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Houmem Belkhechine 《Discrete Mathematics》2017,340(12):2986-2994
Given a tournament , a module of is a subset of such that for and , if and only if . The trivial modules of are ,
and . The tournament is indecomposable if all its modules are trivial; otherwise it is decomposable. The decomposability index of , denoted by , is the smallest number of arcs of that must be reversed to make indecomposable. For , let be the maximum of over the tournaments with vertices. We prove that and that the lower bound is reached by the transitive tournaments. 相似文献
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集合风险模型的可分解性 总被引:1,自引:0,他引:1
本文讨论了集合风险模型中 ,在复合二项分布和复合负二项分布两种情况下的可分解性问题 ,得到了同复合泊松分布情况下类似的结果 相似文献
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M. Oudghiri 《Journal of Mathematical Analysis and Applications》2005,306(2):663-668
We show that a non-injective Riesz operator on an infinite-dimensional Banach space X does not determine the complete norm topology of X. We also show that an injective operator with trivial generalized range determines the complete norm topology of X. Finally this result is used to settle the crucial role of the non-injectivity condition in our first result. 相似文献
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A symmetric queue is known to have a nice property, the so-called insensitivity. In this paper, we generalize this for a single node queue with Poisson arrivals and background state, which changes at completion instants of lifetimes as well as at the arrival and departure instants. We study this problem by using the decomposability property of the joint stationary distribution of the queue length and supplementary variables, which implies the insensitivity. We formulate a Markov process representing the state of the queue as an RGSMP (reallocatable generalized semi-Markov process), and give necessary and sufficient conditions for the decomposability. We then establish general criteria to be sufficient for the queue to possess the property. Various symmetric-like queues with background states, including continuous time versions of moving server queues, are shown to have the decomposability.This author is partially supported by NEC C&C Laboratories. 相似文献
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孙永忠 《高校应用数学学报(A辑)》1998,(2)
对[0,1]上一般的算子‘*’引入*-紧Fuzzy关系及其○*-可分解Fuzy关系的概念,证明了有单位元1的保序算子‘*’及有单位元0的保序算子‘*-’所定义的○*-可分解和○*--可分解Fuzzy关系在某种意义上构成了新的可传递Fuzzy关系类,并且还给出了这些类在不同类型的传递性之间的一种位置关系,特别地,对二元○∨-可分解Fuzzy关系,该文还得到了一个关于其传递性的完全刻画. 相似文献
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Geert Dhaene Erik Schokkaert Carine Van de Voorde 《Journal of multivariate analysis》2003,86(2):242-253
Given two linear regression models y1=X1β1+u1 and y2=X2β2+u2 where the response vectors y1 and y2 are unobservable but the sum y=y1+y2 is observable, we study the problem of decomposing y into components
and
, intended to be close to y1 and y2, respectively. We develop a theory of best affine unbiased decomposition in this setting. A necessary and sufficient condition for the existence of an affine unbiased decomposition is given. Under this condition, we establish the existence and uniqueness of the best affine unbiased decomposition and provide an expression for it. 相似文献
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Letf be a real-valued function defined on the product ofm finite-dimensional open convex setsX
1, ,X
m
.Assume thatf is quasiconvex and is the sum of nonconstant functionsf
1, ,f
m
defined on the respective factor sets. Then everyf
i
is continuous; with at most one exception every functionf
i
is convex; if the exception arises, all the other functions have a strict convexity property and the nonconvex function has several of the differentiability properties of a convex function.We define the convexity index of a functionf
i
appearing as a term in an additive decomposition of a quasiconvex function, and we study the properties of that index. In particular, in the case of two one-dimensional factor sets, we characterize the quasiconvexity of an additively decomposed functionf either in terms of the nonnegativity of the sum of the convexity indices off
1 andf
2, or, equivalently, in terms of the separation of the graphs off
1 andf
2 by means of a logarithmic function. We investigate the extension of these results to the case ofm factor sets of arbitrary finite dimensions. The introduction discusses applications to economic theory. 相似文献
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