Technical Note—Constant-Order Policies for Lost-Sales Inventory Models with Random Supply Functions: Asymptotics and Heuristic
Published Online:26 Jun 2020https://doi.org/10.1287/opre.2019.1971
References
- (2015) Base-stock policies for lost-sales models: Aggregation and asymptotics. Accessed September 18, 2017, https://pure.tue.nl/ws/files/10242908/wp_491.pdf.Google Scholar
- (2003) Applied Probability and Queues, 2nd ed. (Springer, Berlin).Google Scholar
- (2011) Lost-sales inventory theory: A review. Eur. J. Oper. Res. 215(1):1–13.Crossref, Google Scholar
- (1999) Myopic heuristics for the random yield problem. Oper. Res. 47(5):713–722.Link, Google Scholar
- (2008) Joint replenishment and pricing decisions in inventory systems with stochastically dependent supply capacity. Eur. J. Oper. Res. 191(1):142–155.Crossref, Google Scholar
- (2018) Preservation of structural properties in optimization with decisions truncated by random variables and its applications. Oper. Res. 66(2):340–357.Link, Google Scholar
- (2019) Asymptotic optimality of constant-order policies in joint pricing and inventory control models. Preprint, submitted May 9, https://dx.doi.org/10.2139/ssrn.3375203.Google Scholar
- (1994) A periodic review, production planning model with uncertain capacity and uncertain demand – optimality of extended myopic policies. Management Sci. 40(3):320–332.Link, Google Scholar
- (2007) A newsvendor’s procurement problem when suppliers are unreliable. Manufacturing Service Oper. Management 9(1):9–32.Link, Google Scholar
- (2010) Integrating dynamic pricing and replenishment decisions under supply capacity uncertainty. Management Sci. 56(12):2154–2172.Link, Google Scholar
- (2018) Supply and demand functions in inventory models. Oper. Res. 66(1):77–91.Link, Google Scholar
- (1999) Real Analysis: Modern Techniques and Their Applications, 2nd ed. (John Wiley & Sons, New York).Google Scholar
- (2016) Asymptotic optimality of constant-order policies for lost sales inventory models with large lead times. Math. Oper. Res. 41(3):898–913.Link, Google Scholar
- (1990) The structure of periodic review policies in the presence of random yield. Oper. Res. 38(4):634–643.Link, Google Scholar
- (2010) Linear inflation rules for the random yield problem: Analysis and computations. Oper. Res. 58(1):244–251.Link, Google Scholar
- (2011) Average cost single-stage inventory models: An analysis using a vanishing discount approach. Oper. Res. 59(1):143–155.Link, Google Scholar
- (2009) Asymptotic optimality of order-up-to policies in lost sales inventory systems. Management Sci. 55(3):404–420.Link, Google Scholar
- (2015) Exact and heuristic linear-inflation policies for an inventory model with random yield and arbitrary lead times. Eur. J. Oper. Res. 245(1):109–120.Crossref, Google Scholar
- (2004) Inventory control in directed networks: a note on linear costs. Oper. Res. 52(3):491–495.Link, Google Scholar
- (2004) Lost-sales problems with stochastic lead times: Convexity results for base-stock policies. Oper. Res. 52(5):795–803.Link, Google Scholar
- (1962) Some inequalities for the queue GI/G/1. Biometrika 49(3-4):315–324.Crossref, Google Scholar
- (1968) Some inequalities in queueing. Oper. Res. 16(3):651–668.Link, Google Scholar
- (2004) A new and simple policy for the continuous review lost sales inventory model. Working paper, Bell Labs, Lucent Technologies, Murray Hill, NJ.Google Scholar
- (2006) Stochastic Orders, 1st ed. (Springer, New York).Google Scholar
- (1996) Periodic review production models with variable capacity, random yield, and uncertain demand. Management Sci. 42(1):130–137.Link, Google Scholar
- (2018) On a deterministic approximation of inventory systems with sequential probabilistic service level constraints. Preprint, submitted February 12, https://dx.doi.org/10.2139/ssrn.3114348.Google Scholar
- (2019) Understanding the performance of capped base-stock policies in lost-sales inventory models. Preprint, submitted April 10, https://dx.doi.org/10.2139/ssrn.3357241.Google Scholar
- (2016) Optimality gap of constant-order policies decays exponentially in the lead time for lost sales models. Oper. Res. 64(6):1556–1565.Link, Google Scholar
- (2018) Asymptotic optimality of tailored base-surge policies in dual-sourcing inventory systems. Management Sci. 64(1):437–452.Link, Google Scholar
- (2017) On the performance of tailored base-surge policies: Theory and application at walmart.com. Preprint, submitted December 20, https://ssrn.com/abstract=3090177.Google Scholar
- (2008) Old and new methods for lost-sales inventory systems. Oper. Res. 56(5):1256–1263.Link, Google Scholar

