-
作者：Simchi-Levi, David; Trichakis, Nikolaos; Zhang, Peter Yun
作者单位：Massachusetts Institute of Technology (MIT); Massachusetts Institute of Technology (MIT); Massachusetts Institute of Technology (MIT); Massachusetts Institute of Technology (MIT)
摘要：We study a prescriptive model for end-to-end design of a supply chain for medical countermeasures (MCMs) to defend against bioattacks. We model the defender's MCMs inventory prepositioning and dispensing capacity installation decisions, attacker's move, and defender's adjustable shipment decisions so as to minimize inventory and lifeloss costs subject to population survivability targets. We explicitly account for the strategic interaction between defender's and attacker's actions, assuming inf...
-
作者：Agrawal, Shipra; Avadhanula, Vashist; Goyal, Vineet; Zeevi, Assaf
作者单位：Columbia University; Columbia University
摘要：We consider a dynamic assortment selection problem where in every round the retailer offers a subset (assortment) of N substitutable products to a consumer, who selects one of these products according to a multinomial logit (MNL) choice model. The retailer observes this choice, and the objective is to dynamically learn the model parameters while optimizing cumulative revenues over a selling horizon of length T. We refer to this exploration-exploitation formulation as the MNL-Bandit problem. Ex...
-
作者：Balseiro, Santiago R.; Gurkan, Huseyin; Sun, Peng
作者单位：Columbia University; Duke University
摘要：We consider a principal repeatedly allocating a single resource in each period to one of multiple agents, whose values are private, without relying on monetary payments over an infinite horizon with discounting. We design a dynamic mechanism that induces agents to report their values truthfully in each period via promises/threats of future favorable/unfavorable allocations. We show that our mechanism asymptotically achieves the first-best efficient allocation (the welfare-maximizing allocation...
-
作者：Ifrach, Bar; Maglaras, Costis; Scarsini, Marco; Zseleva, Anna
作者单位：Uber Technologies, Inc.; Columbia University; Luiss Guido Carli University; Tel Aviv University
摘要：Motivated by the proliferation of user-generated product-review information and its widespread use, this note studies a market where consumers are heterogeneous in terms of their willingness to pay for a new product. Each consumer observes the binary reviews (like or dislike) of consumers who purchased the product in the past and uses Bayesian updating to infer the product quality. We show that the learning process is successful as long as the price is not prohibitive, and therefore at least s...
-
作者：Chen, Xin; Gao, Xiangyu
作者单位：University of Illinois System; University of Illinois Urbana-Champaign; Chinese University of Hong Kong
摘要：We study stochastic optimization problems with decisions truncated by random variables. This paper extends existing results in the literature by allowing positively dependent random variables and a two-part fee structure. We develop a transformation technique to convert the original nonconvex problems to equivalent convex ones. We apply our transformation technique to an inventory substitution model with random supply capacities and a two-part fee cost structure. In addition, we extend our res...
-
作者：Chen, Zhi; Sim, Melvyn; Xu, Huan
作者单位：City University of Hong Kong; National University of Singapore; University System of Georgia; Georgia Institute of Technology
摘要：We consider a distributionally robust optimization problem where the ambiguity set of probability distributions is characterized by a tractable conic representable support set and by expectation constraints. We propose a new class of infinitely constrained ambiguity sets for which the number of expectation constraints could be infinite. The description of such ambiguity sets can incorporate the stochastic dominance, dispersion, fourth moment, and our newly proposed entropic dominance informati...
