共查询到20条相似文献,搜索用时 703 毫秒
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卢宗华 《数学的实践与认识》2005,35(6):142-146
讨论分派问题的效率矩阵的元素发生变化时,对最优解的影响;在保持分派问题最优解不变的情况下,效率矩阵的元素的变化范围;及当分派问题的最优解发生变化后,如何用简单的方法求得新的最优解等. 相似文献
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进一步讨论了在保持分派问题最优解不变的情况下,效率矩阵元素的变化范围.这些变化范围是保持分派问题最优解不变的充要条件. 相似文献
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灰色分派问题及其应用 总被引:1,自引:0,他引:1
在分派问题中,总假设被分派工作的人(或机器等)做各项工作的效率(或所费时间)都是确定的值.但实际上.对于以往未做过的工作,或做过但情况变化较大的工作都难以定下确切的工作效率,而只能估计出一个大概的范围.这也就是说有些工作效率是有理灰数.我们把这一类分派问题称为灰色分派问题.木文给出了灰色分派问题有关定理的证明以及一个应用实例. 相似文献
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着色李超代数与左着色对称结构 总被引:1,自引:0,他引:1
本文研究了着色李超代数上的左着色对称结构问题.利用着色李超代数的两种仿射表示和1-上同调群,得出左着色对称结构存在的几个充分或必要条件,推广了文[2]的结论. 相似文献
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John M. Wilson 《Journal of Heuristics》1997,2(4):303-311
A new algorithm for the generalised assignment problem is described in this paper. The dual-type algorithm uses a simple heuristic derived from a relaxation of the problem. The algorithm has been tested on generalised assignment problems of substantial size and compared to an exact integer programming approach and a well-established heuristic approach. Computational results look promising in terms of speed and solution quality. 相似文献
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The generalized assignment problem (GAP), the 0–1 integer programming (IP) problem of assigning a set of n items to a set of m knapsacks, where each item must be assigned to exactly one knapsack and there are constraints on the availability of resources for item assignment, has been further generalized recently to include cases where items may be shared by a pair of adjacent knapsacks. This problem is termed the generalized assignment problem with special ordered sets of type 2 (GAPS2). For reasonably large values of m and n the NP-hard combinatorial problem GAPS2 becomes intractable for standard IP software, hence there is a need for the development of heuristic algorithms to solve such problems. It will be shown how a heuristic algorithm developed previously for the GAP problem can be modified and extended to solve GAPS2. Encouraging results, in terms of speed and accuracy, have been achieved. 相似文献
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We analyse thegeneralised assignment problem under the assumption that all coefficients are drawn uniformly and independently from [0, 1]. We show that such problems can be solved exactly with high probability, in a well-defined sense. The results are closely related to earlier work of Lueker, Goldberg and Marchetti-Spaccamela and ourselves.Supported by NATO grant RG0088/89.Supported by NSF grant CCR-8900112 and NATO grant RG0088/89. 相似文献
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We identify a class of instances of the Koopmans–Beckmann form of the Quadratic Assignment Problem that are solvable in polynomial time. This class is characterized by a path structure in the flow data and a grid structure in the distance data. Chr18b, one of the test problems in the QAPLIB, is in this class even though this feature of it has not been noticed until now. 相似文献
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George G. Polak 《Annals of Operations Research》2005,138(1):223-233
In a storage-and-retrieval device, items are retrieved on demand from a storage bank by a picking mechanism. Many varieties
of these robotic devices are in use in manufacturing, logistics and computer peripherals. In printed circuit board manufacturing,
storage-and-retrieval is intertwined with component placement and product clustering. Under certain circumstances, the problem
of assigning items by type to storage slots to minimize the expected retrieval time is a quadratic assignment problem. Although
such models are very difficult to solve to optimality, an important special case considered here admits an easy solution,
namely, the well known “organ pipe” arrangement of items. 相似文献
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闻振卫 《数学的实践与认识》2008,38(2):53-58
讨论把2N项任务(或工件)指派(安排)给N个人(或机器)的问题.已知人i处理(或加工)任务j的时间花费是cij,i=1,2,…,N,j=1,2,…,2N,要求每人恰承担2项任务,每项任务恰由1个人承担.怎样分派任务,使完成任务最慢的人所花的时间最少. 相似文献
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Theo S. H. Driessen 《International Journal of Game Theory》1998,27(2):301-303
In this note we prove that the kernel of a bilateral assignment game is always included in the core. This solves an outstanding
open problem for bilateral assignment games.
Received January 1997/Final version June 1997 相似文献
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A note on the nucleolus and the kernel of the assignment game 总被引:1,自引:0,他引:1
There exist coalitional games with transferable utility which have the same core but different nucleoli. We show that this cannot happen in the case of assignment games. Whenever two assignment games have the same core, their nucleoli also coincide. To show this, we prove that the nucleolus of an assignment game coincides with that of its buyer–seller exact representative.I am grateful to C. Rafels and to the referees for their comments. Institutional support from research grants BEC 2002-00642 and SGR2001–0029 is also acknowledged. 相似文献
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Analysis of random instances of optimization problems provides valuable insights into the behavior and properties of problem’s solutions, feasible region, and optimal values, especially in large-scale cases. A class of problems that have been studied extensively in the literature using the methods of probabilistic analysis is represented by the assignment problems, and many important problems in operations research and computer science can be formulated as assignment problems. This paper presents an overview of the recent results and developments in the area of probabilistic assignment problems, including the linear and multidimensional assignment problems, quadratic assignment problem, etc. 相似文献