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Multi-location transshipment problem with capacitated production and lost sales

Published: 03 December 2006 Publication History

Abstract

We consider coordination among stocking locations through replenishment strategies that explicitly take into account lateral transshipments, i.e., transfer of a product among locations at the same echelon level. The basic contribution of our research is the incorporation of supply capacity into the traditional emergency transshipment model. We formulate the capacitated production case as a network flow problem embedded in a stochastic optimization problem. We develop a solution procedure based on infinitesimal perturbation analysis (IPA) to solve the stochastic optimization problem numerically. We analyze the impact on system behavior and on stocking locations' performance when the supplier may fail to fulfill all the replenishment orders and the unmet demand is lost. We find that depending on the production capacity, system behavior can vary drastically. Moreover, in a production-inventory system, we find evidence that either capacity flexibility (i.e., extra production) or transshipment flexibility is required to maintain a certain level of service.

References

[1]
Archibald, T. W., A. A. E. Sassen, and L. C. Thomas. 1997. An optimal policy for a two-depot inventory problem with stock transfer. Management Science 43: 173--183.
[2]
Bendoly, E. 2004. Integrated inventory pooling for firms servicing both on-line and store demand. Computers & Operations Research, 31: 1465--1480.
[3]
Bertrand, L. P. and J. H. Bookbinder. 1998. stock redistribution in two-echelon logistics systems. Operational Research Society, 49: 966--975.
[4]
Dong, L., and N. Rudi. 2004. Who benefits from transshipment? exogenous vs. endogenous wholesale prices. Management Science 50: 645--657.
[5]
Fu, M. C. 1994. Sample path derivatives for (s, S) inventory systems. Operations Research 42: 351--364.
[6]
Fu, M. C., and Hu, J. Q. 1997. Conditional Monte Carlo: Gradient Estimation and Optimization Applications. Kluwer Academic Publishers.
[7]
Fu, M. C., and Hu, J. Q. 1999. Efficient design and sensitivity analysis of control charts using Monte Carlo simulation. Management Science 45: 395--413.
[8]
Glasserman, P. 1991. Gradient Estimation via Perturbation Analysis. Kluwer Academic Publishers.
[9]
Glasserman, P. 1992. Derivative estimates from simulation of continuous-time Markov Chains. Operations Research 40: 292--308.
[10]
Glasserman, P. 1994. Perturbation analysis of production networks. In Stochastic Modeling and Analysis of Manufacturing Systems (Yao, Ed.). Springer-Verlag.
[11]
Glasserman, P. and S. Tayur. 1995. Sensitivity analysis for base stock levels in multi-echelon productioninventory systems. Management Science 41: 263--281.
[12]
Herer, Y. T. and A. Rashit. 1999. Lateral stock transshipments in a two-location inventory system with fixed and joint replenishment costs. Naval Research Logistics 46: 525--547.
[13]
Herer, Y. T., Tzur, M., and Yücesan, E., 2006. The multilocation transshipment problem, IIE Transactions 38: 185--200.
[14]
Herer, Y. T. and M. Tzur. 2001. The dynamic transshipment problem, Naval Research Logistics 48: 386--408.
[15]
Herer, Y. T. and M. Tzur. 2003. Optimal and heuristic algorithms for the multi-location dynamic transshipment problem with fixed transshipment costs, IIE Transactions 35: 419--432.
[16]
Ho, Y. C., M. A. Eyler, and T. T. Chien. 1979. A gradient technique for general buffer storage design in a serial production line. International Journal of Production Research 17: 557--580.
[17]
Jonsson, H. and E. A. Silver. 1987. Analysis of a twoechelon inventory control system with complete redistribution. Management Science 33: 215--227.
[18]
Krishnan, K. S. and V. R. K. Rao. 1965. Inventory control in N warehouses. Journal of Industrial Engineering 16:212--215.
[19]
Özdemir, D. 2004. Collaborative Planning and Replenishment Policies. PhD Dissertation. Technology (and Operations) Management Area, INSEAD.
[20]
Robinson, L. W. 1990. Optimal and approximate policies in multiperiod, multilocation inventory models with transshipments. Operations Research 38: 278--295.
[21]
Rudi, N., S. Kapur, and D. Pyke. 2001. A two-location inventory model with transshipment and local decision making. Management Science 47: 1668--1680.
[22]
Slikker M., Fransoo J. and M. Wouters. 2004. Cooperation between multiple news-vendors with transshipments, European Journal of Operational Research, In Press.
[23]
Swaminathan, J. and S. Tayur. 1999. Stochastic programming models for managing product variety. In: Quantitative Models for Supply Chain Management (Tayur, Ganeshan, and Magazine, Eds.) Kluwer
[24]
Tagaras, G. 1989. Effects of pooling on the optimization and service levels of two-location inventory systems. IIE Transactions 21: 250--257.
[25]
Tagaras, G. 1999. Pooling in multi-location periodic inventory distribution systems. Omega 39--59.
[26]
Tagaras, G. and M. Cohen. 1992. Pooling in two-location inventory systems with non-negligible replenishment lead times. Management Science 38: 1067--1083.
[27]
Wong W., Cattrysse D. and D. Van Oudheusden. 2005. Inventory pooling of repairable spare parts with nonzero lateral transshipment time and delayed lateral transshipments, European Journal of Operational Research, 165: 207--218.
  1. Multi-location transshipment problem with capacitated production and lost sales

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      cover image ACM Conferences
      WSC '06: Proceedings of the 38th conference on Winter simulation
      December 2006
      2429 pages
      ISBN:1424405017

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      • IIE: Institute of Industrial Engineers
      • ASA: American Statistical Association
      • IEICE ESS: Institute of Electronics, Information and Communication Engineers, Engineering Sciences Society
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      • SIGSIM: ACM Special Interest Group on Simulation and Modeling
      • NIST: National Institute of Standards and Technology
      • (SCS): The Society for Modeling and Simulation International
      • INFORMS-CS: Institute for Operations Research and the Management Sciences-College on Simulation

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      Published: 03 December 2006

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      WSC06: Winter Simulation Conference 2006
      December 3 - 6, 2006
      California, Monterey

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      WSC '06 Paper Acceptance Rate 177 of 252 submissions, 70%;
      Overall Acceptance Rate 3,413 of 5,075 submissions, 67%

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