Preservation of Structural Properties in Optimization with Decisions Truncated by Random Variables and Its Applications

Published Online:https://doi.org/10.1287/opre.2017.1684

References

  • Barankin EW (1961) A delivery-lag inventory model with an emergency provision (the one-period case). Naval Res. Logist. Quart. 8(3):258–311.CrossrefGoogle Scholar
  • Bollapragada R, Rao US, Zhang J (2004) Managing inventory and supply performance in assembly systems with random capacity and demand. Management Sci. 50(12):1729–1743.LinkGoogle Scholar
  • Brumelle SL, Mcgill JI (1993) Airline seat allocation with multiple nested fare classes. Oper. Res. 41(1):127–137.LinkGoogle Scholar
  • Chen L, Homem-de-Mello T (2010) Re-solving stochastic programming models for airline revenue managment. Ann Oper. Res. 177(1):91–114.CrossrefGoogle Scholar
  • Chen W, Feng Q, Seshadri S (2013) Sourcing from suppliers with random yield for price-dependent demand. Ann. Oper. Res. 208(1):557–579.CrossrefGoogle Scholar
  • Chen X, Gao X, Hu Z (2015) A new approach to two-location joint inventory and transshipment control via L♮-convexity. Oper. Res. Lett. 43(1):65–68.CrossrefGoogle Scholar
  • Chen X, Hu P, He S (2013) Technical note—Preservation of supermodularity in parametric optimization problems with nonlattice structures. Oper. Res. 61(5):1166–1173.LinkGoogle Scholar
  • Chen X, Pang Z, Pan L (2014) Coordinating inventory control and pricing strategies for perishable products. Oper. Res. 62(2):284–300.LinkGoogle Scholar
  • Ciarallo FW, Akella R, Morton TE (1994) A periodic review, production planning model with uncertain capacity and uncertain demand: Optimality of extended myopic policies. Management Sci. 40(3):320–332.LinkGoogle Scholar
  • Cooper W, Homem-de-Mello T (2007) Some decomposition methods for revenue management. Transportation Sci. 41(3):332–353.LinkGoogle Scholar
  • Daniel K (1963) A delivery-lag inventory model with emergency. Scarf H, Gilford D, Shelly M, eds. Multistage Inventory Models and Techniques (Stanford University Press, Stanford, CA), 32–46.Google Scholar
  • Demirel S, Duenyas I, Kapuscinski R (2015) Production and inventory control for a make-to-stock/calibrate-to-stock system with dediated shared resources. Oper. Res. 63(4):823–839.LinkGoogle Scholar
  • Federgruen A, Yang N (2008) Selecting a portfolio of suppliers under demand and supply risks. Oper. Res. 56(4):916–936.LinkGoogle Scholar
  • Federgruen A, Yang N (2011) Procurement strategies with unreliable suppliers. Oper. Res. 59(4):1033–1039.LinkGoogle Scholar
  • Feng Q (2010) Integrating dynamic pricing and replenishment decisions under supply capacity uncertainty. Management Sci. 56(12):2154–2172.LinkGoogle Scholar
  • Feng Q, Shanthikumar G (2018) Supply and demand functions in inventory models. Oper. Res. 66(1):77–91.LinkGoogle Scholar
  • Feng Q, Shi R (2012) Sourcing from multiple suppliers for price-dependent demands. Production Oper. Management 21(3):547–563.CrossrefGoogle Scholar
  • Fukuda Y (1964) Optimal policies for the inventory problem with negotiable leadtime. Management Sci. 10(4):690–708.LinkGoogle Scholar
  • Gong X, Chao X, Zheng S (2014) Dynamic pricing and inventory management with dual suppliers of different leadtimes and disruption risks. Production Oper. Management 23(12):2058–2074.CrossrefGoogle Scholar
  • Henig M, Gerchak Y (1990) The structure of periodic review policies in the presence of random yield. Oper. Res. 38(4):634–643.LinkGoogle Scholar
  • Hu X, Duenyas I, Kapuscinski R (2008) Optimal joint inventory and transshipment control under uncertain capacity. Oper. Res. 56(4):881–897.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
  • Huh W, Janakiraman G (2010) On the optimal policy structure in serial inventory systems with lost sales. Oper. Res. 58(2):481–491.LinkGoogle Scholar
  • Lu Y, Song JS (2005) Order-based cost optimization in assemble-to-order systems. Oper. Res. 53(1):151–169.LinkGoogle Scholar
  • Möller A, Römisch W, Weber K (2008) Airline network revenue management by multistage stochastic programming. Computational Management Sci. 5(4):355–377.CrossrefGoogle Scholar
  • Murota K (1998) Discrete convex analysis. Math. Programming 83(1–3):313–371.CrossrefGoogle Scholar
  • Murota K (2003) Discrete Convex Analysis, SIAM Monographs on Discrete Mathematics and Applications (SIAM, Philadelphia).CrossrefGoogle Scholar
  • Murota K (2009) Recent developments in discrete convex analysis. Cook W, Lovasz L, Vygen J, eds. Research Trends in Combinatorial Optimization, Bonn 2008, Chap. 11 (Springer, Berlin),219–260.CrossrefGoogle Scholar
  • Nadar E, Akan M, Sheller-Wolf A (2014) Optimal structural results for assemble-to-order generalized M-systems. Oper. Res. 62(3): 571–579.LinkGoogle Scholar
  • Pang Z, Chen F, Feng Y (2012) A note on the structure of joint inventory-pricing control with leadtimes. Oper. Res. 60(3):581–587.LinkGoogle Scholar
  • Robinson L (1995) Optimal and approximate control policies for airline booking with sequantial nonmonotomic fare classes. Oper. Res. 43(2):252–263.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
  • Simchi-Levi D, Chen X, Bramel J (2014) The Logic of Logistics: Theory, Algorithms, and Applications for Logistics Management, 3rd ed. (Springer, New York).CrossrefGoogle Scholar
  • Song JS, Zipkin P (2003) Supply chain operations: Assemble-to-order systems. de Kok T, Graves S, eds. Supply Chain Management, Handbooks in Operations Research and Management Science, Vol. 30 (North-Holland, Amsterdam), 561–596.CrossrefGoogle Scholar
  • Talluri KT, van Ryzin GJ (2005) The Theory and Practice of Revenue Management, International Series in Operations Research and Management Science, Vol. 68 (Springer, New York).CrossrefGoogle Scholar
  • Topkis DM (1998) Supermodularity and Complementarity (Princeton University Press, Princeton, NJ).CrossrefGoogle Scholar
  • Van Mieghem JA (2008) Operations Strategy: Principles and Practice (Dynamic Ideas, Belmont, MA), 230–232.Google Scholar
  • Veeraraghavan S, Scheller-Wolf AA (2006) Now or later: A simple policy for effective dual sourcing in capacitated systems. Oper. Res. 56(4):850–864.LinkGoogle Scholar
  • Wang YZ, Gerchak Y (1996) Periodic review production models with variable capacity, random yield, and uncertain demand. Management Sci. 42(1):130–137.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
  • Zǎlinescu C (2002) Convex Analysis in General Vector Spaces (World Scientisfic, Singapore).CrossrefGoogle Scholar
  • Zhou X, Chao X (2014) Dynamic pricing and inventory management with regular and expedited supplies. Production Oper. Management 23(1):65–80.CrossrefGoogle Scholar
  • Zipkin P (2008) On the structure of lost-sales inventory models. Oper. Res. 56(4):937–944.LinkGoogle Scholar
INFORMS site uses cookies to store information on your computer. Some are essential to make our site work; Others help us improve the user experience. By using this site, you consent to the placement of these cookies. Please read our Privacy Statement to learn more.