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作者:Bai, Xingyu; Chen, Xin; Stolyar, Alexander L.
作者单位:University of Illinois System; University of Illinois Urbana-Champaign; University of Illinois System; University of Illinois Urbana-Champaign
摘要:We consider a partially observable lost-sales inventory system, in which the inventory level is observed only when it reaches zero. We use the vanishing discount factor approach to prove the existence of a stationary optimal policy for the average cost minimization. As our main methodological contribution, we provide a way to verify the key condition of the vanishing discount factor approach???the uniform boundedness of the relative discounted value function. To accomplish that, we construct a...
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作者:Cordera, Felipe; Moreno, Rodrigo; Ordonez, Fernando
作者单位:Universidad de Chile; Massachusetts Institute of Technology (MIT)
摘要:The extensive integration of renewable generation in electricity systems is significantly increasing the variability and correlation in power availability and the need for energy storage capacity. This increased uncertainty and storage capacity should be considered in operational decisions such as the short-term unit commitment (UC) problem. In this work, we formulate a day-ahead UC problem with energy storage, considering multistage correlated uncertainty on renewables' power availability. We...
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作者:Baldick, Ross; Chen, Yonghong; Huang, Bing
作者单位:University of Texas System; University of Texas Austin
摘要:We consider a storage device, such as a pumped storage hydroelectric generator, that has a state of charge together with mutually exclusive and disjoint charging and generating modes. We develop valid inequalities for a storage model that uses binary variables to represent the charging and generating modes. To investigate the model, we consider two contexts, stand-alone and large-scale. The stand-alone context involves the hydroelectric generator purchasing or selling electricity based on know...
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作者:Cho, Jehum; Papavasiliou, Anthony
摘要:Recent research has demonstrated that real-time auctions can generate the need for side payments, even if the market clearing models are convex, because of the rolling nature of real-time market clearing. This observation has inspired proposals for modifying the real-time market-clearing model in order to account for binding past decisions. We extend this analysis in order to account for uncertainty by proposing a real-time market clearing model with look-ahead and an endogenous representation...
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作者:Gholami, Amin; Sun, Kaizhao; Zhang, Shixuan; Sun, Xu Andy
作者单位:Brown University; Massachusetts Institute of Technology (MIT)
摘要:In this paper, we study efficient and robust computational methods for solving the security-constrained alternating current optimal power flow (SC-ACOPF) problem, a two-stage nonlinear optimization problem with disjunctive constraints, that is central to the operation of electric power grids. The first-stage problem in SC-ACOPF determines the operation of the power grid in normal condition, whereas the second-stage problem responds to various contingencies of losing generators, transmission li...
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作者:Chen, Wen; He, Ying; Bansal, Saurabh
作者单位:Providence College; University of Southern Denmark; Pennsylvania Commonwealth System of Higher Education (PCSHE); Pennsylvania State University; Pennsylvania State University - University Park
摘要:We study a dynamic pricing problem in which a firm chooses prices over multiple periods when consumers are state dependent; that is, they develop a habit or satiation from their past consumption. We first derive an intertemporal demand function to capture how demand in one period depends on the price in that period and consumption in previous periods through habit or satiation. Subsequently, we formulate the optimal price setting problem for a firm over a multiperiod horizon. We establish that...
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作者:Rusmevichientong, Paat; Sumida, Mika; Topaloglu, Huseyin; Bai, Yicheng
作者单位:University of Southern California
摘要:We study revenue management problems with heterogeneous resources, each with unit capacity. An arriving customer makes a booking request for a particular interval of days in the future. We offer an assortment of resources in response to each booking request. The customer makes a choice within the assortment to use the chosen resource for her desired interval of days. The goal is to find a policy that determines an assortment of resources to offer to each customer to maximize the total expected...
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作者:Han, Eojin; Bandi, Chaithanya; Nohadani, Omid
作者单位:Southern Methodist University; National University of Singapore
摘要:In many real applications, practitioners prefer policies that are interpretable and easy to implement. This tendency is magnified in sequential decision-making settings. In this paper, we leverage the concept of finite adaptability to construct policies for two-stage optimization problems. More specifically, we focus on the general setting of distributional uncertainties affecting the right-hand sides of constraints, because in a broad range of applications, uncertainties do not affect the obj...
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作者:Zhalechian, Mohammad; Keyvanshokooh, Esmaeil; Shi, Cong; Van Oyen, Mark P.
作者单位:Indiana University System; Indiana University Bloomington; IU Kelley School of Business; Texas A&M University System; Texas A&M University College Station; Mays Business School; University of Miami; University of Michigan System; University of Michigan
摘要:The choice of care unit upon admission to the hospital is a challenging task because of the wide variety of patient characteristics, uncertain needs of patients, and limited number of beds in intensive and intermediate care units. The care unit placement decisions involve capturing the trade-off between the benefit of better health outcomes versus the opportunity cost of reserving higher level of care beds for potentially more complex patients arriving in the future. By focusing on reducing th...
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作者:Baldick, Ross; Low, Steven; O'Neill, Richard; Ralph, Daniel; Zakeri, Golbon
作者单位:University of Texas System; University of Texas Austin; California Institute of Technology; United States Department of Energy (DOE); Advanced Research Projects Agency-Energy (ARPA-E); University of Cambridge; University of Massachusetts System; University of Massachusetts Amherst