Warehouse location with production, inventory, and distribution decisions: a case study in the lube oil industry
Tóm tắt
In this paper, a supply chain management problem from a real case study is modeled and solved. A company in Pakistan wanted to outsource part of its warehousing activity to a third party logistics (3PL) provider. Consequently, the company had to decide on where to rent space in the 3PL warehouses. Knowing that such a strategic decision is affected by tactical and operational decisions, the problem is presented as a facility location problem integrating production, inventory, and distribution decisions. The problem is formulated as a mixed integer linear programming model which minimizes the total cost composed of location, distribution, production, and inventory costs. Several constraints specific to the situation and policy of the company were considered. A thorough analysis was done on the results obtained with respect to formulation efficiency, sensitivity analysis, and distribution of costs. In addition to the solution of the company problem, a set of 1215 problem instances was generated by varying five types of relevant costs in a full factorial manner. The solution of the generated problems always suggests to open in the same two locations and the integrality gaps averaged 0.062 % with a maximum of 0.102 %. On average, the major components of the total cost are production cost (96.6 %), transportation costs (2.7 %), and inventory holding costs (0.38 %). The total warehouse opening cost accounted for less than 0.05 % of the total costs.
Tài liệu tham khảo
Ambrosino D, Scutellá M (2005) Distribution network design: new problems and related models. Eur J Oper Res 165(3):610–624
Balinski M (1965) Integer programming: methods, uses, computation. Manag Sci 12(3):253–313
Berger R (1997) Location-routing models for distribution system design. PhD thesis. Northwestern University
Brahimi N, Dauzère-Pérès S, Najid N, Nordli A (2006) Single item lot sizing problems. Eur J Oper Res 168:1–16
Chen Q, Li X, Ouyang Y (2011) Joint inventory-location problem under the risk of probabilistic facility disruptions. Transp Res Part B 45:991–1003
Daskin M, Collette R, Coullard Z, Shen J (2002) An inventory-location model: formulation, solution algorithm and computational results. Ann Oper Res 110:83–106
Daskin M (2008) What you should know about location modeling. Naval Res Logist 55:283–294
Daskin M, Snyder L, Berger R (2005) Facility location in supply chain design. In: LOGISTICS SYSTEMS: DESIGN AND OPTIMIZATION, 1st edn, springer
Florian M, Lenstra JK (1980) Deterministic production planning: algorithms and complexity. Manag Sci 26(7):669–679
Geoffrion A, Graves G (1974) Multicommodity distribution system design by bender’s decomposition. Manag Sci 20:822–844
Hilmola O, Lorentz H (2011) Warehousing in northern europe: longitudinal survey findings. Ind Manag Data Syst 111(3):320–340
van Hoesel CPM, Wagelmans APM (1996) An O(\(T^3\)) algorithm for the economic lot-sizing problem with constant capacities. Manag Sci 42(1):142–150
Javid A, Azad N (2010) Incorporating location, routing and inventory decisions in supply chain network design. Transp Res Part E Logist Transp Rev 46:582–897
Jayaraman V (1998) Transportation, facility location and inventory issues in distribution network design: an investigation. Int J Oper Prod Manag 18(5):471–494
Klose A, Drexl A (2005) Facility location models for distribution system design. Eur J Oper Res 162:4–29
Maltz A (1994) Outsourcing the warehousing function: economic and strategic considerations. Logist Transp Rev 30:245–265
Melo M, Nickel S (2009) Facility location and supply chain management: a review. Eur J Oper Res 196:401–412
Miranda P, Garrido R (2004) Incorporating inventory control decisions into a strategic distribution network design model with stochastic demand. Transp Res Part E 40:183–207
Miranda P, Garrido R (2008) Valid inequalities for lagrangian relaxation in an inventory location problem with stochastic capacity. Transp Res Part E 44:47–65
Miranda P, Garrido R (2009) Inventory service-level optimization within distribution network design problem. Int J Prod Econ 122:276–285
Owen S, Daskin M (1998) Strategic facility location: a review. Eur J Oper Res 111(3):423–447
Prins C, Prodhon C, Ruiz A, Soriano P, Calvo RW (2007) Solving the capacitated location-routing problem by a cooperative lagrangean relaxation-granular tabu search heuristic. Transp Sci 41(4):470–483
Quadt D, Kuhn H (2008) Capacitated lot-sizing with extensions: a review. 4OR Q J Oper Res 6(1):61–83
Thizy J (1994) A facility location problem with aggregate capacity. INFOR 32(1):1–18
Wu T, Low C, Bai J (2002) Heuristic solutions to multi-depot location-routing problems. Comput Oper Res 29:1393–1415
Xpress-MP (2010) Fico xpress optimization suite, from fair isaac corporation. www.fico.com
Yao Z, Lee L, Jaruphongsa W, Tan V, Hui C (2010) Multi-source facility location-allocation and inventory problem. Eur J Oper Res 207(2):750–762