On the Value of Risk-Averse Multistage Stochastic Programming in Capacity Planning

References

• Aghezzaf E (2005) Capacity planning and warehouse location in supply chains with uncertain demands. J. Oper. Res. Soc. 56(4):453–462.Crossref, Google Scholar
• Ahmed S (2006) Convexity and decomposition of mean-risk stochastic programs. Math. Programming 106(3):433–446.Crossref, Google Scholar
• Ahmed S, Sahinidis NV (2003) An approximation scheme for stochastic integer programs arising in capacity expansion. Oper. Res. 51(3):461–471.Link, Google Scholar
• Artzner P, Delbaen F, Eber JM, Heath D (1999) Coherent measures of risk. Math. Finance 9(3):203–228.Crossref, Google Scholar
• Basciftci B, Ahmed S, Gebraeel N (2019) Adaptive two-stage stochastic programming with an application to capacity expansion planning. Preprint, submitted June 8, https://arxiv.org/abs/1906.03513.Google Scholar
• Bayram IS, Tajer A, Abdallah M, Qaraqe K (2015) Capacity planning frameworks for electric vehicle charging stations with multiclass customers. IEEE Trans. Smart Grid 6(4):1934–1943.Crossref, Google Scholar
• Berman O, Ganz Z, Wagner JM (1994) A stochastic optimization model for planning capacity expansion in a service industry under uncertain demand. Naval Res. Logist. 41(4):545–564.Crossref, Google Scholar
• BloombergNEF (2021) EV drivers save big when they charge smart. Online (October 26), https://about.bnef.com/blog/ev-drivers-save-big-when-they-charge-smart/.Google Scholar
• Caldwell T (2022) The five pillars of EV charging station maintenance and management. Forbes Online (July 29), https://www.forbes.com/sites/forbestechcouncil/2022/07/29/the-five-pillars-of-ev-charging-station-maintenance-and-management/?sh=5d7ee8d931fa.Google Scholar
• Connect EV (2022) Estimated cost guide to operating and maintaining EV charging stations. evconnect (June 20), https://www.evconnect.com/blog/ev-charging-station-infrastructure-costs.Google Scholar
• Daskin MS (2011) Network and Discrete Location: Models, Algorithms, and Applications (John Wiley & Sons, Hoboken, NJ).Google Scholar
• Davis MH, Dempster M, Sethi S, Vermes D (1987) Optimal capacity expansion under uncertainty. Adv. Appl. Probab. 19(1):156–176.Crossref, Google Scholar
• Ding L, Ahmed S, Shapiro A (2019) A python package for multi-stage stochastic programming. Optimization Online (May 7), https://optimization-online.org/2019/05/7199/.Google Scholar
• Eppen GD, Martin RK, Schrage L (1989) OR practice—A scenario approach to capacity planning. Oper. Res. 37(4):517–527.Link, Google Scholar
• Fine CH, Freund RM (1990) Optimal investment in product-flexible manufacturing capacity. Management Sci. 36(4):449–466.Link, Google Scholar
• Girardeau P, Leclere V, Philpott AB (2014) On the convergence of decomposition methods for multistage stochastic convex programs. Math. Oper. Res. 40(1):130–145.Link, Google Scholar
• Guigues V (2016) Convergence analysis of sampling-based decomposition methods for risk-averse multistage stochastic convex programs. SIAM J. Optim. 26(4):2468–2494.Crossref, Google Scholar
• Homem-de Mello T, Pagnoncelli BK (2016) Risk aversion in multistage stochastic programming: A modeling and algorithmic perspective. Eur. J. Oper. Res. 249(1):188–199.Crossref, Google Scholar
• Hood SJ, Bermon S, Barahona F (2003) Capacity planning under demand uncertainty for semiconductor manufacturing. IEEE Trans. Semiconductor Manufacturing 16(2):273–280.Crossref, Google Scholar
• Huang K, Ahmed S (2009) The value of multistage stochastic programming in capacity planning under uncertainty. Oper. Res. 57(4):893–904.Link, Google Scholar
• Kleywegt AJ, Shapiro A, Homem-de Mello T (2002) The sample average approximation method for stochastic discrete optimization. SIAM J. Optim. 12(2):479–502.Crossref, Google Scholar
• Luss H (1982) Operations research and capacity expansion problems: A survey. Oper. Res. 30(5):907–947.Link, Google Scholar
• Miller N, Ruszczyński A (2011) Risk-averse two-stage stochastic linear programming: Modeling and decomposition. Oper. Res. 59(1):125–132.Link, Google Scholar
• Paraskevopoulos D, Karakitsos E, Rustem B (1991) Robust capacity planning under uncertainty. Management Sci. 37(7):787–800.Link, Google Scholar
• Pereira MV, Pinto LM (1991) Multi-stage stochastic optimization applied to energy planning. Math. Programming 52(1–3):359–375.Crossref, Google Scholar
• Pflug GC, Ruszczyński A (2005) Measuring risk for income streams. Comput. Optim. Appl. 32(1–2):161–178.Crossref, Google Scholar
• Philpott AB, Guan Z (2008) On the convergence of stochastic dual dynamic programming and related methods. Oper. Res. Lett. 36(4):450–455.Crossref, Google Scholar
• Rehman A (2020) The importance of equipment maintenance plan for electrical power systems. AllumiaX (September 28), https://www.allumiax.com/blog/the-importance-of-equipment-maintenance-plan-for-electrical-power-systems.Google Scholar
• Rockafellar RT, Uryasev S (2000) Optimization of conditional value-at-risk. J. Risk 2(3):21–42.Crossref, Google Scholar
• Rockafellar RT, Uryasev S (2002) Conditional value-at-risk for general loss distributions. J. Banking Finance 26(7):1443–1471.Crossref, Google Scholar
• Ruszczyński A (2010) Risk-averse dynamic programming for Markov decision processes. Math. Programming 125(2):235–261.Crossref, Google Scholar
• Sabet E, Yazdani B, Kian R, Galanakis K (2020) A strategic and global manufacturing capacity management optimisation model: A scenario-based multi-stage stochastic programming approach. Omega 93:102026.Crossref, Google Scholar
• Schultz R, Tiedemann S (2006) Conditional value-at-risk in stochastic programs with mixed-integer recourse. Math. Programming 105(2–3):365–386.Crossref, Google Scholar
• Shapiro A (2011) Analysis of stochastic dual dynamic programming method. Eur. J. Oper. Res. 209(1):63–72.Crossref, Google Scholar
• Shapiro A, Dentcheva D, Ruszczyński A (2009) Lectures on Stochastic Programming: Modeling and Theory (SIAM, Philadelphia).Crossref, Google Scholar
• Shapiro A, Tekaya W, da Costa JP, Soares MP (2013) Risk neutral and risk averse stochastic dual dynamic programming method. Eur. J. Oper. Res. 224(2):375–391.Crossref, Google Scholar
• Singh KJ, Philpott AB, Wood RK (2009) Dantzig-Wolfe decomposition for solving multistage stochastic capacity-planning problems. Oper. Res. 57(5):1271–1286.Link, Google Scholar
• Smith S (2022) What percentage of US car sales are electric? Way, https://www.way.com/blog/what-percentage-of-us-car-sales-are-electric/.Google Scholar
• Swaminathan JM (2000) Tool capacity planning for semiconductor fabrication facilities under demand uncertainty. Eur. J. Oper. Res. 120(3):545–558.Crossref, Google Scholar
• The White House (2023) Fact Sheet: Biden-Harris administration announces new private and public sector investments for affordable electric vehicles. The White House (April 17), https://www.whitehouse.gov/briefing-room/statements-releases/2023/04/17/.Google Scholar
• U.S. Department of Transportation (2022) Electric vehicle charging speeds. U.S. Department of Transportation, https://www.transportation.gov/rural/ev/toolkit/ev-basics/charging-speeds.Google Scholar
• Wasserman L (2004) All of Statistics: A Concise Course in Statistical Inference, vol. 26 (Springer, New York).Crossref, Google Scholar
• Yu X, Shen S (2024) On the value of risk-averse multistage stochastic programming in capacity planning. http://dx.doi.org/10.1287/ijoc.2023.0396.cd, https://github.com/INFORMSJoC/2023.0396.Google Scholar
• Zou J, Ahmed S, Sun XA (2019) Stochastic dual dynamic integer programming. Math. Programming 175(1–2):461–502.Crossref, Google Scholar