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作者:REISMAN, A; KIRSCHNICK, F
作者单位:Siemens AG; Siemens Germany
摘要:Ackoff has decried the ''devolution'' of OR/MS, Corbett and Van Wassenhove have spoken of its ''natural drift,'' and a sociologist has described its ''regression'' as typifying that of other learned professions. To shed light on these views, we undertook a detailed survey of a segment of the OR/MS literature, with particular focus on the space in flagship journals devoted to theory on the one hand and applications on the other. While the literature of OR/MS contains many articles and texts wit...
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作者:ROSENBERG, E; GLEIT, A
摘要:Many static and dynamic models have been used to assist decision making in the area of consumer and commercial credit. The decisions of interest include whether to extend credit, how much credit to extend, when collections on delinquent accounts should be initiated, and what action should be taken. We survey the use of discriminant analysis, decision trees, and expert systems for static decisions, and dynamic programming, linear programming, and Markov chains for dynamic decision models. Since...
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作者:RUSSELL, RA; LEUNG, JMY
作者单位:University of Arizona
摘要:In this paper, we discuss the problem of devising a cost effective schedule for a baseball league. Sports scheduling is a notoriously difficult problem. A schedule must satisfy constraints on timing such as the number of games to be played between every pair of teams, the bounds on the number of consecutive home (or away) games for each team, that every pair of teams must have played each other in the first half of the season, and so on. Often, there are additional factors to be considered for...
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作者:FISHER, ML
摘要:We consider the problem of optimally scheduling a fleet of K vehicles to make deliveries to n customers subject to vehicle capacity constraints. Given a graph with n + 1 nodes, a K-tree is defined to be a set of n + K edges that span the graph. We show that the vehicle routing problem can be modeled as the problem of finding a minimum cost K-tree with two K edges incident on the depot and subject to some side constraints that impose vehicle capacity and the requirement that each customer be vi...
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作者:LECUYER, P; PERRON, G
摘要:We show that under the (sufficient) conditions usually given for infinitesimal perturbation analysis (IPA) to apply for derivative estimation, a finite-difference scheme with common random numbers (FDC) has the same order of convergence, namely 0(n-1/2) , provided that the size of the finite-difference interval converges to zero fast enough. This holds for both one- and two-sided FDC. This also holds for different variants of IPA, such as some versions of smoothed perturbation analysis (SPA), ...
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作者:HOLMBERG, K
摘要:We study the lower bounds on the optimal objective function value of linear pure integer programming problems obtainable by the convexification in parts that results from using Benders' or cross decomposition, and the best lower bounds obtainable by the convexification resulting from Lagrangian relaxation together with subgradient optimization or Dantzig-Wolfe decomposition. A comparison shows that generalized Benders' and generalized cross decomposition yield the best of these bounds, while o...
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作者:ROTHBLUM, UG; ROTHKOPF, MH
作者单位:Rutgers University System; Rutgers University New Brunswick
摘要:Sequencing rules that rely on priority indices are particularly attractive because they are simple to calculate and easy to implement. It has been established that there are exactly two classes of delay cost functions for which policies that are determined by time-invariant priority indices are capable of producing optimal sequences: linear delay costs and discounted linear delay costs. We consider index-based policies that allow dynamic recalculation of priority indices and show that this cla...
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作者:LAGUNA, M; FEO, TA; ELROD, HC
作者单位:University of Texas System; University of Texas Austin
摘要:We present a greedy randomized adaptive search procedure (GRASP) for the network 2-partition problem. The heuristic is empirically compared with the Kernighan-Lin (K&L) method on a wide range of instances. The GRASP approach dominates K&L with respect to solution value on a large percentage of the instances tested. The ability of GRASP to find optimal solutions is assessed by comparing its performance with a general purpose mixed integer programming package.
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作者:FAIGLE, U; KERN, W
摘要:Maximum average weight ideal problems in ordered sets arise from modeling variants of the investment problem and, in particular, learning problems in the context of concepts with tree-structured attributes in artificial intelligence. Similarly, trying to construct tests with high reliability leads to a nontrivial maximum average weight ideal problem. This paper investigates the computational complexity and shows that the general problem is NP-complete. Important special cases (e.g., finding ro...
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作者:SO, KC; SCOTT, CH
摘要:In the manufacture of mechanical heart valves, very high precision manufacturing and quality control is an absolute necessity. Since a mechanical heart valve consists of a number of components, it is imperative that the components match precisely. Motivated by this need in heart valve manufacturing, we study a new production control model for a product comprised of matching components. The model is also applicable to other production systems for manufacturing high precision products requiring ...