We analyze a continuous review lost sales inventory system with two types of
orders—regular and emergency. The regular order has a stochastic lead time
and is placed with the cheapest acceptable supplier. The emergency order has
a deterministic lead time is placed with a local supplier who has a higher
price. The emergency order is not always filled since the supplier may not
have the ability to provide the order on an emergency basis at all times. This
emergency order has a higher cost per item and has a known probability of
being filled. The total costs for this system are compared to a system without
emergency placement of orders. This paper provides managers with a tool to
assess when dual sourcing is cost optimal by comparing the single sourcing
and dual sourcing models.
References
[1]
Thomas, D.J. and Tyworth, J.E. (2007) Is Pooling Lead-Time Risk by Splitting Orders Simultaneously Worthwhile? Journal of Business Logistics, 28, 169-193. https://doi.org/10.1002/j.2158-1592.2007.tb00236.x
[2]
Minner, S. (2003) Multiple Supplier Inventory Models in Supply Chain Management: A Review. International Journal of Production Economics, 81-82, 265-279. https://doi.org/10.1016/S0925-5273(02)00288-8
[3]
Barankin, E.W. (1961) A Delivery-Lag Inventory Model with Emergency Provision. Naval Research Logistics, 8, 285-311. https://doi.org/10.1002/nav.3800080310
[4]
Neuts, M.F. (1964) An Inventory Model with an Optimal Time Lag. Journal of the Society for Industrial and Applied Mathematics, 12, 179-185. https://doi.org/10.1137/0112016
[5]
Johansen, S.G. (2018) Emergency Orders in the Periodic-Review Inventory System with Fixed Ordering Costs and Stochastic Lead Times for Normal Orders. International Journal of Production Economics, in Press. https://doi.org/10.1016/j.ijpe.2018.01.017
[6]
Dohi, T., Kaio, N. and Osaki, S. (1995) Continuous-Review Cyclic Inventory Models with Emergency Orders. Journal of the Operations Research Society of Japan, 38, 212-229. https://doi.org/10.15807/jorsj.38.212
[7]
Giri, B.C. and Dohi, T. (2009) Cost-Effective Ordering Policies for Inventory Systems with Emergency Order. Computers & Industrial Engineering, 57, 1336-1341. https://doi.org/10.1016/j.cie.2009.07.001
[8]
Bradley, J.R. (2004) A Brownian Approximation of a Produc-tion—Inventory System with a Manufacturer That Subcontracts. Operations Research, 52, 765-784. https://doi.org/10.1287/opre.1040.0135
[9]
Allon, G. and Van Mieghem, J.A. (2010) Global Dual Sourcing: Tailored Base-Surge Allocation to Near- and Offshore Production. Management Science, 56, 110-124. https://doi.org/10.1287/mnsc.1090.1099
[10]
Allen, S.G. and d’Esppo, D.A. (1968) An Ordering Policy for Stock Items When Delivery Can Be Expedited. Operations Research, 16, 880-883. https://doi.org/10.1287/opre.16.4.880
[11]
Moinzadeh, K. and Schmidt, C.P. (1991) An (S − 1, S) Inventory System with Emergency Orders. Operations Research, 39, 308-321. https://doi.org/10.1287/opre.39.2.308
[12]
Song, J.S. and Zipkin, P. (2009) Inventories with Multiple Supply Sources and Networks of Queues with Overflow Bypasses. Management Science, 55, 362-372. https://doi.org/10.1287/mnsc.1080.0941
[13]
Johansen, S.G. and Thorstenson, A. (1998) An Inventory Model with Poisson Demands and Emergency Orders. International Journal of Production Economics, 56, 275-289. https://doi.org/10.1016/S0925-5273(97)00126-6
[14]
Moinzadeh, K. and Nahmias, S. (1988) A Continuous Review Model for an Inventory System with Two Supply Modes. Management Science, 34, 761-773. https://doi.org/10.1287/mnsc.34.6.761
[15]
Mohebbi, E. and Posner, M.J.M. (1999) A Lost Sales Continuous Review Inventory System with Emergency Ordering. International Journal of Production Economics, 58, 93-112. https://doi.org/10.1016/S0925-5273(98)00208-4
[16]
Duran, A., Gutierrez, G. and Zequeira, R.I. (2004) A Continuous Review Inventory Model with Order Expediting. International Journal of Production Economics, 87, 157-169. https://doi.org/10.1016/S0925-5273(03)00100-2
[17]
Axsäter, S. (2007) A Heuristic for Triggering Emergency Orders in an Inventory System. European Journal of Operational Research, 176, 880-891. https://doi.org/10.1016/j.ejor.2005.09.002
[18]
Cinlar, E. (1975) Introduction to Stochastic Processes. Prentice Hall, Englewood Cliffs, NJ.