Asymptotic Optimality of Tailored Base-Surge Policies in Dual-Sourcing Inventory Systems

Published Online:https://doi.org/10.1287/mnsc.2016.2607

References

  • Allon G, Van Mieghem JA (2010) Global dual sourcing: Tailored base-surge allocation to near- and offshore production. Management Sci. 56(1):110–124.LinkGoogle Scholar
  • Angelus A, Özer Ö (2016) Knowledge you can act on: Optimal policies for assembly systems with expediting and advance demand information. Oper. Res. 64(6):1338–1371.LinkGoogle Scholar
  • Arapostathis A, Borkar VS, Fernández-Gaucherand E, Ghosh MK, Marcus SI (1993) Discrete time controlled Markov processes with average cost criterion: A survey. SIAM J. Control Optim. 31:282–344.CrossrefGoogle Scholar
  • Asmussen S (2003) Applied Probability and Queues, 2nd ed. (Springer, New York).Google Scholar
  • Barankin EW (1961) A delivery-lag inventory model with an emergency provision. Naval Res. Logist. Quart. 8(3):285–311.CrossrefGoogle Scholar
  • Bertsimas D, Iancu DA, Parrilo PA (2010) Optimality of affine policies in multistage robust optimization. Math. Oper. Res. 35(2):363–394.LinkGoogle Scholar
  • Billingsley P (1999) Convergence of Probability Measures (Wiley, New York).CrossrefGoogle Scholar
  • Boute RN, Van Mieghem JA (2015) Global dual sourcing and order smoothing: The impact of capacity and leadtimes. Management Sci. 61(9):2080–2099.LinkGoogle Scholar
  • Chen Y, Xue W, Yang J (2013) Optimal inventory policy in the presence of a long-term supplier and a spot market. Oper. Res. 61(1):88–97.LinkGoogle Scholar
  • Daniel KH (1963) A delivery-lag inventory model with emergency order. Scarf H, Gilford D, Shelly M, eds. Multistage Inventory Models and Techniques, Chap. 2 (Stanford University Press, Stanford, CA).Google Scholar
  • DeCroix G, Song JS, Zipkin P (2005) A series system with returns: Stationary analysis. Oper. Res. 53(2):350–362.LinkGoogle Scholar
  • Erdos P, Kac M (1946) On certain limit theorems of the theory of probability. Bull. Amer. Math. Soc. 52(4):292–302.CrossrefGoogle Scholar
  • Feinberg EA (2011) Total expected discounted reward MDPs: Existence of optimal policies. Cochran JJ, Cox, Jr. LA, Keskinocak P, Kharoufeh JP, Smith JC, eds. Wiley Encyclopedia of Operations Research and Management Science (Wiley, Hoboken, NJ).CrossrefGoogle Scholar
  • Feng Q, Sethi S, Yan H, Zhang H (2006) Are base-stock policies optimal in inventory problems with multiple delivery modes? Oper. Res. 54(4):801–807.LinkGoogle Scholar
  • Filar J (2007) Controlled Markov Chains, Graphs and Hamiltonicity (Now Publishers, Boston).Google Scholar
  • Fleischmann M, Kuik R (2003) An optimal inventory control with independent stochastic item returns. Eur. J. Oper. Res. 151(1):25–37.CrossrefGoogle Scholar
  • Folland GB (1999) Real Analysis: Modern Techniques and Their Applications, 2nd ed. (Wiley, Hoboken, NJ).Google Scholar
  • Fox EJ, Metters R, Semple J (2006) Optimal inventory policy with two suppliers. Oper Res. 54(2):389–393.LinkGoogle Scholar
  • Fukuda Y (1964) Optimal policies for the inventory problem with negotiable leadtime. Management Sci. 10(4):690–708.LinkGoogle Scholar
  • Goldberg DA, Katz-Rogozhnikov DA, Lu Y, Sharma M, Squillante MS (2016) Asymptotic optimality of constant-order policies for lost sales inventory models with large lead times. Math. Oper. Res. 41(3):898–913.LinkGoogle Scholar
  • Gong X, Chao X, Zheng S (2014) Dynamic pricing and inventory management with dual suppliers of different lead times and disruption risks. Production Oper. Management 23(12):2058–2074.CrossrefGoogle Scholar
  • Heyman D, Sobel M (1984) Stochastic Models in Operations Research, Vol. II (McGraw-Hill, New York).Google Scholar
  • Hordijk A, Tijms H (1974) Convergence results and approximations for optimal (s, S) policies. Management Sci. 20(11):1432–1438.LinkGoogle Scholar
  • Hordijk A, Tijms H (1975) On a conjecture of Iglehart. Management Sci. 21(11):1342–1345.LinkGoogle Scholar
  • Hua Z, Yu Y, Zhang W, Xu X (2015) Structural properties of the optimal policy for dual-sourcing systems with general lead times. IIE Trans. 47(8):841–850.CrossrefGoogle Scholar
  • Huggins EL, Olsen TL (2010) Inventory control with generalized expediting. Oper. Res. 58(5):1414–1426.LinkGoogle Scholar
  • Huh WT, Janakiraman G (2010) On the optimal policy structure in serial inventory systems with lost sales. Oper. Res. 58(2):486–491.LinkGoogle Scholar
  • Huh WT, Janakiraman G, Nagarajan M (2011) Average cost single-stage inventory models: An analysis using a vanishing discount approach. Oper. Res. 59(1):143–155.LinkGoogle Scholar
  • Iglehart DL (1963) Optimality of (s, S) policies in the infinite horizon dynamic inventory problem. Management Sci. 9(2):259–267.LinkGoogle Scholar
  • Janakiraman G, Seshadri S, Sheopuri A (2015) Analysis of tailored base-surge policies in dual sourcing inventory systems. Management Sci. 61(7):1547–1561.LinkGoogle Scholar
  • Janssen F, De Kok T (1999) A two-supplier inventory model. Internat. J. Production Econom. 59(1–3):395–403.CrossrefGoogle Scholar
  • Karlin S, Scarf H (1958) Inventory models of the Arrow-Harris-Marschak type with time lag. Arrow K, Karlin S, Scarf H, eds. Studies in the Mathematical Theory of Inventory and Production (Stanford University Press, Stanford, CA), 155–178.Google Scholar
  • Kelleher K (2003) Why FedEx is gaining ground. Business 2.0 (October 1):56–57.Google Scholar
  • Kingman JFC (1962) Some inequalities for the queue GI/G/1. Biometrika 49(3/4):315–324.CrossrefGoogle Scholar
  • Klosterhalfen S, Kiesmüller G, Minner S (2011) A comparison of the constant-order and dual-index policy for dual sourcing. Internat. J. Production Econom. 133(1):302–311.CrossrefGoogle Scholar
  • Korolev VY, Shevtsova IG (2010) On the upper bound for the absolute constant in the Berry–Esseen inequality. Theory Probab. Appl. 54(4):638–658.CrossrefGoogle Scholar
  • Levi R, Janakiraman G, Nagarajan M (2008) A 2-approximation algorithm for stochastic inventory control models with lost sales. Math. Oper. Res. 33(2):351–374.LinkGoogle Scholar
  • Minner S (2003) Multiple-supplier inventory models in supply chain management: A review. Internat. J. Production Econom. 81–82:265–279.CrossrefGoogle Scholar
  • Morton TE (1969) Bounds on the solution of the lagged optimal inventory equation with no demand backlogging and proportional costs. SIAM Rev. 11(4):572–596.CrossrefGoogle Scholar
  • Neuts F (1964) An inventory model with optimal time lag. SIAM J. Appl. Math. 12(1):179–185.CrossrefGoogle Scholar
  • Parker RP, Kapuscinski R (2004) Optimal policies for a capacitated two-echelon inventory system. Oper. Res. 52(5):739–755.LinkGoogle Scholar
  • Rao U, Scheller-Wolf A, Tayur S (2000) Development of a rapid-response supply chain at Caterpillar. Oper. Res. 48(2):189–204.LinkGoogle Scholar
  • Rosenshine M, Obee D (1976) Analysis of a standing order inventory system with emergency orders. Oper. Res. 24(6):1143–1155.LinkGoogle Scholar
  • Rossi R, Rijpkema WA, van der Vorst JGAJ (2012) The impact of dual sourcing on food supply chain networks: The case of Egyptian strawberries. Proc. 11th Wageningen Internat. Conf. Chain and Network Management, Wageningen, Netherlands.Google Scholar
  • Scarf H (1960) The optimality of (s, S) policies in the dynamic inventory problem. Mathematical Methods in the Social Sciences (Stanford University Press, Stanford, CA), 196–202.Google Scholar
  • Schäl M (1993) Average optimality in dynamic programming with general state space. Math. Oper. Res. 18(1):163–172.LinkGoogle Scholar
  • Scheller-Wolf A, Veeraraghavan S, van Houtum G-J (2008) Effective dual sourcing with a single index policy. Working paper, Carnegie Mellon University, Pittsburgh.Google Scholar
  • Sennott LI (1989) Average cost optimal stationary policies in infinite state markov decision processes with unbounded costs. Oper. Res. 37(4):626–633.LinkGoogle Scholar
  • Sheopuri A, Janakiraman G, Seshadri S (2010) New policies for the stochastic inventory control problem with two supply sources. Oper. Res. 58(3):734–745.LinkGoogle Scholar
  • Song J, Zipkin P (2009) Inventories with multiple supply sources and networks of queues with overflow bypasses. Management Sci. 55(3):362–372.LinkGoogle Scholar
  • Spitzer F (1956) A combinatorial lemma and its application to probability theory. Trans. Amer. Math. Soc. 82(2):323–339.CrossrefGoogle Scholar
  • Thorisson H (1992) Construction of a stationary regenerative process. Stochastic Processes and Their Appl. 42(2):237–253.CrossrefGoogle Scholar
  • Van Mieghem JA (2008) Operations Strategy: Principles and Practice (Dynamic Ideas, Belmont, MA).Google Scholar
  • Veeraraghavan S, Scheller-Wolf A (2008) Now or later: Dual index policies for capacitated dual sourcing systems. Oper. Res. 56(4):850–864.LinkGoogle Scholar
  • Whittmore AS, Saunders SC (1977) Optimal inventory under stochastic demand with two supply options. SIAM J. Appl. Math. 32(2):293–305.CrossrefGoogle Scholar
  • Xin L, Goldberg DA (2016) Optimality gap of constant-order policies decays exponentially in the lead time for lost sales models. Oper. Res. 64(6):1556–1565.LinkGoogle Scholar
  • Zhou SX, Tao Z, Chao X (2011) Optimal control of inventory systems with multiple types of remanufacturable products. Manufacturing Service Oper. Management 13(1):20–34.LinkGoogle Scholar
  • Zipkin P (2000) Foundations of Inventory Management, Vol. 2 (McGraw-Hill, New York).Google Scholar
  • Zipkin P (2008a) Old and new methods for lost-sales inventory systems. Oper. Res. 56(5):1256–1263.LinkGoogle Scholar
  • Zipkin P (2008b) On the structure of lost-sales inventory models. Oper. Res. 56(4):937–944.LinkGoogle Scholar
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