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作者：Feldman, Jacob; Topaloglu, Huseyin
作者单位：Washington University (WUSTL)
摘要：We study capacitated assortment problems when customers choose under the multinomial logit model with nested consideration sets. In this choice model, there are multiple customer types, and a customer of a particular type is interested in purchasing only a particular subset of products. We use the term consideration set to refer to the subset of products that a customer of a particular type is interested in purchasing. The consideration sets of customers of different types are nested in the se...
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作者：Noyan, Nilay; Rudolf, Gabor
作者单位：Sabanci University; Koc University
摘要：It is of crucial importance to develop risk-averse models for multicriteria decision making under uncertainty. A major stream of the related literature studies optimization problems that feature multivariate stochastic benchmarking constraints. These problems typically involve a univariate stochastic preference relation, often based on stochastic dominance or a coherent risk measure such as conditional value-at-risk, which is then extended to allow the comparison of random vectors by the use o...
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作者：Chen, Xin; Gao, Xiangyu; Pang, Zhan
作者单位：University of Illinois System; University of Illinois Urbana-Champaign; Chinese University of Hong Kong; City University of Hong Kong
摘要：A common technical challenge encountered in many operations management models is that decision variables are truncated by some random variables and the decisions are made before the values of these random variables are realized, leading to non-convex minimization problems. To address this challenge, we develop a powerful transformation technique that converts a nonconvex minimization problem to an equivalent convex minimization problem. We show that such a transformation enables us to prove th...
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作者：Liu, Yunan
作者单位：North Carolina State University
摘要：Analytic formulas are developed to set the time-dependent number of servers to stabilize the tail probability of customer waiting times for the G(t)/GI/s(t) + GI queueing model, which has a nonstationary non-Poisson arrival process (the G(t)), nonexponential service times (the first GI), and allows customer abandonment according to a nonexponential patience distribution (the + GI). Specifically, for any delay target w > 0 and probability target alpha is an element of(0, 1), we determine approp...
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作者：Kim, Jeunghyun; Randhawa, Ramandeep S.
作者单位：University of Southern California
摘要：We study the value of dynamic pricing to maximize revenues in queueing systems with price-and delay-sensitive customers. The system queue length is visible so that upon arrival, customers decide to join the system based on the congestion and the price at that time. We analyze this problem in the asymptotic regime of large customer market size and capacity. We find that dynamic pricing performs significantly better than static pricing at mitigating the effect of uncertainty. Asymptotically, the...
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作者：Vihola, Matti
作者单位：University of Jyvaskyla
摘要：Multilevel Monte Carlo (MLMC) and recently proposed unbiased estimators are closely related. This connection is elaborated by presenting a new general class of unbiased estimators, which admits previous debiasing schemes as special cases. New lower variance estimators are proposed, which are stratified versions of earlier unbiased schemes. Under general conditions, essentially when MLMC admits the canonical square root Monte Carlo error rate, the proposed new schemes are shown to be asymptotic...
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作者：Wagner, Michael R.
作者单位：University of Washington; University of Washington Seattle
摘要：We formulate and solve static and dynamic models of inventory management that lie at the intersection of robust optimization and optimal control theory. Our objective is to minimize cumulative ordering, holding, and shortage costs over a horizon [0, T], where the variable is a nonnegative ordering rate function q(t) is an element of L-2[0, T]. The demand rate function d(t) is unknown and is only assumed to belong to an uncertainty set Omega={d(t)is an element of L-2[0,T]:mu(a) <= (1/T) integra...
