Sustainable Inventory with Robust Periodic-Affine Policies and Application to Medical Supply Chains
Published Online:22 May 2019https://doi.org/10.1287/mnsc.2018.3152
References
- (1951) Optimal inventory policy. Econometrica 19(3):250–272.Crossref, Google Scholar
- (2011) A replenishment policy based on joint optimization in a downstream pharmaceutical supply chain: Centralized vs. decentralized replenishment. Internat. J. Adv. Manufacturing Tech. 57(1–4):367–378.Crossref, Google Scholar
- (2012) Tractable stochastic analysis in high dimensions via robust optimization. Math. Programming 134(1):23–70.Crossref, Google Scholar
- (2005) Retailer-supplier flexible commitments contracts: A robust optimization approach. Manufacturing Service Oper. Management 7(3):248–271.Link, Google Scholar
- (2004) Adjustable robust solutions of uncertain linear programs. Math. Programming 99(2):351–376.Crossref, Google Scholar
- (2013) Robust solutions of optimization problems affected by uncertain probabilities. Management Sci. 59(2):341–357.Link, Google Scholar
- (2015) On the performance of affine policies for two-stage adaptive optimization: A geometric perspective. Math. Programming 153(2):577–594.Crossref, Google Scholar
- (2012) On the power and limitations of affine policies in two-stage adaptive optimization. Math. Programming 134(2):491–531.Crossref, Google Scholar
- (2004) The price of robustness. Oper. Res. 52(1):35–53.Link, Google Scholar
- (2006) Robust and data-driven optimization: Modern decision making under uncertainty. Models, Methods, and Applications for Innovative Decision Making, TutORials in Operations Research (INFORMS, Catonsville, MD), 95–122.Link, Google Scholar
- (2018) Robust sample average approximation. Math. Programming 171(1–2):217–282.Crossref, Google Scholar
- (2010) Optimality of affine policies in multistage robust optimization. Math. Oper. Res. 35(2):363–394.Link, Google Scholar
- (2008) Computing robust base-stock levels. Discrete Optim. 5(2):389–414.Crossref, Google Scholar
- (1960) Optimal policies for a multi-echelon inventory problem. Management Sci. 6(4):475–490.Link, Google Scholar
- (2005) Uncertainty and learning in pharmaceutical demand. Econometrica 73(4):1137–1173.Crossref, Google Scholar
- (2010) Distributionally robust optimization under moment uncertainty with application to data-driven problems. Oper. Res. 58(3):595–612.Link, Google Scholar
- (1986) An inventory model with limited production capacity and uncertain demands. I. The average-cost criterion. Math. Oper. Res. 11(2):193–207.Link, Google Scholar
- (1997) Techniques for simulation optimization: An experimental study on an (s,S) inventory system. IIE Trans. 29(3):191–199.Crossref, Google Scholar
- (2005) Simulation optimization: A review, new developments, and applications. Kuhl ME, Steiger NM, Armstrong FB, Joines JA, eds. Proc. 2005 Winter Simulation Conf. (Association for Computing Machinery, New York), 83–95.Crossref, Google Scholar
- (1994) Sample path derivatives for (s, S) inventory systems. Oper. Res. 42(2):351–364.Link, Google Scholar
- (1993) The distribution free newsboy problem: Review and extensions. J. Oper. Res. Soc. 44(8):825–834.Crossref, Google Scholar
- (1995) Sensitivity analysis for base-stock levels in multiechelon production-inventory systems. Management Sci. 41(2):263–281.Link, Google Scholar
- (2000) Optimizing strategic safety-stock placement in supply chains. Manufacturing Service Oper. Management 2(1):68–83.Link, Google Scholar
- (2013) Joint-optimization of inventory policies on a multi-product multi-echelon pharmaceutical system with batching and ordering constraints. Eur. J. Oper. Res. 231(1):98–108.Crossref, Google Scholar
- (2008) A sample-path approach to the optimality of echelon order-up-to policies in serial inventory systems. Oper. Res. Lett. 36(5):547–550.Crossref, Google Scholar
- (1999) Optimal policies and simulation-based optimization for capacitated production inventory systems. Quantitative Models for Supply Chain Management (Springer, New York), 7–40.Crossref, Google Scholar
- (1960) Dynamic inventory policy with varying stochastic demands. Management Sci. 6(3):231–258.Link, Google Scholar
- (1961) Note on minimax regret ordering policy-static and dynamic solutions and a comparison to maximin policy. J. Oper. Res. Soc. Japan 3(4):155–169.Google Scholar
- (2004) Properties of a new parametrization for the control of constrained systems with disturbances. Proc. 2004 Amer. Control Conf., vol. 5 (Institute of Electrical and Electronic Engineers, Piscataway, NJ), 4669–4674.Crossref, Google Scholar
- (2011) Primal and dual linear decision rules in stochastic and robust optimization. Math. Programming 130(1):177–209.Crossref, Google Scholar
- (1990) An analytical theory of multi-echelon production/distribution systems. Statist. Neerlandica 44(3):149–174.Crossref, Google Scholar
- (2003) Approximations of closed-loop minimax mpc. Proc. 42nd IEEE Conf. Decision Control, vol. 2 (Institute of Electrical and Electronic Engineers, Piscataway, NJ), 1438–1442.Crossref, Google Scholar
- (2016) cluster: Cluster analysis basics and extensions. R package version 2.0.5.Google Scholar
- (2018) Data-driven distributionally robust optimization using the Wasserstein metric: Performance guarantees and tractable reformulations. Math. Programming 171(1/2):115–166.Crossref, Google Scholar
- (1978) The nonstationary infinite horizon inventory problem. Management Sci. 24(14):1474–1482.Link, Google Scholar
- (2008) A single-unit decomposition approach to multiechelon inventory systems. Oper. Res. 56(5):1089–1103.Link, Google Scholar
- (2018) Optimization under decision-dependent uncertainty. SIAM J. Optim. 28(2):1773–1795.Crossref, Google Scholar
- (2017) Robust optimization with time-dependent uncertainty in radiation therapy. IISE Trans. Healthcare Systems Engrg. 7(2):81–92.Crossref, Google Scholar
- (2011) Applications of robust optimization to queueing and inventory systems. Unpublished doctoral thesis, Massachusetts Institute of Technology, Cambridge.Google Scholar
- (1989) Optimal inventory policies for assembly systems under random demands. Oper. Res. 37(4):565–579.Link, Google Scholar
- (1958) A min-max solution of an inventory problems. Arrow KJ, Karlin S, Scarf H, eds. Studies in the Mathematical Theory of Inventory and Production (Stanford University Press, Stanford, CA).Google Scholar
- (1960) The optimality of (s,S) policies in the dynamic inventory problem. Arrow KJ, Karlin S, Suppes P, eds. Mathematical Methods in the Social Sciences (Stanford University Press, Stanford, CA).Google Scholar
- (1997) Optimality of (s,S) policies in inventory models with Markovian demand. Oper. Res. 45(6):931–939.Link, Google Scholar
- (2013) Pharmaceutical supply chain and inventory management strategies: Optimization for a pharmaceutical company and a hospital. Oper. Res. Health Care 2(3):52–64.Crossref, Google Scholar
- (2002) Newsvendor networks: Inventory management and capacity investment with discretionary activities. Manufacturing Service Oper. Management 4(4):313–335.Link, Google Scholar
- (2016) Distributionally robust control of constrained stochastic systems. IEEE Trans. Automatic Control 61(2):430–442.Google Scholar
- (2012) How much is it worth? Accessed December 19, 2018, http://www.ncpa.co/pdf/APNOV12-HowMuchWorth.pdf.Google Scholar
- (2016) Value added. Accessed December 19, 2018, http://www.ncpa.co/pdf/webman-pharmacy-valuation-article.pdf.Google Scholar

