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作者:Demirel, Sueleyman; Duenyas, Izak; Kapuscinski, Roman
作者单位:Amazon.com; University of Michigan System; University of Michigan
摘要:Consider a firm that produces multiple products on dedicated production lines (stage 1), which are further customized/calibrated on a shared resource (stage 2), common to all products. The dedicated production lines and the shared resource for calibration face capacity uncertainties. The firm holds inventory of products that are not yet calibrated and carries out calibration when an order is received. We analyze a multiperiod inventory model for two products and derive the optimal production p...
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作者:Dey, Santanu S.; Gupte, Akshay
作者单位:University System of Georgia; Georgia Institute of Technology; Clemson University
摘要:The pq-relaxation for the pooling problem can be constructed by applying McCormick envelopes for each of the bilinear terms appearing in the so-called pq-formulation of the pooling problem. This relaxation can be strengthened by using piecewise-linear functions that over-and under-estimate each bilinear term. Although there is a significant amount of empirical evidence to show that such piecewise-linear relaxations, which can be written as mixed-integer linear programs (MILPs), yield good boun...
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作者:Kim, Sang-Hyun
作者单位:Yale University
摘要:We examine the interplay between two important decisions that impact environmental performance in a production setting: inspections performed by a regulator and noncompliance disclosure by a production firm. To preempt the penalty that will be levied once a compliance violation is discovered in an inspection, the firm dynamically decides whether it should disclose a random occurrence of noncompliance. Anticipating this, the regulator determines inspection frequency and penalty amounts to minim...
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作者:Helm, Jonathan E.; Lavieri, Mariel S.; Van Oyen, Mark P.; Stein, Joshua D.; Musch, David C.
作者单位:Indiana University System; Indiana University Bloomington; IU Kelley School of Business; University of Michigan System; University of Michigan; University of Michigan System; University of Michigan
摘要:In managing chronic diseases such as glaucoma, the timing of periodic examinations is crucial, as it may significantly impact patients' outcomes. We address the question of when to monitor a glaucoma patient by integrating a dynamic, stochastic state space system model of disease evolution with novel optimization approaches to predict the likelihood of progression at any future time. Information about each patient's disease state is learned sequentially through a series of noisy medical tests....
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作者:den Boer, Arnoud V.; Zwart, Bert
作者单位:University of Twente; Centrum Wiskunde & Informatica (CWI); Vrije Universiteit Amsterdam
摘要:We study a dynamic pricing problem with finite inventory and parametric uncertainty on the demand distribution. Products are sold during selling seasons of finite length, and inventory that is unsold at the end of a selling season perishes. The goal of the seller is to determine a pricing strategy that maximizes the expected revenue. Inference on the unknown parameters is made by maximum-likelihood estimation. We show that this problem satisfies an endogenous learning property, which means tha...
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作者:Bensoussan, Alain; Guo, Pengfei
作者单位:University of Texas System; University of Texas Dallas; City University of Hong Kong; Hong Kong Polytechnic University
摘要:We study a periodic review inventory model with a nonperishable product over an infinite planning horizon. The demand for the nonperishable product arrives according to a Poisson process. Lost sales are unobservable but the stockout times are observable. We formulate the problem as a dynamic programming model with learning on arrival rate according to stockout times and further simplify it by using unnormalized probabilities. We then compare the system performance with those under other two in...
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作者:Broadie, Mark; Du, Yiping; Moallemi, Ciamac C.
作者单位:Columbia University; Columbia University; Columbia University
摘要:We introduce a regression-based nested Monte Carlo simulation method for the estimation of financial risk. An outer simulation level is used to generate financial risk factors and an inner simulation level is used to price securities and compute portfolio losses given risk factor outcomes. The mean squared error (MSE) of standard nested simulation converges at the rate k(-2/3), where k measures computational effort. The proposed regression method combines information from different risk factor...
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作者:Park, Chuljin; Kim, Seong-Hee
作者单位:Hanyang University; University System of Georgia; Georgia Institute of Technology
摘要:We consider a discrete optimization via simulation (DOvS) problem with stochastic constraints on secondary performance measures in which both objective and secondary performance measures need to be estimated by stochastic simulation. To solve the problem, we develop a new method called the Penalty Function with Memory (PFM). It is similar to an existing penalty-type method-which consists of a penalty parameter and a measure of violation of constraints-in a sense that it converts a DOvS problem...
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作者:Feldman, Jacob B.; Topaloglu, Huseyin
作者单位:Cornell University
摘要:We consider assortment optimization problems when customers choose according to the nested logit model and there is a capacity constraint limiting the total capacity consumption of all products offered in all nests. When each product consumes one unit of capacity, our capacity constraint limits the cardinality of the offered assortment. For the cardinality constrained case, we develop an efficient algorithm to compute the optimal assortment. When the capacity consumption of each product is arb...
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作者:Egami, Masahiko; Oryu, Tadao
作者单位:Kyoto University
摘要:The importance of the global financial system cannot be exaggerated. When a large financial institution becomes problematic and is bailed out, that bank is often claimed as too big to fail. On the other hand, to prevent bank's failure, regulatory authorities adopt the Prompt Corrective Action (PCA) against a bank that violates certain criteria, often measured by its leverage ratio. In this article, we provide a framework where one can analyze the cost and effect of PCAs. We model a large bank ...