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作者:de Vericourt, Francis; Jennings, Otis B.
作者单位:INSEAD Business School; Duke University
摘要:In this paper, we present a closed queueing model to determine efficient nurse staffing policies. We explicitly model the workload experienced by s nurses within a single medical unit with n homogeneous patients as a closed M / M / s / / n queueing system, where each patient alternates between requiring assistance and not. The performance of the medical unit is based on the probability of excessive delay, the relative frequency with which the delay between the onset of patient neediness and th...
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作者:Ehrenmann, Andreas; Smeers, Yves
作者单位:Engie; Universite Catholique Louvain; Universite Catholique Louvain
摘要:We cast models of the generation capacity expansion type formally developed for the monopoly regime into equilibrium models better adapted for a competitive environment. We focus on some of the risks faced today by investors in generation capacity and thus pose the problem as a stochastic equilibrium model. We illustrate the approach on the problem of the incentive to invest. Agents can be risk neutral or risk averse. We model risk aversion through the CVaR of plants' profit. The CVaR induces ...
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作者:Nasiry, Javad; Popescu, Ioana
作者单位:Hong Kong University of Science & Technology; INSEAD Business School
摘要:We study the dynamic pricing implications of a new, behaviorally motivated reference price mechanism based on the peak-end memory mode. This model suggests that consumers anchor on a reference price that is a weighted average of the lowest and most recent prices. Loss-averse consumers are more sensitive to perceived losses than gains relative to this reference price. We find that a range of constant pricing policies is optimal for the corresponding dynamic pricing problem. This range is wider ...
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作者:Devalkar, Sripad K.; Anupindi, Ravi; Sinha, Amitabh
作者单位:Indian School of Business (ISB); University of Michigan System; University of Michigan
摘要:We consider the integrated optimization problem of procurement, processing, and trade of commodities in a multiperiod setting. Motivated by the operations of a prominent commodity processing firm, we model a firm that procures an input commodity and has processing capacity to convert the input into a processed commodity. The processed commodity is sold using forward contracts, while the input itself can be traded at the end of the horizon. We solve this problem optimally and derive closed-form...
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作者:Allon, Gad; Bassamboo, Achal; Gurvich, Itai
作者单位:Northwestern University
摘要:Delay announcements informing customers about anticipated service delays are prevalent in service-oriented systems. How delay announcements can influence customers in service systems is a complex problem that depends on both the dynamics of the underlying queueing system and on the customers' strategic behavior. We examine this problem of information communication by considering a model in which both the firm and the customers act strategically: the firm in choosing its delay announcement whil...
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作者:Fuh, Cheng-Der; Hu, Inchi; Hsu, Ya-Hui; Wang, Ren-Her
作者单位:National Central University; Hong Kong University of Science & Technology; Abbott Laboratories; Tamkang University
摘要:Simulation of small probabilities has important applications in many disciplines. The probabilities considered in value-at-risk (VaR) are moderately small. However, the variance reduction techniques developed in the literature for VaR computation are based on large-deviations methods, which are good for very small probabilities. Modeling heavy-tailed risk factors using multivariate t distributions, we develop a new method for VaR computation. We show that the proposed method minimizes the vari...
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作者:Harel, Arie
作者单位:City University of New York (CUNY) System; Baruch College (CUNY)
摘要:This paper proves a long-standing conjecture regarding the optimal design of the M/M/s queue. The classical Erlang delay formula is shown to be a convex function of the number of servers when the server utilization is held constant. This means that when the server utilization is held constant, the marginal decrease in the probability that all servers are busy in the M/M/s queue brought about by the addition of two extra servers is always less than twice the decrease brought about by the additi...
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作者:Koeppe, Matthias; Ryan, Christopher Thomas; Queyranne, Maurice
作者单位:University of California System; University of California Davis; University of Chicago; University of British Columbia
摘要:We explore the computational complexity of computing pure Nash equilibria for a new class of strategic games called integer programming games, with differences of piecewise-linear convex functions as payoffs. Integer programming games are games where players' action sets are integer points inside of polytopes. Using recent results from the study of short rational generating functions for encoding sets of integer points pioneered by Alexander Barvinok, we present efficient algorithms for enumer...
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作者:Borgonovo, E.; Smith, C. L.
作者单位:Bocconi University; Bocconi University; United States Department of Energy (DOE); Idaho National Laboratory
摘要:Risk managers are often confronted with the evaluation of operational policies in which two or more system components are simultaneously affected by a change. In these instances, the decision-making process should be informed by the relevance of interactions. However, because of system and model complexity, a rigorous study for determining whether and how interactions quantitatively impact operational choices has not been developed yet. In light of the central role played by the multilinearity...
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作者:Harks, Tobias; Miller, Konstantin
作者单位:Maastricht University; Technical University of Berlin
摘要:Resource allocation problems play a key role in many applications, including traffic networks, telecommunication networks, and economics. In most applications, the allocation of resources is determined by a finite number of independent players, each optimizing an individual objective function. An important question in all these applications is the degree of suboptimality caused by selfish resource allocation. We consider the worst-case efficiency of cost sharing methods in resource allocation ...