A supply chain network design considering transportation cost discounts

This study addresses an integrated facility location and inventory allocation problem considering transportation cost discounts. Specifically, this article considers two types of transportation discounts simultaneously: quantity discounts for inbound transportation cost and distance discounts for outbound transportation cost. This study uses an approximation procedure to simplify DC distance calculation details, and develops an algorithm to solve the aforementioned supply chain management (SCM) problems using nonlinear optimization techniques. Numerical studies illustrate the solution procedures and the effects of the model parameters on the SCM decisions and total costs. Results of this study serve as a reference for business managers and administrators.

[1]  D. Erlenkotter The general optimal market area model , 1990 .

[2]  Z. Shen A multi-commodity supply chain design problem , 2005 .

[3]  Vedat Verter,et al.  A multi-dimensional shooting algorithm for the two-facility location-allocation problem with dense demand , 2011, Comput. Oper. Res..

[4]  Tsung-Hui Chen,et al.  Optimal ordering and pricing policies for deteriorating items in one-vendor multi-retailer supply chain , 2010 .

[5]  Aysegül Toptal,et al.  Replenishment decisions under an all-units discount schedule and stepwise freight costs , 2009, Eur. J. Oper. Res..

[6]  André Langevin,et al.  CONTINUOUS APPROXIMATIONA MODELS IN FREIGHT DISTRIBUTION: AN OVERVIEW , 1996 .

[7]  Trevor S. Hale,et al.  A continuous approximation procedure for determining inventory distribution schemas within supply chains , 2008, Eur. J. Oper. Res..

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

[9]  Arthur M. Geoffrion,et al.  The Purpose of Mathematical Programming is Insight, Not Numbers , 1976 .

[10]  Mark A. Turnquist,et al.  Inventory, transportation, service quality and the location of distribution centers , 2001, Eur. J. Oper. Res..

[11]  Vedat Verter,et al.  A continuous model for production-distribution system design , 2001, Eur. J. Oper. Res..

[12]  Carlos F. Daganzo,et al.  Logistics Systems Analysis , 1991 .

[13]  Yu-Chung Tsao,et al.  Channel coordination, trade credit and quantity discounts for freight cost , 2007 .

[14]  Tae-Eog Lee,et al.  A three-level supply chain network design model with risk-pooling and lead times , 2010 .

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

[16]  G. F. Newell Scheduling, Location, Transportation, and Continuum Mechanics: Some Simple Approximations to Optimization Problems , 1973 .

[17]  R. Ganeshan Managing supply chain inventories: A multiple retailer, one warehouse, multiple supplier model , 1999 .

[18]  Mark S. Daskin,et al.  Network and Discrete Location: Models, Algorithms and Applications , 1995 .

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

[20]  Hussein Naseraldin,et al.  Integrating the Number and Location of Retail Outlets on a Line with Replenishment Decisions , 2008, Manag. Sci..

[21]  Tsung-Hui Chen,et al.  The optimal ordering and advertising policy for a single-period commodity in a supply chain , 2010 .

[22]  Theodore S. Glickman,et al.  Optimal Vendor Selection in a Multiproduct Supply Chain with Truckload discounts , 2008 .

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

[24]  H. Edwin Romeijn,et al.  Designing two-echelon supply networks , 2007, Eur. J. Oper. Res..

[25]  Randolph W. Hall,et al.  Discrete models/continuous models , 1986 .

[26]  Chung-Yee Lee,et al.  The Economic Order Quantity for Freight Discount Costs , 1986 .

[27]  Hark Hwang,et al.  Joint price and lot size determination under conditions of permissible delay in payments and quantity discounts for freight cost , 1996 .

[28]  Nader Azad,et al.  Incorporating location, routing and inventory decisions in supply chain network design , 2010 .

[29]  Yu-Chung Tsao,et al.  A continuous approximation approach for the integrated facility-inventory allocation problem , 2012, Eur. J. Oper. Res..

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

[31]  Mark A. Turnquist,et al.  Integrating inventory impacts into a fixed-charge model for locating distribution centers , 1998 .

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

[33]  Chung-Piaw Teo,et al.  Warehouse-Retailer Network Design Problem , 2004, Oper. Res..

[34]  Ronald H. Ballou,et al.  Business Logistics/Supply Chain Management -5/E , 2004 .

[35]  Eric R. Zieyel Operations research : applications and algorithms , 1988 .

[36]  Vedat Verter,et al.  A continuous analysis framework for the solution of location-allocation problems with dense demand , 2008, Comput. Oper. Res..

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