Abstract
A model that combines an inventory and location decision is presented, analyzed and solved. In particular, we consider a single distribution center location that serves a finite number of sales outlets for a perishable product. The total cost to be minimized, consists of the transportation costs from the distribution center to the sales outlets as well as the inventory related costs at the sales outlets. The location of the distribution center affects the inventory policy. Very efficient solution approaches for the location problem in a planar environment are developed. Computational experiments demonstrate the efficiency of the proposed solution approaches.
Similar content being viewed by others
References
Al-Khayyal F, Tuy H, Zhou F (2002) Large-scale single facility continuous location by D.C. optimization. Optimization 51:271–292
Ballou RH (2003) Business logistics management, 5th edn. Prentice Hall Inc., New Jersey
Carrizosa E (2001) An optimal bound for D.C. programs with convex constraints. Math Methods Oper Res 54:47–51
Cooper L (1963) Location-allocation problems. Oper Res 11:331–343
Cooper L (1964) Heuristic methods for location-allocation problems. SIAM Rev 6:37–53
Daskin MS, Coullard C, Shen Z-JM (2002) An inventory-location model: formulation, solution algorithm and computational results. Ann Oper Res 110:83–106
Drezner T, Drezner Z (2007) Equity models in planar location. Comput Manag Sci 4:1–16
Drezner T, Drezner Z, Guyse J (2009) Equitable service by a facility: minimizing the Gini coefficient. Comput Oper Res 36:3240–3246
Drezner Z (2007) A general global optimization approach for solving location problems in the plane. J Glob Optim 37:305–319
Drezner Z (2009) On the convergence of the generalized Weiszfeld algorithm. Ann Oper Res 167:327–336
Drezner Z, Drezner T (1998) Applied location theory models. In: Marcoulides GA (ed) Modern methods for business research. Lawrence Erlbaum Associates, Mahwah, NJ, pp 79–120
Drezner Z, Suzuki A (2004) The big triangle small triangle method for the solution of non-convex facility location problems. Oper Res 52:128–135
Drezner Z, Scott CH, Song J-S (2003) The central warehouse location problem revisited. IMA J Manag Math 14:321–336
Horst R, Thoai NV (1999) DC programming: overview. J Optim Theory Appl 103:1–43
Lee DT, Schachter BJ (1980) Two algorithms for constructing a Delaunay triangulation. Int J Parallel Program 9(3):219–242
Maranas CD, Floudas CA (1993) A global optimization method for Weber’s problem with attraction and repulsion. In: Hager WW, Hearn DW, Pardalos PM (eds) Large scale optimization: state of the art. Kluwer, Dordrecht, pp 259–293
Nahmias S (2008) Production and operations management, 6th edn. McGraw Hill/Irwin, Chicago
Ohya T, Iri M, Murota K (1984) Improvements of the incremental method of the Voronoi diagram with computational comparison of various algorithms. J Oper Res Soc Jpn 27:306–337
Scott CH, Song J-S (1996) On the location of a central warehouse. Stud Locat Anal 9:123–126 (ISOLDE VII Proceedings)
Scwartz LB (1981) Physical distribution: the analysis of inventory and location. AIIE Trans 13:138–151
Shen Z-JM, Coullard C, Daskin MS (2003) A joint location-inventory model. Transp Sci 37:40–55
Sugihara K, Iri M (1994) A robust topology-oriented incremental algorithm for Voronoi diagram. Int J Comput Geom Appl 4:179–228
Tuy H, Al-Khayyal F, Zhou F (1995) A D.C. optimization method for single facility location problems. J Glob Optim 7:209–227
Weiszfeld E (1936) Sur le point pour lequel la somme des distances de n points donnes est minimum. Tohoku Math J 43:355–386
Weiszfeld E, Plastria F (2009) On the point for which the sum of the distances to n given points is minimum. Ann Oper Res 167:7–41 (English Translation of Weiszfeld (1936))
Wendell RE, Hurter AP (1973) Location theory, dominance and convexity. Oper Res 21:314–320
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Drezner, Z., Scott, C.H. Location of a distribution center for a perishable product. Math Meth Oper Res 78, 301–314 (2013). https://doi.org/10.1007/s00186-013-0445-6
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00186-013-0445-6