Multi-source facility location-allocation and inventory problem

We consider a joint facility location-allocation and inventory problem that incorporates multiple sources of warehouses. The problem is motivated by a real situation faced by a multinational applied chemistry company. In this problem, multiple products are produced in several plants. Warehouse can be replenished by several plants together because of capabilities and capacities of plants. Each customer in this problem has stochastic demand and certain amount of safety stock must be maintained in warehouses so as to achieve certain customer service level. The problem is to determine number and locations of warehouses, allocation of customers demand and inventory levels of warehouses. The objective is to minimize the expected total cost with the satisfaction of desired demand weighted average customer lead time and desired cycle service level. The problem is formulated as a mixed integer nonlinear programming model. Utilizing approximation and transformation techniques, we develop an iterative heuristic method for the problem. An experiment study shows that the proposed procedure performs well in comparison with a lower bound.

[1]  Zuo-Jun Max Shen,et al.  Trade-offs Between Customer Service and Cost in Integrated Supply Chain Design , 2005, Manuf. Serv. Oper. Manag..

[2]  K. Rosing.  An Optimal Method for Solving the (Generalized) Multi-Weber Problem , 1992 .

[3]  Gilbert Laporte,et al.  The Plant Location Problem: New Models and Research Prospects , 1996, Oper. Res..

[4]  A. Volgenant,et al.  Facility location: a survey of applications and methods , 1996 .

[5]  Xiaoming Yuan,et al.  A heuristic algorithm for constrained multi-source Weber problem - The variational inequality approach , 2008, Eur. J. Oper. Res..

[6]  Amit Mitra,et al.  A multiple criteria approach to the location-allocation problem , 1986 .

[7]  Sang M. Lee,et al.  A multiple criteria model for the location-allocation problem , 1981, Comput. Oper. Res..

[8]  Z. Shen.  Integrated supply chain design models: a survey and future research directions , 2007 .

[9]  Nikos I. Karacapilidis,et al.  Applying the service level criterion in a location-allocation problem , 1994, Decis. Support Syst..

[10]  L. Cooper.  Location-Allocation Problems , 1963 .

[11]  Mark A. Turnquist,et al.  Multiobjective transportation considerations in multiple facility location , 1990 .

[12]  Mark S. Daskin,et al.  Facility Location Modeling and Inventory Management with Multisourcing , 2009, Transp. Sci..

[13]  Marshall L. Fisher,et al.  Coordination of production and distribution planning , 1994 .

[14]  Zuo-Jun Max Shen,et al.  Stochastic Transportation-Inventory Network Design Problem , 2005, Oper. Res..

[15]  Zuo-Jun Max Shen,et al.  An Inventory-Location Model: Formulation, Solution Algorithm and Computational Results , 2002, Ann. Oper. Res..

[16]  Hokey Min,et al.  Multiobjective analysis of facility location decisions , 1990 .

[17]  G. O. Wesolowsky,et al.  The Multiperiod Location-Allocation Problem with Relocation of Facilities , 1975 .

[18]  Mark Goh,et al.  Impact on inventory costs with consolidation of distribution centers , 2001 .

[19]  Russell D. Meller,et al.  The interaction of location and inventory in designing distribution systems , 2000 .

[20]  Zvi Drezner,et al.  Facility location - applications and theory , 2001 .

[21]  Zuo-Jun Max Shen,et al.  A two‐echelon inventory‐location problem with service considerations , 2009 .

[22]  M. Goetschalckx,et al.  A primal decomposition method for the integrated design of multi-period production–distribution systems , 1999 .

[23]  Zuo-Jun Max Shen,et al.  A Joint Location - Inventory Model , 2003, Transp. Sci..

[24]  P. Miranda,et al.  Valid inequalities for Lagrangian relaxation in an inventory location problem with stochastic capacity , 2008 .

[25]  Benita M. Beamon,et al.  A multi-objective approach to simultaneous strategic and operational planning in supply chain design , 2000 .

[26]  Lawrence V. Snyder,et al.  The stochastic location model with risk pooling , 2007, Eur. J. Oper. Res..

[27]  Ali Amiri,et al.  Production , Manufacturing and Logistics Designing a distribution network in a supply chain system : Formulation and efficient solution procedure , 2005 .

[28]  Hasan Pirkul,et al.  Planning and coordination of production and distribution facilities for multiple commodities , 2001, Eur. J. Oper. Res..

[29]  Andreas Drexl,et al.  Facility location models for distribution system design , 2005, Eur. J. Oper. Res..