Location-Inventory Problem

Part of the Contributions to Management Science book series (MANAGEMENT SC.)


Traditionally, logistics analysts have divided decision levels into strategic, tactical and operational (Miranda and Garrido 2006). There are also three important decisions within a supply chain: facilities location decisions; inventory management decisions; and distribution decisions (Shen and Qi 2007). For example, in a distribution network, we could mention location of Distribution centers (DCs) as a strategic decision, distribution decisions as a tactical decision and inventory service level as a tactical or operational decision. Often, for modeling purposes, these levels are considered separately. And this may conduce to make non-optimal decisions, since in reality there is interaction between the different levels (Miranda and Garrido 2006). For example, most well-studied location models do not consider inventory costs, and shipment costs are estimated by direct shipping. Although one may argue that tactical inventory replenishment decisions and shipment schemes are not at the strategic level, and we should not consider them in the strategic planning phase, however, failure to take the related inventory and shipment costs into consideration when deciding the locations of facilities can lead to sub-optimality, since strategic location decisions have a big impact on inventory and shipment costs (Shen and Qi 2007). On the other hand firms would like to consider cost and service levels simultaneously. It is good to have many DCs, since this reduces the cost of transporting product to customers (/retailers) and will provide better service. Also, it is good to have few DCs, since this reduces the cost of holding inventory via pooling effects, and reduces the fixed costs associated with operating DCs via economies of scale (Erlebacher and Meller 2000).


Supply Chain Shipment Cost Lagrangian Relaxation Inventory Cost Retail Outlet 
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  1. Axsater S (1996) Using the deterministic EOQ formula in stochastic inventory control. Manage Sci 42:830–834CrossRefGoogle Scholar
  2. Daskin MS, Coullard CR, Shen ZM (2002) An inventory-location model: formulation, solution algorithm and computational results. Ann Oper Res 110:83–106CrossRefGoogle Scholar
  3. Erlebacher SJ, Meller RD (2000) The interaction of location and inventory in designing distribution systems. IIE Trans 32:155–166Google Scholar
  4. Miranda PA, Garrido RA (2006) A simultaneous inventory control and facility location model with stochastic capacity constraints. Netw Spat Econ 6:39–53CrossRefGoogle Scholar
  5. Miranda PA, Garrido RA (2008) Valid inequalities for Lagrangian relaxation in an inventory location problem with stochastic capacity. Transport Res E 44:47–65CrossRefGoogle Scholar
  6. Nozick LK, Turnquist MA (1998) Integrating inventory impacts into a fixed-charge model for locating distribution centers. Transport Res E-Log 34(3):173–186CrossRefGoogle Scholar
  7. Nozick LK, Turnquist MA (2001) Inventory, transportation, service quality and the location of distribution centers of distribution centers. Eur J Oper Res 129:362–371CrossRefGoogle Scholar
  8. Shen ZM, Qi L (2007) Incorporating inventory and routing costs in strategic location models. Eur J Oper Res 179:372–389CrossRefGoogle Scholar
  9. Shen ZM, Coullard C, Daskin MS (2003) A joint location-inventory model. Transport Sci 37(1):40–55CrossRefGoogle Scholar
  10. Snyder LV, Daskin MS, Teo CP (2007) The stochastic location model with risk pooling. Eur J Oper Res 179:1221–1238CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  1. 1.Department of Industrial EngineeringAmirkabir University of TechnologyTehranIran

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