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作者：Feng, Qi; Shanthikumar, J. George
作者单位：Purdue University System; Purdue University
摘要：We study the role of bargaining in a firm's sequential selling process. The seller firm under consideration sequentially sells a fixed amount of stock to a random arrival stream of potential buyers who are heterogeneous in product valuation. Based on the stock level and the time to the end of the selling season, the seller may dynamically choose either to post a take-it-or-leave-it price or to engage in bargaining with an arriving buyer. We introduce a stochastic order, called the scaled prici...
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作者：Ahn, Hyun-Soo; Jasin, Stefanus; Kaminsky, Philip; Wang, Yang
作者单位：University of Michigan System; University of Michigan; University of California System; University of California Berkeley
摘要：We consider a multiperiod planning problem faced by a biopharmaceutical firm that must coordinate the production and allocation of batches of intermediate products to end products for multiple markets. This is a challenging problem to solve optimally, so we derive a theoretical bound on the performance of a deterministic control (DC) in which all random variables are replaced by their expected values and the corresponding deterministic optimization problem is solved. This is a variant of an ap...
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作者：Martagan, Tugce; Krishnamurthy, Ananth; Leland, Peter A.; Maravelias, Christos T.
作者单位：Eindhoven University of Technology; University of Wisconsin System; University of Wisconsin Madison; University of Wisconsin System; University of Wisconsin Madison
摘要：We investigate protein purification operations conducted by biomanufacturers and pharmaceutical companies as part of their research and development efforts. Purification of these proteins involves unique challenges such as balancing the yield and purity trade-offs, dealing with uncertainty in the starting material, and estimating the impact of several interlinked decisions. We develop a Markov decision model and partition the state space into decision zones that provide managerial insights to ...
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作者：Legros, Benjamin; Jouini, Oualid; Koole, Ger
作者单位：Universite Paris Saclay; Vrije Universiteit Amsterdam
摘要：We consider queueing systems with general abandonment. Abandonment times are approximated by a particular Cox distribution with all phase exponential rates being the same. We prove that this distribution arbitrarily closely approximates any nonnegative distribution. By explicitly modeling the waiting time of the first customer in line, we obtain a natural bounded jump Markov process allowing for uniformization. This approach is useful to solve, via dynamic programming, various optimization pro...
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作者：Feng, Qi; Shanthikumar, J. George
作者单位：Purdue University System; Purdue University
摘要：The central issue in supply chain management is to match supply with demand, and the heart of a planning model is the modeling of supply and demand functions. To allow for analytical tractability, the existing literature often assumes almost surely linear supply and demand functions, which greatly limits the applicability of the models. The goal of this paper is to provide a unified approach to analyze general random supply and demand functions. By transforming the problem into one defined on ...
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作者：Le Guiban, Kaourintin; Rimmel, Arpad; Weisser, Marc-Antoine; Tomasik, Joanna
作者单位：Universite Paris Saclay
摘要：In metamodeling, the choice of sampling points is crucial for the quality of the model. In this context, the maximin Latin hypercube designs (LHD), with their space-filling and noncollapsing properties, are particularly efficient. To this day, there is no polynomial time algorithm that produces optimal maximin LHDs, i.e., in which the minimum distance between two points (the separation distance) is maximal. We are interested in LHDs with a separation distance as large as possible. The algorith...
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作者：Vercraene, Samuel; Gayon, Jean-Philippe; Karaesmen, Fikri
作者单位：Institut National des Sciences Appliquees de Lyon - INSA Lyon; Communaute Universite Grenoble Alpes; Institut National Polytechnique de Grenoble; Universite Grenoble Alpes (UGA); Centre National de la Recherche Scientifique (CNRS)
摘要：We consider a class of Markov Decision Processes frequently employed to model queueing and inventory control problems. For these problems, we explore how changes in different system input parameters (transition rates, costs, discount rates etc.) affect the optimal cost and the optimal policy when the state space of the problem is multidimensional. To address a large class of problems, we introduce two generic dynamic programming operators to model different types of controlled events. For thes...
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作者：Whitt, Ward; You, Wei
作者单位：Columbia University
摘要：Queueing applications are often complicated by dependence among interarrival times and service times. Such dependence is common in networks of queues, where arrivals are departures from other queues or superpositions of such complicated processes, especially when there are multiple customer classes with class-dependent service-time distributions. We show that the robust queueing approach for single-server queues proposed in the literature can be extended to yield improved steady-state performa...
