: https://doi.org/10.1080/00207543.2015.1027013
- Marklund, J., and K. Rosling. 2012. “Lower Bounds and Heuristics for Supply Chain Stock Allocation.” Operations Research 60 (1): 92–105. doi: https://doi.org/10.1287/opre.1110.1009
- McGavin, E. J., L. B. Schwarz, and J. E. Ward. 1993. “Two-interval Inventory-Allocation Policies in a One-Warehouse N-Identical-Retailer Distribution System.” Management Science 39: 1092–1107. doi: https://doi.org/10.1287/mnsc.39.9.1092
- McGavin, E. J., J. E. Ward, and L. B. Schwarz. 1997. “Balancing Retailer Inventories.” Operations Research 45: 820–830. doi: https://doi.org/10.1287/opre.45.6.820
- Paul, B., and C. Rajendran. 2010. “Optimal and Heuristic Base-Stock Levels and Rationing Policy for a Divergent Supply Chain.” International Journal of Industrial and Systems Engineering 5 (4): 460–484. doi: https://doi.org/10.1504/IJISE.2010.032967
- Paul, B., and C. Rajendran. 2011. “Rationing Mechanisms and Inventory Control-Policy Parameters for a Divergent Supply Chain Operating with Lost Sales and Costs of Review.” Computers & Operations Research 38: 1117–1130. doi: https://doi.org/10.1016/j.cor.2010.11.002
- Pinto, R. 2012. “Stock Rationing Under Service Level Constraints in a Vertically Integrated Distribution System.” International Journal of Production Economics 136: 231–240. doi: https://doi.org/10.1016/j.ijpe.2011.11.023
- Roy, D., and N. R. S. Raghavan. 2014. “A Constrained Nash Bargaining Approach to the Stock Rationing Problem in Multi-Echelon Supply Chains.” The International Journal of Advanced Manufacturing Technology 72: 571–587. doi: https://doi.org/10.1007/s00170-014-5639-4
- Sherbrooke, C. C. 1968. “METRIC: A Multi-Echelon Technique for Recoverable Item Control.” Operations Research 16 (1): 122–141. doi: https://doi.org/10.1287/opre.16.1.122
- Tiishaus, U., and C. Wahl. 1999. “Multiple Criteria Rationing in Divergent Echelon Systems.” In New Trends in Distribution Logistics, edited by M. G. Speranza and P. Stähly, 287–316. Berlin: Springer-Verlag.
- Van Der Heijden, M. C. 1997. “Supply Rationing in Multi-Echelon Divergent Systems.” European Journal of Operational Research 101: 532–549. doi: https://doi.org/10.1016/S0377-2217(96)00187-7
- Van Der Heijden, M. C., E. B. Diks, and A. G. de Kok. 1997. “Stock Allocation in General Multi-Echelon Distribution Systems with (R, S) Order-up-to-Policies.” International Journal of Production Economics 49: 157–174. doi: https://doi.org/10.1016/S0925-5273(97)00005-4
- Van Donselaar, K., and J. Wijngaard. 1987. “Commonality and Safety Stocks.” Engineering Costs and Production Economics 12: 197–204. doi: https://doi.org/10.1016/0167-188X(87)90078-4
- Verrijdt, J. H. C. M., and A. G. De Kok. 1995. “Distribution Planning for a Divergent N-Echelon Network Without Intermediate Stocks Under Service Restrictions.” International Journal of Production Economics 38: 225–243. doi: https://doi.org/10.1016/0925-5273(94)00097-T
- Verrijdt, J. H. C. M., and A. G. de Kok. 1996. “Distribution Planning for a Divergent Depotless two-Echelon Network Under Service Constraints.” European Journal of Operational Research 89: 341–354. doi: https://doi.org/10.1016/0377-2217(94)00242-8
- Wagner, H. M. 1975. Principles of Management Science: With Applications to Executive Decisions. Englewood Cliffs, NJ: Prentice-Hall.
- Wang, Y., S. H. Zhang, S. X. Zhou, and Y. Zhang. 2020. “Anticipated Rationing Policy for Inventory Systems with Two Demand Classes and Backlogging Costs.” Internation Journal of Production Research 58: 6300–6314. doi:https://doi.org/10.1080/00207543.2019.1677960.
- Zheng, Y. S., and A. Federgruen. 1991. “Finding Optimal (s, S) Policies is About as Simple as Evaluating a Single Policy.” Operations Research 39 (4): 654–665. doi: https://doi.org/10.1287/opre.39.4.654