An optimisation model for the design of global multi-echelon supply chains under lead time constraints

This article presents a mixed integer programming model for the design of global multi-echelon supply chains while considering lead time constraints. Indeed, we impose that the delivery lead time that can be promised by the company must be smaller than the lead time required by the customer. The delivery lead time is calculated based on the lead times of purchasing, manufacturing and transportation that are triggered by the customer order while considering the stock levels of purchased, intermediate and final products that must be kept at the different facilities. Computational studies are conducted in order to analyse the impacts of including lead times on the supply chain design decisions and to prove the solvability of the model.

[1]  Kripa Shanker,et al.  A single-vendor single-buyer production-inventory model with controllable lead time and service level constraint for decaying items , 2009 .

[2]  Reha Uzsoy,et al.  Production, Manufacturing and Logistics Outbound supply chain network design with mode selection, lead times and capacitated vehicle distribution centers , 2005 .

[3]  Dmitry Ivanov,et al.  An adaptive framework for aligning (re)planning decisions on supply chain strategy, design, tactics, and operations , 2010 .

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

[5]  Jan Karel Lenstra,et al.  Linear programming models with planned lead times for supply chain operations planning , 2005, Eur. J. Oper. Res..

[6]  Marc Goetschalckx,et al.  Strategic production-distribution models: A critical review with emphasis on global supply chain models , 1997 .

[7]  Stanley E. Fawcett,et al.  Strategic logistics in co-ordinated global manufacturing success , 1992 .

[8]  Onur Kaya,et al.  Inventory positioning, scheduling and lead-time quotation in supply chains , 2008 .

[9]  A. Billionnet Optimisation Discrète, de la modélisation à la résolution par des logiciels de programmation mathématique , 2007 .

[10]  Reha Uzsoy,et al.  A single-product network design model with lead time and safety stock considerations , 2007 .

[11]  Sean P. Willems,et al.  Supply Chain Design: Safety Stock Placement and Supply Chain Configuration , 2003, Supply Chain Management.

[12]  Shu-Lu Hsu,et al.  Replenishment and Lead Time Decisions in Manufacturer-Retailer Chains , 2009 .

[13]  Yehuda Bassok,et al.  Optimizing delivery lead time/inventory placement in a two-stage production/distribution system , 2006, Eur. J. Oper. Res..

[14]  Mary J. Meixell,et al.  Global supply chain design: A literature review and critique , 2005 .

[15]  Terry P. Harrison,et al.  Global Supply Chain Management at Digital Equipment Corporation , 1995 .

[16]  Asoo J. Vakharia,et al.  Integrated production/distribution planning in supply chains: An invited review , 1999, Eur. J. Oper. Res..

[17]  Yannick Frein,et al.  A strategic-tactical model for the supply chain design in the delocalization context: Mathematical formulation and a case study , 2009 .

[18]  Yao Zhao,et al.  Safety Stock Positioning in Supply Chains with Stochastic Lead Times , 2005, Manuf. Serv. Oper. Manag..