Dynamic Control of a Make-to-Order System Under Model Uncertainty

Published Online:https://doi.org/10.1287/mnsc.2023.01820

References

  • Altman E (1999) Constrained Markov Decision Processes: Stochastic Modeling (Routledge, New York).Google Scholar
  • Ata B (2006) Dynamic control of a multiclass queue with thin arrival streams. Oper. Res. 54(5):876–892.LinkGoogle Scholar
  • Ata B, Barjesteh N (2023) An approximate analysis of dynamic pricing, outsourcing, and scheduling policies for a multiclass make-to-stock queue in the heavy traffic regime. Oper. Res. 71(1):341–357.LinkGoogle Scholar
  • Ata B, Olsen TL (2013) Congestion-based leadtime quotation and pricing for revenue maximization with heterogeneous customers. Queueing Systems 73(1):35–78.CrossrefGoogle Scholar
  • Ata B, Harrison J, Shepp L (2005) Drift rate control of a Brownian processing system. Ann. Appl. Probab. 15(2):1145–1160.CrossrefGoogle Scholar
  • Atar R, Castiel E, Shadmi Y (2025) Scheduling in the high-uncertainty heavy traffic regime. Math. Oper. Res. 50(1):107–140.LinkGoogle Scholar
  • Bandi C, Trichakis N, Vayanos P (2019) Robust multiclass queuing theory for wait time estimation in resource allocation systems. Management Sci. 65(1):152–187.LinkGoogle Scholar
  • Bertsekas D (1995) Dynamic Programming and Optimal Control, vol. 2 (Athena Scientific, Belmont, MA).Google Scholar
  • Bertsimas D, Brown DB, Caramanis C (2011) Theory and applications of robust optimization. SIAM Rev. 53(3):464–501.CrossrefGoogle Scholar
  • Bhatnagar S, Borkar VS (1995) A convex analytic framework for ergodic control of semi-Markov processes. Math. Oper. Res. 20(4):923–936.LinkGoogle Scholar
  • Bradley JR, Glynn PW (2002) Managing capacity and inventory jointly in manufacturing systems. Management Sci. 48(2):273–288.LinkGoogle Scholar
  • Cao P, Yao D (2018) Optimal drift rate control and impulse control for a stochastic inventory/production system. SIAM J. Control Optim. 56(3):1856–1883.CrossrefGoogle Scholar
  • Çelik S, Maglaras C (2008) Dynamic pricing and lead-time quotation for a multiclass make-to-order queue. Management Sci. 54(6):1132–1146.LinkGoogle Scholar
  • Chai S, Sun X, Abouee-Mehrizi H (2023) Customer scheduling in large service systems under model uncertainty. Oper. Res. 73(2):949–968.LinkGoogle Scholar
  • Chen H, Shanthikumar JG (1994) Fluid limits and diffusion approximations for networks of multi-server queues in heavy traffic. Discrete Event Dynamic Systems 4:269–291.CrossrefGoogle Scholar
  • Chen L, Cui Y, Lee HL (2021) Retailing with 3D printing. Production Oper. Management 30(7):1986–2007.CrossrefGoogle Scholar
  • Cohen A (2019) Brownian control problems for a multiclass M/M/1 queueing problem with model uncertainty. Math. Oper. Res. 44(2):739–766.LinkGoogle Scholar
  • Cox DR, Smith W (1991) Queues, vol. 2 (CRC Press, New York).Google Scholar
  • Dai J, Yao D (2013a) Brownian inventory models with convex holding cost, part 1: Average-optimal controls. Stochastic Systems 3(2):442–499.LinkGoogle Scholar
  • Dai J, Yao D (2013b) Brownian inventory models with convex holding cost, part 2: Discount-optimal controls. Stochastic Systems 3(2):500–573.LinkGoogle Scholar
  • Hansen LP, Sargent TJ (2001) Robust control and model uncertainty. Amer. Econom. Rev. 91(2):60–66.CrossrefGoogle Scholar
  • Hansen LP, Sargent TJ, Turmuhambetova G, Williams N (2006) Robust control and model misspecification. J. Econom. Theory 128(1):45–90.CrossrefGoogle Scholar
  • Harrison JM (1988) Brownian models of queueing networks with heterogeneous customer populations. Stochastic Differential Systems, Stochastic Control Theory and Applications (Springer, New York), 147–186.CrossrefGoogle Scholar
  • Harrison JM, Sellke TM, Taylor AJ (1983) Impulse control of Brownian motion. Math. Oper. Res. 8(3):454–466.LinkGoogle Scholar
  • Huang J, Carmeli B, Mandelbaum A (2015) Control of patient flow in emergency departments, or multiclass queues with deadlines and feedback. Oper. Res. 63(4):892–908.LinkGoogle Scholar
  • Jeanblanc M, Yor M, Chesney M (2009) Mathematical Methods for Financial Markets (Springer Science & Business Media, London).CrossrefGoogle Scholar
  • Kim MJ (2016) Robust control of partially observable failing systems. Oper. Res. 64(4):999–1014.LinkGoogle Scholar
  • Kim J, Ward AR (2013) Dynamic scheduling of a GI/GI/1+GI queue with multiple customer classes. Queueing Systems 75(2–4):339–384.CrossrefGoogle Scholar
  • Lim AE, Shanthikumar JG (2007) Relative entropy, exponential utility, and robust dynamic pricing. Oper. Res. 55(2):198–214.LinkGoogle Scholar
  • Liu W, Sun X (2022) Energy-aware and delay-sensitive management of a drone delivery system. Manufacturing Service Oper. Management 24(3):1294–1310.LinkGoogle Scholar
  • Nadar E, Akcay A, Akan M, Scheller-Wolf A (2018) The benefits of state aggregation with extreme-point weighting for assemble-to-order systems. Oper. Res. 66(4):1040–1057.LinkGoogle Scholar
  • Ormeci M, Dai J, Vate JV (2008) Impulse control of Brownian motion: The constrained average cost case. Oper. Res. 56(3):618–629.LinkGoogle Scholar
  • Pham T, Zhang J (2014) Two person zero-sum game in weak formulation and path dependent Bellman–Isaacs equation. SIAM J. Control Optim. 52(4):2090–2121.CrossrefGoogle Scholar
  • Rahimian H, Mehrotra S (2019) Distributionally robust optimization: A review. Preprint, submitted August 13, https://arxiv.org/abs/1908.05659.Google Scholar
  • Rubino M, Ata B (2009) Dynamic control of a make-to-order, parallel-server system with cancellations. Oper. Res. 57(1):94–108.LinkGoogle Scholar
  • Spall JC (2005) Introduction to Stochastic Search and Optimization: Estimation, Simulation, and Control, vol. 65 (John Wiley & Sons, Hoboken, NJ).Google Scholar
  • Sun J, Van Mieghem JA (2019) Robust dual sourcing inventory management: Optimality of capped dual index policies and smoothing. Manufacturing Service Oper. Management 21(4):912–931.LinkGoogle Scholar
  • Sun X, Chai S, Paul AA, Zhu L (2024) Enhancing make-to-order manufacturing agility: When flexible capacity meets dynamic pricing. Production Oper. Management 33(6):1354–1372.CrossrefGoogle Scholar
  • Van Erven T, Harremos P (2014) Rényi divergence and Kullback-Leibler divergence. IEEE Trans. Inform. Theory 60(7):3797–3820.CrossrefGoogle Scholar
  • Van Mieghem JA (1995) Dynamic scheduling with convex delay costs: The generalized cμ rule. Ann. Appl. Probab. 5(3):809–833.CrossrefGoogle Scholar
  • Whitt W (2002) Stochastic-Process Limits: An Introduction to Stochastic-Process Limits and Their Application to Queues (Springer, New York).CrossrefGoogle Scholar
  • Wu J, Chao X (2014) Optimal control of a Brownian production/inventory system with average cost criterion. Math. Oper. Res. 39(1):163–189.LinkGoogle Scholar
  • Xu H, Caramanis C, Mannor S (2010) Robust regression and lasso. IEEE Trans. Inform. Theory 56(7):3561–3574.Google Scholar
  • Yao D (2017) Joint pricing and inventory control for a stochastic inventory system with Brownian motion demand. IISE Trans. 49(12):1101–1111.CrossrefGoogle Scholar
  • Yao D, Chao X, Wu J (2015) Optimal control policy for a Brownian inventory system with concave ordering cost. J. Appl. Probab. 52(4):909–925.CrossrefGoogle Scholar
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