Abstract
In the military and especially the air force, having local repair and storage capability in site impact directly on the operational readiness of armed forces. It is also clear being able to resupply the neighboring sites would make the armed forces more responsive to failures. Here, we consider a network model composed of multiple depots that face uncertain demands for repairable items. It describes the joint problem of determining how many units to repair locally, hold in inventory, and how many to ship to other depots-so as to minimize system-wide inventory storage, shortage and delivery costs. The fleet of vehicles is all stationed at the main depot and each depot has a certain holding and repair capacity. The formulation extends the Federgruen & Zipkin’s combined vehicle-routing and inventory-allocation model (1984) by including local repair and lateral resupply capability. The additional complexity is that each depot needs to decide how many units to repair and can re-supply others.
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References
Axater, S.: A new decision rule for lateral transshipments in inventory systems. Manage. Sci. 49, 1168–1179 (2003)
Baita, F., Ukovich, W., Pesenti, R., Favaretto, D.: Dynamic routing-and–inventory problems: A review. Transp. Res-A. 32, 585–598 (1998)
Berman, O., Larson, R.C.: Deliveries in an inventory/routing problem using stochastic dynamic programming. Transp. Sci. 35, 192–213 (2001)
Bertazzi, L., Paletta, G., Speranza, M.G.: Deterministic order-up-to-level policies in an inventory routing problem. Transp. Sci. 36, 119–132 (2002)
Bowersox, D.J., Closs, D.J.: Logistical Management: The Integrated Supply Chain Processes. McGraw-Hill, New York (1996)
Chan, Y.: Location, Transport and Land-Use: Modelling spatial-temporal information. Springer, Heidelberg (2005)
Christofides, N., Beasley, E.J.: The period routing problem. Networks. 14, 237–256 (1984)
Coelho, L.C., Cordeau, J.-F., Laporte, G.: (n.d.): “Thirty years of inventory-routing.” Working paper, Faculte des sciences de l’administration, Laval University, Quebec City
DeCroix, G., Song, J.-S., Zipkin, P.H.: A series system with returns: Stationary analysis. Op. Res. 53, 350–362 (2005)
Dror, M., Ball, M.: Inventory/routing: Reduction from an annual to a short-period problem. Nav. Res. Logist. 34, 891–905 (1987)
Federgruen, A., Zipkin, P.: A combined vehicle routing and inventory/allocation problem. Op. Res. 32, 1019–1037 (1984)
Federgruen, A., Prastacos, G., Zipkin, P.H.: An allocation and distribution model for perishable products. Op Res. 31, 75–82 (1986)
Geoffrion, A.M.: Generalized benders decomposition. J. Optim. Theory Appl. 10, 237–260 (1972)
Haughton, M.A., Stenger, A.J.: Comparing strategies for addressing delivery shortages in stochastic demand settings. Transp. Res-E. 35, 25–41 (1999)
Herer, Y.T, Levy, R.: The metered inventory problem, an integrative heuristic algorithm. Prod. Econ. 51, 69–81 (1997)
Herer, Y.T., Rashit, A.: Lateral stock transshipments in a two-location inventory system with fixed and joint replenishment costs. Nav. Res. Logist. 46, 525–547 (1999)
Hooker, J. N.: Planning and scheduling by logic-based benders decomposition. Oper. Res. 55(3), 588–602 (2007)
Jung, B.-R., Sun, B.-G., Kim, J.-S., Ahn, S.-E.: Modeling lateral transshipments in multiechelon repairable-item inventory systems with finite repair channels. Comput. Op. Res. 30, 1401–1417 (2003)
Kaihara, T.: Multi-agent based supply chain modelling with dynamic environments. Int. J. Prod. Econ. 85, 263–269 (2003)
Khouja, M.: The single-period (news-vendor) problem: Literature review and suggestions for future research. Omega—Int. J. Manage. Sci. 27, 537–553 (1999)
McGrath, R.N.: Maintenance: The missing link in supply chain management. Ind. Manage. 41, 29–33 (1999)
Meloa, M.T., Nickel, S., Saldanha da Gama, F.: Dynamic multi-commodity capacitated facility location: a mathematical modeling framework for strategic supply chain planning. Comput. Op. Res. 33, 181–208 (2005)
Shen, Z-.J. M., Coullard, C., Daskin, M.S.: A joint location-inventory model. Transp. Sci. 37, 40–55 (2003)
Sherbrook, C.C.: Optimal Inventory Modeling of Systems: Multi-echelon Techniques. Wiley, New York (1992)
Slikker, M., Fransoo, J., Wouters, M.: Cooperation between multiple new-vendors with transshipments. Eur. J. Oper. Res. 167, 370–380 (2005)
Stadler, H.: Supply chain management and advanced planning—basics, overview and challenges. Eur. J. Oper. Res. 163, 575–588 (1995)
Tersine, R.J.: Principles of Inventory and Materials Management. PTR Prentice-Hall, Saddle River (1994)
Webb, I.R., Larson, R.C.: Period and phase of customer replenishment: A new approach to the strategic inventory/routing problem. Eur. J. Oper. Res. 85, 132–148 (1995)
Yang, W-W; Mathur, K.; Ballou, R.H.: Stochastic vehicle routing problem with restocking. Transp. Sci. 34, 99–112 (2000)
Acknowledgements
The authors like to acknowledge the valuable inputs from M. Arostegui, M. Niklas, J. Stewart, and J. Weir, for their contribution during the conduct of this study. They also benefited from the insightful comments of reviewers. The study was conducted under the sponsorship of the Air Force Materiel Command at Wright-Patterson AFB while the first author was stationed at the Base and while the second author was a faculty member of the Air Force Institute of Technology. Obviously, the authors alone are responsible for the document as presented. The views expressed here do not represent those of the organizations the authors are/were affiliated with.
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Eren, B., Chan, Y. (2015). A Combined Inventory and Lateral Re-Supply Model for Repairable Items—Part I: Modeling an Air Force Logistics Problem. In: Zeimpekis, V., Kaimakamis, G., Daras, N. (eds) Military Logistics. Operations Research/Computer Science Interfaces Series, vol 56. Springer, Cham. https://doi.org/10.1007/978-3-319-12075-1_4
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DOI: https://doi.org/10.1007/978-3-319-12075-1_4
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