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作者：Farahat, Amr; Perakis, Georgia
作者单位：Cornell University; Massachusetts Institute of Technology (MIT)
摘要：We compare equilibrium profits of Bertrand (price) and Cournot (quantity) competition in oligopolies with an arbitrary number of nonsymmetric firms offering differentiated substitutable products under an affine demand function. We provide a precise characterization of the profit relationship in terms of (1) the number of firms, (2) their relative quality and cost differences, and (3) the competition intensity, defined as the maxiumum absolute value of total change in competitors' demand over c...
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作者：Farias, Vivek F.; Madan, Ritesh
作者单位：Massachusetts Institute of Technology (MIT); Qualcomm
摘要：This paper considers the multiarmed bandit problem with multiple simultaneous arm pulls and the additional restriction that we do not allow recourse to arms that were pulled at some point in the past but then discarded. This additional restriction is highly desirable from an operational perspective, and we refer to this problem as the irrevocable multiarmed bandit problem. We observe that natural modifications to well-known heuristics for multiarmed bandit problems that satisfy this irrevocabi...
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作者：Rajapakshe, Tharanga; Dawande, Milind; Sriskandarajah, Chelliah
作者单位：University of Texas System; University of Texas Dallas
摘要：Although the impact of layout on the productivity of manufacturing systems is well recognized, a quantification of this impact is an issue that is often ignored or crudely approximated in practice. When evaluating competing layouts for a manufacturing system, the trade-off between their relative benefits and their relative costs underlines the need for a reasonably accurate comparison of the productivity offered by these potential layouts. In this paper, we argue for this approach by comparing...
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作者：Choi, Sungyong; Ruszczynski, Andrzej; Zhao, Yao
作者单位：Nanyang Technological University; Rutgers University System; Rutgers University New Brunswick; Rutgers University System; Rutgers University New Brunswick; Rutgers University Newark
摘要：We consider a multiproduct risk-averse newsvendor under the law-invariant coherent measures of risk. We first establish several fundamental properties of the model regarding the convexity of the problem, the symmetry of the solution, and the impact of risk aversion. Specifically, we show that for identical products with independent demands, increased risk aversion leads to decreased orders. For a large but finite number of heterogeneous products with independent demands, we derive closed-form ...
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作者：Bertsimas, Dimitris; Gamarnik, David; Rikun, Alexander Anatoliy
作者单位：Massachusetts Institute of Technology (MIT); Massachusetts Institute of Technology (MIT)
摘要：Performance analysis of queueing networks is one of the most challenging areas of queueing theory. Barring very specialized models such as product-form type queueing networks, there exist very few results that provide provable nonasymptotic upper and lower bounds on key performance measures. In this paper we propose a new performance analysis method, which is based on the robust optimization. The basic premise of our approach is as follows: rather than assuming that the stochastic primitives o...
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作者：Bhandari, Atul; Secomandi, Nicola
作者单位：Carnegie Mellon University
摘要：Static game-theoretic models of bilateral bargaining assume that the seller knows his valuation for the item that is up for sale; that is, how the seller may determine this quantity is exogenous to these models. In this paper, we develop and analyze a stylized Markov decision process that endogenizes the seller's computation of his marginal inventory valuation in an infinite-horizon revenue management setting when each sale occurs according to a given bilateral bargaining mechanism. We use thi...
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作者：Kim, Sunkyo
作者单位：Ajou University
摘要：In two-moment decomposition approximations of queueing networks, the arrival process is modeled as a renewal process, and each station is approximated as a GI/G/1 queue whose mean waiting time is approximated based on the first two moments of the interarrival times and the service times. The departure process is also approximated as a renewal process even though the autocorrelation of this process may significantly affect the performance of the subsequent queue depending on the traffic intensi...
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作者：Kardes, Erim; Ordonez, Fernando; Hall, Randolph W.
作者单位：University of Southern California; Universidad de Chile
摘要：This paper presents a robust optimization model for n-person finite state/action stochastic games with incomplete information. We consider nonzero sum discounted stochastic games in which none of the players knows the true data of a game, and each player adopts a robust optimization approach to address the uncertainty. We call these games discounted robust stochastic games. Such games allow us to use simple uncertainty sets for the unknown data and eliminate the need to have an a-priori probab...
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作者：Morrow, W. Ross; Skerlos, Steven J.
作者单位：Iowa State University; University of Michigan System; University of Michigan
摘要：This article describes numerical methods that exploit fixed-point equations equivalent to the first-order condition for Bertrand-Nash equilibrium prices in a class of differentiated product market models based on the mixed-logit model of demand. One fixed-point equation is already prevalent in the literature, and one is novel. Equilibrium prices are computed for the calendar year 2005 new-vehicle market under two mixed-logit models using (i) a state-of-the-art variant of Newton's method applie...
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作者：Benjaafar, Saif; ElHafsi, Mohsen; Lee, Chung-Yee; Zhou, Weihua
作者单位：University of Minnesota System; University of Minnesota Twin Cities; University of California System; University of California Riverside; Hong Kong University of Science & Technology; Zhejiang University
摘要：We consider an assembly system with multiple stages, multiple items, and multiple customer classes. The system consists of m production facilities, each producing a different item. Items are produced in variable batch sizes, one batch at a time, with exponentially distributed batch production times. Demand from each class takes place continuously over time according to a compound Poisson process. At each decision epoch, we must determine whether or not to produce an item and, should demand fro...
