Inventory routing problems: a logistical overview

This paper presents an overview of Supply Chain Management while focussing on the area of Inventory Routing. We aim to provide the state-of-the-art in this area while highlighting the usefulness of the models in practice as well as their limitations. We have classified the papers based on the planning horizon employed in the models namely single period, multiperiod and infinite horizon models that are then complemented by those with stochastic demand patterns. Future research avenues that we believe to be of interest to the OR/MS community are also presented.

[1]  Richard T. Wong,et al.  An Integrated Inventory Allocation and Vehicle Routing Problem , 1989, Transp. Sci..

[2]  Zvi Drezner,et al.  The central warehouse location problem revisited , 2003 .

[3]  David Ronen,et al.  Marine inventory routing: shipments planning , 2002, J. Oper. Res. Soc..

[4]  M. Duffy HOW GILLETTE CLEANED UP ITS SUPPLY CHAIN , 2004 .

[5]  Moshe Dror,et al.  Delivery Cost Approximations for Inventory Routing Problems in a Rolling Horizon Framework , 2002, Transp. Sci..

[6]  Walter Ukovich,et al.  Minimization of logistic costs with given frequencies , 1997 .

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

[8]  Moshe Dror,et al.  Stochastic Inventory Routing: Route Design with Stockouts and Route Failures , 1989, Transp. Sci..

[9]  Moshe Dror,et al.  CASH FLOW OPTIMIZATION IN DELIVERY SCHEDULING , 1996 .

[10]  Leslie Hansen Harps SUPPLY CHAIN BEST PRACTICES: HITTING THE MARK , 2003 .

[11]  Leslie Hansen Harps THE NATURE OF CHANGE , 2003 .

[12]  Moshe Dror,et al.  Inventory/routing: Reduction from an annual to a short-period problem , 1987 .

[13]  Teodor Gabriel Crainic,et al.  Fleet management and logistics , 1998 .

[14]  D. Simchi-Levi,et al.  Probabilistic Analyses and Algorithms for Three-Level Distribution Systems , 1998 .

[15]  D. Blumenfeld,et al.  Analyzing trade-offs between transportation, inventory and production costs on freight networks , 1985 .

[16]  Stephen G. Timme,et al.  THE REAL COST OF HOLDING INVENTORY. , 2003 .

[17]  Richard C. Larson,et al.  Period and phase of customer replenishment: A new approach to the Strategic Inventory/Routing problem , 1995 .

[18]  Michel Gendreau,et al.  Issues in Real-Time Fleet Management , 2004, Transp. Sci..

[19]  Moshe Dror,et al.  A computational comparison of algorithms for the inventory routing problem , 1985 .

[20]  Walter Ukovich,et al.  Minimizing Transportation and Inventory Costs for Several Products on a Single Link , 1994, Oper. Res..

[21]  Moshe Dror,et al.  A vehicle routing improvement algorithm comparison of a "greedy" and a matching implementation for inventory routing , 1986, Comput. Oper. Res..

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

[23]  Awi Federgruen,et al.  Structured Partitioning Problems , 1991, Oper. Res..

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

[25]  A. Federgruen,et al.  Rejoinder to “Comments on one-warehouse multiple retailer systems with vehicle routing costs” , 1991 .

[26]  Martin W. P. Savelsbergh,et al.  The Stochastic Inventory Routing Problem with Direct Deliveries , 2002, Transp. Sci..

[27]  Moshe Dror,et al.  Stochastic and Dynamic Models in Transportation , 1993, Oper. Res..

[28]  Richard C. Larson,et al.  Transporting Sludge to the 106-Mile Site: An Inventory/Routing Model for Fleet Sizing and Logistics System Design , 1988, Transp. Sci..

[29]  Randolph W. Hall,et al.  Distribution Strategies that Minimize Transportation and Inventory Costs , 1985, Oper. Res..

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

[31]  Lap Mui Ann Chan,et al.  Probabilistic Analyses and Practical Algorithms for Inventory-Routing Models , 1998, Oper. Res..

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

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

[34]  Guillermo Gallego,et al.  On the effectiveness of direct shipping strategy for the one-warehouse multi-retailer R -systems , 1990 .

[35]  Said Salhi,et al.  The effect of ignoring routes when locating depots , 1989 .

[36]  Helena Ramalhinho Dias Lourenço,et al.  Inventory-Routing Model, for a Multi-Period Problem with Stochastic and Deterministic Demand , 2003 .

[37]  David Simchi-Levi,et al.  The logic of logistics , 1997 .

[38]  James H. Bookbinder,et al.  An integrated inventory-transportation system with modified periodic policy for multiple products , 1999, Eur. J. Oper. Res..

[39]  S. C. Liu,et al.  A two-phase heuristic method for the multi-depot location routing problem taking inventory control decisions into consideration , 2003 .

[40]  Walter Ukovich,et al.  Dynamic routing-and-inventory problems: a review , 1998 .

[41]  Walter Ukovich,et al.  Analysis and integration of optimization models for logistic systems , 1994 .

[42]  Luca Bertazzi,et al.  Deterministic Order-Up-To Level Policies in an Inventory Routing Problem , 2002, Transp. Sci..

[43]  Randolph W. Hall Determining vehicle dispatch frequency when shipping frequency differs among suppliers , 1985 .

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

[45]  Moshe Dror,et al.  A Decomposition Approach to the Inventory Routing Problem with Satellite Facilities , 1998, Transp. Sci..

[46]  Awi Federgruen,et al.  An Allocation and Distribution Model for Perishable Products , 1986, Oper. Res..

[47]  Hokey Min,et al.  Combined location-routing problems: A synthesis and future research directions , 1998, Eur. J. Oper. Res..

[48]  David Simchi-Levi,et al.  Analysis of vehicle routing and inventory-routing problems , 1995 .

[49]  Saïd Salhi,et al.  Location-routing: Issues, models and methods , 2007, Eur. J. Oper. Res..