Optimal Allocation of Limited Inventory Among Multiclass Customers with Finite Populations

References

• Alagoz O, Maillart LM, Schaefer AJ, Roberts MS (2007) Determining the acceptance of cadaveric livers using an implicit model of the waiting list. Oper. Res. 55(1):24–36.Link, Google Scholar
• Belobaba PP (1989) Application of a probabilistic decision model to airline seat inventory control. Oper. Res. 37(2):183–197.Link, Google Scholar
• Berenguer G, Shen ZJ (2020) Challenges and strategies in managing nonprofit operations: An operations management perspective. Manufacturing Service Oper. Management 22(5):888–905.Link, Google Scholar
• Bernstein F, Kök AG, Xie L (2015) Dynamic assortment customization with limited inventories. Manufacturing Service Oper. Management 17(4):538–553.Link, Google Scholar
• Bertsimas D, Farias VF, Trichakis N (2013) Fairness, efficiency, and flexibility in organ allocation for kidney transplantation. Oper. Res. 61(1):73–87.Link, Google Scholar
• Chao X, Liu L, Zheng S (2003) Resource allocation in multisite service systems with intersite customer flows. Management Sci. 49(12):1739–1752.Link, Google Scholar
• Chen X, Li M, Simchi-Levi D, Zhao T (2020) Allocation of COVID-19 vaccines under limited supply. Preprint, submitted September 26, https://www.medrxiv.org/content/early/2020/09/26/2020.08.23.20179820.Google Scholar
• Deo S, Sohoni M (2015) Optimal decentralization of early infant diagnosis of HIV in resource-limited settings. Manufacturing Service Oper. Management 17(2):191–207.Link, Google Scholar
• Deshpande V, Cohen MA, Donohue K (2003) A threshold inventory rationing policy for service-differentiated demand classes. Management Sci. 49(6):683–703.Link, Google Scholar
• de Véricourt F, Karaesmen F, Dallery Y (2002) Optimal stock allocation for a capacitated supply system. Management Sci. 48(11):1486–1501.Link, Google Scholar
• Duijzer LE, van Jaarsveld WL, Wallinga J, Dekker R (2018) Dose-optimal vaccine allocation over multiple populations. Production Oper. Management. 27(1):143–159.Crossref, Google Scholar
• Enayati S, Özaltın OY (2020) Optimal influenza vaccine distribution with equity. Eur. J. Oper. Res. 283(2):714–725.Crossref, Google Scholar
• Enders P, Adan I, Scheller-Wolf A, Van Houtum GJ (2014) Inventory rationing for a system with heterogeneous customer classes. Flexible Services Manufacturing J. 26(3):344–386. Google Scholar
• Gayon JP, de Véricourt F, Karaesmen F (2009) Stock rationing in an M/Er/1 multi-class make-to-stock queue with backorders. IIE Trans. 41(12):1096–1109.Crossref, Google Scholar
• Ha AY (1997) Stock-rationing policy for a make-to-stock production system with two priority classes and backordering. Naval Res. Logist. 44(5):457–472.Crossref, Google Scholar
• Huh WT, Liu N, Truong VA (2013) Multiresource allocation scheduling in dynamic environments. Manufacturing Service Oper. Management 15(2):280–291.Link, Google Scholar
• Kurtz TG (1970) Solutions of ordinary differential equations as limits of pure jump Markov processes. J. Appl. Probab. 7(1):49–58.Crossref, Google Scholar
• Lautenbacher CJ, Stidham S Jr (1999) The underlying Markov decision process in the single-leg airline yield-management problem. Transportation Sci. 33(2):136–146.Link, Google Scholar
• Lee TC, Hersh M (1993) A model for dynamic airline seat inventory control with multiple seat bookings. Transportation Sci. 27(3):252–265.Link, Google Scholar
• Ma Y, Wang T, Zheng H (2023) On fairness and efficiency in nonprofit operations: Dynamic resource allocations. Production Oper. Management 32(6):1778–1792.Crossref, Google Scholar
• Natarajan KV, Swaminathan JM (2017) Multi-treatment inventory allocation in humanitarian health settings under funding constraints. Production Oper. Management 26(6):1015–1034.Crossref, Google Scholar
• Puterman ML (2014) Markov Decision Processes: Discrete Stochastic Dynamic Programming (John Wiley & Sons, Hoboken, NJ).Google Scholar
• Samii AB, Pibernik R, Yadav P, Vereecke A (2012) Reservation and allocation policies for influenza vaccines. Eur. J. Oper. Res. 222(3):495–507.Crossref, Google Scholar
• Sethi SP (2019) Optimal Control Theory: Applications to Management Science and Economics (Springer, Cham, Switzerland).Crossref, Google Scholar
• Talluri KT, Van Ryzin GJ (2006) The Theory and Practice of Revenue Management, International Series in Operations Research & Management Science, vol. 68 (Springer Science & Business Media, New York).Google Scholar
• Wollmer RD (1992) An airline seat management model for a single leg route when lower fare classes book first. Oper. Res. 40(1):26–37.Link, Google Scholar
• Yu Y, Chen X, Zhang F (2015) Dynamic capacity management with general upgrading. Oper. Res. 63(6):1372–1389.Link, Google Scholar