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排序问题中优化准则关于基本参数的正则性及其应用 总被引:1,自引:0,他引:1
本文提出了优化准则关于加工时间、准备时间、应交工时间的正则性,利用这种正则性对寻找参数可控排序问题中的有效值、有效解给出了一直观算法,并指出对一些具体的参数可控排序问题,其有效值、有效解的寻找可通过对这一直观算法加以具体化而得.文中还对平均流程问题给出了这样一个具体化算法. 相似文献
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本文对[1,2]中指出的一类同顺序m×n排序问题有关的消去法提出两点注记。这里补充提出了一种不涉及下界计算并且检验方法简单的消去准则,同时,对[2]中给出的下界B(S…S′)的算法做了改进,从而使下界B(S…S′)的估值精度有所提高。 一、一个消去准则 首先说明,文中运用的术语和记号除特殊说明外均与[2]的定义相同,不再另述。 同顺序m×n排序问题是指:设有n个零件J_1,J_2,…,J_n和m台机床M_1,M_2, 相似文献
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针对序区间偏好信息的群决策方案排序问题,本文提出了一种新的分析方法.首先,给出了序区间的有关定义及其性质;然后,通过定义专家群体判断关于方案在排序位置的期望可能度和专家群体判断关于方案的数学期望值,给出了序区间偏好信息的群决策方案排序方法.最后,通过一个算例说明了本文提出的分析方法。 相似文献
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在分析传统的直线拟合基础上,提出基于垂直距离的直线拟合问题.针对3种准则,给出了3个模型.对于使残差的平方和为最小准则,经过推导得到一个精确结果. 相似文献
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周可心 《数学的实践与认识》2017,(1):280-285
针对决策者以三角模糊数互补判断矩阵形式给出的多目标决策问题.给出三角模糊数加性一致性互补判断矩阵的判定定理.利用该定理基于最小偏差建立一个目标规划模型而解得三角模糊数互补判断矩阵的权重向量,从而使用三角模糊数排序公式对方案排序,提出了基于目标规划的三角模糊数互补判断矩阵排序法.最后,将模型与方法应用于项目投资决策中. 相似文献
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Drop out monotonic rules for sequencing situations 总被引:1,自引:0,他引:1
Cristina Fernández Peter Borm Ruud Hendrickx Stef Tijs 《Mathematical Methods of Operations Research》2005,61(3):501-504
This note introduces a new monotonicity property for sequencing situations. A sequencing rule is called drop out monotonic if no player will be worse off whenever one of the players decides to drop out of the queue before processing starts. This intuitively appealing property turns out to be very strong: we show that there is at most one rule satisfying both stability and drop out monotonicity. For the standard model of linear cost functions, the existence of this rule is established. 相似文献
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Min Ji Sai Liu Xiaolin Zhang Keke Cao T. C. E. Cheng 《The Journal of the Operational Research Society》2017,68(2):121-133
We study sequencing situations in which the customers are initially sequenced to be served by a single server. We consider both slack due windows and group technology simultaneously. We introduce two division rules to divide among the customers the cost saving from resequencing the customers to follow the optimal sequence and characterize the rules axiomatically. Applying cooperative game theory to analyze the sequencing games corresponding to the sequencing situations, we use the theory’s solution concepts to solve the games. 相似文献
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《European Journal of Operational Research》1999,118(1):153-163
This paper considers a cost allocation problem that arises from a delivery problem associated with the Chinese postman problem (CPP). A delivery problem is described by a connected undirected graph in which each edge belongs to a different player, a cost function on the edges of this graph and a fixed vertex which is referred to as the post office. Assume that the post office is providing some service to the players. The nature of this service, which can be thought of as mail delivery, requires that a server will travel along the edges of the graph and returns to the post office. The cost allocation problem is concerned with the cost of providing the service to all players. A specific cost allocation rule is introduced and characterized. Further, the class of delivery problems gives rise to a new class of cooperative combinatorial optimization games called delivery games. It is shown that the outcome of the allocation rule with respect to a bridge-connected Euler graph is a core element of the corresponding delivery game. 相似文献
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In this paper, we consider spanning tree situations, where players want to be connected to a source as cheap as possible.
These situations involve the construction of a spanning tree with the minimum cost as well as the allocation of the cost of
this minimum cost spanning tree among its users in a fair way. Feltkamp, Muto and Tijs 1994 introduced the equal remaining obligations rule to solve the cost allocation problem in these situations. Recently, it has
been shown that the equal remaining obligations rule satisfies many appealing properties and can be obtained with different
approaches. In this paper, we provide a new approach to obtain the equal remaining obligations rule. Specifically, we show
that the equal remaining obligations rule can be obtained as the average of the cost allocations provided by a vertex oriented
construct-and-charge procedure for each order of players. 相似文献
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Andrés Jiménez-Losada Julio R. Fernández Manuel Ordóñez Michel Grabisch 《European Journal of Operational Research》2010
Myerson (1977) used graph-theoretic ideas to analyze cooperation structures in games. In his model, he considered the players in a cooperative game as vertices of a graph, which undirected edges defined their communication possibilities. He modified the initial games taking into account the graph and he established a fair allocation rule based on applying the Shapley value to the modified game. Now, we consider a fuzzy graph to introduce leveled communications. In this paper players play in a particular cooperative way: they are always interested first in the biggest feasible coalition and second in the greatest level (Choquet players). We propose a modified game for this situation and a rule of the Myerson kind. 相似文献
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Arantza Estévez-Fernández Peter Borm Pedro Calleja Herbert Hamers 《Annals of Operations Research》2008,158(1):189-203
Two classes of one machine sequencing situations are considered in which each job corresponds to exactly one player but a
player may have more than one job to be processed, so called RP(repeated player) sequencing situations. In max-RP sequencing
situations it is assumed that each player’s cost function is linear with respect to the maximum completion time of his jobs,
whereas in min-RP sequencing situations the cost functions are linear with respect to the minimum completion times. For both
classes, following explicit procedures to go from the initial processing order to an optimal order for the coalition of all
players, equal gain splitting rules are defined. It is shown that these rules lead to core elements of the associated RP sequencing
games. Moreover, it is seen that min-RP sequencing games are convex.
We thank two referees for their valuable suggestions for improvement.
Financial support for P. Calleja has been given by the Ministerio de Educación y Ciencia and FEDER under grant SEJ2005-02443/ECON,
and by the Generalitat de Catalunya through a BE grant from AGAUR and grant 2005SGR00984. 相似文献
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In this note we study uncertainty sequencing situations, i.e., one-machine sequencing situations in which no initial order
is specified. We associate cooperative games with these sequencing situations, study their core, and provide links with the
classic sequencing games introduced by Curiel et al. (Eur J Oper Res 40:344–351, 1989). Moreover, we propose and characterize
two simple cost allocation rules for uncertainty sequencing situations with equal processing times. 相似文献
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This paper proposes a new class of allocation rules in network games. Like the solution theory in cooperative games of how the Harsanyi dividend of each coalition is distributed among a set of players, this new class of allocation rules focuses on the distribution of the dividend of each network. The dividend of each network is allocated in proportion to some measure of each player’s effort, which is called an effort function. With linearity of the allocation rules, an allocation rule is specified by the effort functions. These types of allocation rules are called linear proportional effort allocation rules. Two famous allocation rules, the Myerson value and the position value, belong to this class of allocation rules. In this study, we provide a unifying approach to define the two aforementioned values. Moreover, we provide an axiomatic analysis of this class of allocation rules, and axiomatize the Myerson value, the position value, and their non-symmetric generalizations in terms of effort functions. We propose a new allocation rule in network games that also belongs to this class of allocation rules. 相似文献
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Sequencing games 总被引:1,自引:0,他引:1
Sequencing situations with linear cost functions are considered. A division rule for the cost savings is introduced and characterized axiomatically. Cooperative game theory is applied to analyse these situations and expressions for division rules induced by solution concepts from cooperative game theory are derived. 相似文献