Variable neighborhood search for the inventory routing and scheduling problem in a supply chain

The inventory, routing and scheduling decisions are three major driving factors for supply chain performance. Since they are related to one another in a supply chain, they should be determined simultaneously to improve the decision quality. In the past, the inventory policy, vehicle routing and vehicle scheduling are determined sequentially and separately. Hence, the total cost (inventory, routing and vehicle costs) would increase. In this paper, an integrated model for the inventory routing and scheduling problem (IRSP) is proposed. Since searching for the optimal solution for this model is a non-polynomial (NP) problem, a metaheuristic, variable neighborhood search (VNS), is proposed. The proposed method was compared with other existing methods. The experimental results indicate that the proposed method is better than other methods in terms of average cost per day.

[1]  Louis M. Dalberto,et al.  Improving the Distribution of Industrial Gases with an On-Line Computerized Routing and Scheduling Optimizer , 1983 .

[2]  Awi Federgruen,et al.  One warehouse multiple retailer systems with vehicle routing costs , 1990 .

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

[4]  Awi Federgruen,et al.  Two-Echelon Distribution Systems with Vehicle Routing Costs and Central Inventories , 1993, Oper. Res..

[5]  Shuang Chen,et al.  Model and algorithm for inventory/routing decision in a three-echelon logistics system , 2008, Eur. J. Oper. Res..

[6]  Emmanouil E. Zachariadis,et al.  An integrated local search method for inventory and routing decisions , 2009, Expert Syst. Appl..

[7]  Kin Keung Lai,et al.  A partition approach to the inventory/routing problem , 2007, Eur. J. Oper. Res..

[8]  Bruce L. Golden,et al.  Analysis of a large scale vehicle routing problem with an inventory component , 1984 .

[9]  R. Hall CONSOLIDATION STRATEGY : INVENTORY, VEHICLES AND TERMINALS , 1987 .

[10]  Awi Federgruen,et al.  A Class of Euclidean Routing Problems with General Route Cost Functions , 1990, Math. Oper. Res..

[11]  El-Houssaine Aghezzaf,et al.  Designing distribution patterns for long-term inventory routing with constant demand rates , 2008 .

[12]  El Houssaine Aghezzaf,et al.  Production , Manufacturing and Logistics A practical solution approach for the cyclic inventory routing problem , 2008 .

[13]  H. Edwin Romeijn,et al.  An Integrated Inventory-Routing System for Multi-item Joint Replenishment with Limited Vehicle Capacity , 2005, J. Glob. Optim..

[14]  Awi Federgruen,et al.  A Combined Vehicle Routing and Inventory Allocation Problem , 1984, Oper. Res..

[15]  S. Chopra,et al.  Supply Chain Management: Strategy, Planning & Operation , 2007 .

[16]  Shoshana Anily The general multi-retailer EOQ problem with vehicle routing costs , 1994 .

[17]  Kamlesh Mathur,et al.  An Efficient Heuristic Algorithm for a Two-Echelon Joint Inventory and Routing Problem , 2007, Transp. Sci..

[18]  Marshall L. Fisher,et al.  A Periodic Inventory Routing Problem at a Supermarket Chain , 2004, Oper. Res..

[19]  Marielle Christiansen,et al.  Industrial aspects and literature survey: Combined inventory management and routing , 2010, Comput. Oper. Res..

[20]  Martin W. P. Savelsbergh,et al.  A Decomposition Approach for the Inventory-Routing Problem , 2004, Transp. Sci..

[21]  Saïd Salhi,et al.  Inventory routing problems: a logistical overview , 2007, J. Oper. Res. Soc..

[22]  Hendrik Van Landeghem,et al.  Modeling inventory routing problems in supply chains of high consumption products , 2006, Eur. J. Oper. Res..

[23]  Young Hae Lee,et al.  Vehicle routing scheduling for cross-docking in the supply chain , 2006, Comput. Ind. Eng..

[24]  Feng Chu,et al.  Performance evaluation of distribution strategies for the inventory routing problem , 2010, Eur. J. Oper. Res..

[25]  Kamlesh Mathur,et al.  Integrating routing and inventory decisions in one-warehouse multiretailer multiproduct distribution systems , 1997 .