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81.
Demetrios L. Antzoulakos Andreas N. Philippou 《Annals of the Institute of Statistical Mathematics》1996,48(3):551-561
The probability distribution functions (pdf's) of the sooner and later waiting time random variables (rv's) for the succession quota problem (k successes and r failures) are derived presently in the case of a binary sequence of order k. The probability generating functions (pgf's) of the above rv's are then obtained directly from their pdf's. In the case of independent Bernoulli trials, expressions for the pdf's in terms of binomial coefficients are also established. 相似文献
82.
An M/GI/1 queueing system is in series with a unit with negative exponential service times and infinite waiting room capacity. We determine a closed form expression for the generating function of the joint queue length distribution in steady state. This result is obtained via the solution of a new type of functional equation in two variables. 相似文献
83.
K. Farahmand 《Queueing Systems》1996,22(3-4):425-435
We analyze a model queueing system in which customers cannot be in continuous contact with the server, but must call in to request service. If the server is free, the customer enters service immediately, but if the server is occupied, the unsatisfied customer must break contact and reapply for service later. There are two types of customer present who may reapply. First transit customers who arrive from outside according to a Poisson process and if they find the server busy they join a source of unsatisfied customers, called the orbit, who according to an exponential distribution reapply for service till they find the server free and leave the system on completion of service. Secondly there are a number of recurrent customers present who reapply for service according to a different exponential distribution and immediately go back in to the orbit after each completion of service. We assume a general service time distribution and calculate several characterstic quantities of the system for both the constant rate of reapplying for service and for the case when customers are discouraged and reduce their rate of demand as more customers join the orbit. 相似文献
84.
A review and some new results are presented for several cluster statistics models, solutions of which can be reduced to difference equations. Mathematical techniques suitable for solving these equations are surveyed. 相似文献
85.
By jagged partitions we refer to an ordered collection of non-negative integers (n1, n2,..., nm) with nm≥ p for some positive integer p, further subject to some weakly decreasing conditions that prevent them for being genuine partitions. The case analyzed in
greater detail here corresponds to p = 1 and the following conditions ni≥ ni+1−1 and ni≥ ni+2. A number of properties for the corresponding partition function are derived, including rather remarkable congruence relations.
An interesting application of jagged partitions concerns the derivation of generating functions for enumerating partitions
with special restrictions, a point that is illustrated with various examples.
2000 Mathematics Subject Classification: Primary—05A15, 05A17, 05A19 相似文献
86.
Nakao Hayashi Elena I. Kaikina Pavel I. Naumkin 《Mathematical Methods in the Applied Sciences》2005,28(3):275-308
We study the Cauchy problem for non‐linear dissipative evolution equations (1) where ?? is the linear pseudodifferential operator and the non‐linearity is a quadratic pseudodifferential operator (2) û ≡ ?x→ξ u is the Fourier transformation. We consider non‐convective type non‐linearity, that is we suppose that a(t,0,y) ≠ 0. Let the initial data , are sufficiently small and have a non‐zero total mass , where is the weighted Sobolev space. Then we give the main term of the large time asymptotics of solutions in the sub critical case. Copyright © 2004 John Wiley & Sons, Ltd. 相似文献
87.
This paper provides “ready-to-apply” procedures, based on generating functions, which allow to compute power indices in weighted
majority games restricted by an a priori system of unions. We illustrate these methods by an application to the International
Monetary Fund. We compare the empirical properties of the coalitional and traditional power indices keeping the game fixed
or allowing for variations in its set of parameters. 相似文献
88.
G Ananthakrishna 《Pramana》1979,12(5):543-561
The model introduced for clustering of quenched-in vacancies in the first part of this series of papers is considered. Using
a generating function, the rate equations are converted into a first order partial differential equation for the generating
function coupled to a differential equation for the rate of change of the concentration of single vacancy units. A decoupling
scheme is effected which gives an exponentially decaying solution with a very short time constant for the concentration of
single vacancy units. The differential equation for the generating function is solved for times larger than the time required
for the concentration of single vacancy units to reach its asymptotic value. The distribution for the size of the clusters
is obtained by inverting the solution thus obtained. Several results that follow are shown to be in reasonably good agreement
with the experimental results. 相似文献
89.
A review and some new results are presented for the solid-on-solid models of wetting in two dimensions (i.e., line interfaces) with an emphasis on the difference equations arising in the transfer matrix calculations for these models. Methods for solving the appropriate difference equations exactly or approximately are surveyed, including specific results for short-range, long-range power-law, and applied field-like (binding) external potentials. 相似文献
90.
分别从正规和奇异拉氏量系统的相空间生成泛函出发,导出了增广相空间中整体对称下的正则形式Ward恒等式.考虑对应的定域交换,得到了量子水平的守恒荷,给出了正则形式的量子Noether定理.讨论了在核子和π介子相互作用中的初步应用. 相似文献