共查询到20条相似文献,搜索用时 15 毫秒
1.
Erik A. van Doorn 《TOP》2011,19(2):336-350
We consider the M/M/N/N+R service system, characterized by N servers, R waiting positions, Poisson arrivals and exponential service times. We discuss representations and bounds for the rate of
convergence to stationarity of the number of customers in the system, and study its behaviour as a function of R, N and the arrival rate λ, allowing λ to be a function of N. 相似文献
2.
V. S. Gerdjikov G. G. Grahovski R. I. Ivanov 《Theoretical and Mathematical Physics》2016,188(3):1305-1321
We study extensions of N-wave systems with PT symmetry and describe the types of (nonlocal) reductions leading to integrable equations invariant under the P (spatial reflection) and T (time reversal) symmetries. We derive the corresponding constraints on the fundamental analytic solutions and the scattering data. Based on examples of three-wave and four-wave systems (related to the respective algebras sl(3,C) and so(5,C)), we discuss the properties of different types of one- and two-soliton solutions. We show that the PT-symmetric three-wave equations can have regular multisoliton solutions for some specific choices of their parameters. 相似文献
3.
B. M. Zupnik 《Theoretical and Mathematical Physics》2010,165(1):1315-1334
We consider the map of three-dimensional N=4 superfields to the N=3 harmonic superspace. The left and right representations of the N=4 superconformal group are constructed on N=3 analytic superfields. These representations are convenient for describing N=4 superconformal couplings of Abelian gauge superfields to hypermultiplets. We investigate the N=4 invariance in the non-Abelian N=3 Yang-Mills theory. 相似文献
4.
K. V. Stepanyantz 《Theoretical and Mathematical Physics》2005,142(1):29-47
Using Schwinger-Dyson equations and Ward identities in the N=1 supersymmetric electrodynamics regularized by higher derivatives, we find that we can calculate some contributions to the two-point Greens function of the gauge field and to the -function exactly in all orders of the perturbation theory. We use the results to investigate the anomaly puzzle in the considered theory.Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 142, No. 1, pp. 35–56, January, 2005. 相似文献
5.
We provide some characterizations of completely prime (completely semiprime) and 3-prime (3-semiprime) N-groups. The relationship between a 3-prime (completely prime) N-ideal P of an N-group Γ and the ideal (P: Γ) of the near-ring N is investigated. Moreover, the notion of IFP N-ideal is defined. We prove that the concept of IFP N-ideal occurs naturally where N is a left permutable (left self distributive, subcommutative) near-ring and Γ a monogenic N-group. Also, we obtain some relationships between an IFP N-ideal P of an N-group Γ and the ideal (P: Γ) of the near-ring N. 相似文献
6.
The N-commutator
is conjecturally a well-defined nontrivial operation on
for x =
(x
1, ... ,
x
n
)
if and only if N =
n
2 +
2n - 2. This is
proved for n = 2 and confirmed by
computer experiments for n < 5.
Under 2- and 5-commutators the algebra of divergence-free
vector fields in two dimensions is an sh-Lie (strong homotopic
Lie) algebra in the sense of Stasheff. Similarly,
W(2) is an
sh-Lie algebra with respect to 2- and 6-commutators. 相似文献
7.
Dieter Fiems Stijn De Vuyst Sabine Wittevrongel Herwig Bruneel 《Annals of Operations Research》2009,170(1):113-131
In this contribution we investigate higher-order loss characteristics for M/G/1/N queueing systems. We focus on the lengths of the loss and non-loss periods as well as on the number of arrivals during these
periods. For the analysis, we extend the Markovian state of the queueing system with the time and number of admitted arrivals
since the instant where the last loss occurred. By combining transform and matrix techniques, expressions for the various
moments of these loss characteristics are found. The approach also yields expressions for the loss probability and the conditional
loss probability. Some numerical examples then illustrate our results. 相似文献
8.
M. Narmania 《Journal of Mathematical Sciences》2009,157(1):150-160
In this paper, the problem of bending for an isotropic plate with constant thickness 2h is considered. Problems of bending for infinite plates with a circular hole in which a rigid body is placed in the cases
of approximations N = 1 and N = 2 of the Vekua theory are solved. We consider the case where the body is soldered. Problems of bending of circular rings
are also solved. The results obtained are compared to the corresponding results obtained by plane classical bending theory.
Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 51, Differential
Equations and Their Applications, 2008. 相似文献
9.
B. I. Sadovnikov N. G. Inozemtseva V. I. Inozemtsev 《Theoretical and Mathematical Physics》2010,164(3):1176-1183
We consider simplified models of coupling charged matter to radiation resonance modes generalizing the well-known Jaynes-Cummings
and Dicke models. We find that these new models are integrable for arbitrary numbers of dipole sources and resonance modes
of the radiation field. We discuss the problem of explicitly diagonalizing the corresponding Hamiltonians. 相似文献
10.
In this paper, we give the eigenvalues of the manifold Sp(n)/U(n). We prove that an eigenvalue λ
s
(f
2, f
2, …, f
n
) of the Lie group Sp(n), corresponding to the representation with label (f
1, f
2, ..., f
n
), is an eigenvalue of the manifold Sp(n)/U(n), if and only if f
1, f
2, …, f
n
are all even. 相似文献
11.
M. V. Cromie M. L. Chaudhry W. K. Grassmann 《The Journal of the Operational Research Society》1979,30(8):755-763
For the multi-channel bulk-arrival queue, M x /M/c, Abol'nikov and Kabak independently obtained steady state results. In this paper the results of these authors are extended, corrected and simplified. A number of measures of efficiency are calculated for three cases where the arrival group size has: (i) a constant value, (ii) a geometric distribution, or (iii) a positive Poisson distribution. The paper also shows how to calculate fractiles for both the queue length and the waiting time distribution. Examples of extensive numerical results for certain measures of efficiency are presented in tabular and chart form. 相似文献
12.
Dong-il Lee 《Algebras and Representation Theory》2010,13(6):705-718
In this note, we find a monomial basis of the cyclotomic Hecke algebra \({\mathcal{H}_{r,p,n}}\) of G(r,p,n) and show that the Ariki-Koike algebra \({\mathcal{H}_{r,n}}\) is a free module over \({\mathcal{H}_{r,p,n}}\), using the Gröbner-Shirshov basis theory. For each irreducible representation of \({\mathcal{H}_{r,p,n}}\), we give a polynomial basis consisting of linear combinations of the monomials corresponding to cozy tableaux of a given shape. 相似文献
13.
Yi-Chih Hsieh Mark S. Andersland 《The Journal of the Operational Research Society》1995,46(6):747-752
We develop an exact closed-form expression for the steady-state availability of a repairable, N-server system in which the ith server contains n i identical, reconfigurable, breakdown-prone units. Our approach, which follows from the Markov chain balance equations and the recursive properties of Hessenberg matrix determinants, is simpler than previously proposed matrix geometric approaches, and can readily be adapted to the availability analysis of more complicated structures. We illustrate this by computing the steady-state availability of a mixed parallel-serial gracefully degrading replicated system. 相似文献
14.
We consider an M/G/1 queue with the following form of customer impatience: an arriving customer balks or reneges when its virtual waiting time,
i.e., the amount of work seen upon arrival, is larger than a certain random patience time. We consider the number of customers
in the system, the maximum workload during a busy period, and the length of a busy period. We also briefly treat the analogous
model in which any customer enters the system and leaves at the end of his patience time or at the end of his virtual sojourn
time, whichever occurs first. 相似文献
15.
In this paper, we study the weighted (x(q + 1), x; 2, q)-minihypers. These are weighted sets of x(q + 1) points in PG(2, q) intersecting every line in at least x points. We investigate the decomposability of these minihypers, and define a switching construction which associates to an
(x(q + 1), x; 2, q)-minihyper, with x ≤ q
2 − q, not decomposable in the sum of another minihyper and a line, a (j(q + 1), j; 2, q)-minihyper, where j = q
2 − q − x, again not decomposable into the sum of another minihyper and a line. We also characterize particular (x(q + 1), x; 2, q)-minihypers, and give new examples. Additionally, we show that (x(q + 1), x; 2, q)-minihypers can be described as rational sums of lines. In this way, this work continues the research on (x(q + 1), x; 2, q)-minihypers by Hill and Ward (Des Codes Cryptogr 44:169–196, 2007), giving further results on these minihypers. 相似文献
16.
L. V. Bork D. I. Kazakov G. S. Vartanov A. V. Zhiboedov 《Proceedings of the Steklov Institute of Mathematics》2011,272(1):39-46
Using the algorithm of constructing the IR finite observables discussed in detail in our earlier papers, we study the construction
of such observables in N = 8 supergravity in the first nontrivial order of perturbation theory. In general, contrary to the amplitudes defined in
the presence of some IR regulator, such observables do not reveal any “simple” structure. 相似文献
17.
JunRu Si 《中国科学A辑(英文版)》2009,52(11):2419-2431
The paper focuses on the 1-generated positively graded algebras with non-pure resolutions and mainly discusses a new kind of algebras called(s,t,d)-bi-Koszul algebras as the generalization of bi-Koszul algebras. An(s,t,d)-bi-Koszul algebra can be obtained from two periodic algebras with pure resolutions. The generation of the Koszul dual of an(s,t,d)-bi-Koszul algebra is discussed. Based on it,the notion of strongly(s,t,d)-bi-Koszul algebras is raised and their homological properties are further discussed. 相似文献
18.
A normal subgroup N of a finite group G is called n-decomposable in G if N is the union of n distinct G-conjugacy classes. We study the structure of nonperfect groups in which every proper nontrivial normal subgroup is m-decomposable, m+1-decomposable, or m+2-decomposable for some positive integer m. Furthermore, we give classification for the soluble case. 相似文献
19.
Adrianna Gillman Patrick M. Young Per-Gunnar Martinsson 《Frontiers of Mathematics in China》2012,7(2):217-247
An algorithm for the direct inversion of the linear systems arising from Nyström discretization of integral equations on one-dimensional domains is described. The method typically has O(N) complexity when applied to boundary integral equations (BIEs) in the plane with non-oscillatory kernels such as those associated with the Laplace and Stokes’ equations. The scaling coefficient suppressed by the “big-O” notation depends logarithmically on the requested accuracy. The method can also be applied to BIEs with oscillatory kernels such as those associated with the Helmholtz and time-harmonic Maxwell equations; it is efficient at long and intermediate wave-lengths, but will eventually become prohibitively slow as the wave-length decreases. To achieve linear complexity, rank deficiencies in the off-diagonal blocks of the coefficient matrix are exploited. The technique is conceptually related to the ?- and ? 2-matrix arithmetic of Hackbusch and co-workers, and is closely related to previous work on Hierarchically Semi-Separable matrices. 相似文献