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pro vyhledávání: '"David M. Lucantoni"'
Autor:
David M. Lucantoni, John N. Daigle
Publikováno v:
Numerical Solution of Markov Chains ISBN: 9781003210160
The behavior of many systems of practical interest in communications and other areas is well modeled by a single-server exponential queuing system in which the arrival and service rates are dependent upon the state of a Markov chain, the dynamics of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d8bcab4fa20366d545cf610cd31ec52b
https://doi.org/10.1201/9781003210160-10
https://doi.org/10.1201/9781003210160-10
Autor:
Daniel P. Heyman, David M. Lucantoni
Publikováno v:
IEEE/ACM Transactions on Networking. 11:948-958
We start with the premise, and provide evidence that it is valid, that a Markov-modulated Poisson process (MMPP) is a good model for Internet traffic at the packet/byte level. We present an algorithm to estimate the parameters and size of a discrete
Autor:
David M. Lucantoni
Publikováno v:
Communications in Statistics. Stochastic Models. 14:461-478
Previously, we derived the two-dimensional transforms of the emptiness function, the transient workload and queue-length distributions in the single-server queue with general service times and a batch Markovian arrival process (BMAP). This arrival pr
Publikováno v:
Operations Research. 45:451-463
We develop an algorithm for computing the (exact) cumulative distribution function of the time-dependent workload in a piecewise-stationary Mt/Gt/1 queue with a work-conserving service discipline and general service-time distributions, where service
Autor:
Gagan L. Choudhury, David M. Lucantoni
Publikováno v:
Operations Research. 44:368-381
We present a simple, fast, and robust algorithm for numerically computing the first N moments (arbitrary N) of a nonnegative probability distribution from its Laplace-Stieltjes transform (continuous/mixed case) or z-transform (discrete case). The alg
Autor:
Kin K. Leung, David M. Lucantoni
Publikováno v:
Performance Evaluation. 20:165-184
Two vacation models with constant time-limited service and vacation-dependent, time-limited service are proposed for the performance analysis of stations in timed-token networks (e.g., FDDI and IEEE 802.4 token bus). By the use of exponential time st
Publikováno v:
IEEE/ACM Transactions on Networking. 2:176-180
Models for predicting the performance of multiplexed variable bit rate video sources are important for engineering a network. However, models of a single source are also important for parameter negotiations and call admittance algorithms. In this pap
Autor:
Marcel F. Neuts, David M. Lucantoni
Publikováno v:
Journal of Applied Probability. 31:235-243
By an argument which involves matching sample paths, some useful equations for the probability distribution of the fundamental period in the MAP/G/1 queue are derived with less calculational effort than in earlier proofs. It is further shown that ana
Publikováno v:
Communications in Statistics. Stochastic Models. 10:145-182
We derive the two-dimensional transforms of the transient workload and queue-length distributions in the single-server queue with general service times and a batch Markovian arrival process (BMAP). This arrival process includes the familiar phase-typ
Autor:
David M. Lucantoni, Marcel F. Neuts
Publikováno v:
Communications in Statistics. Stochastic Models. 10:575-598
A detailed discussion of the stationary distributions of the classical descriptors of the MAP/SM/l queue with group arrivals is presented. As that model generalizes a large number of single server queueing models, the paper contains a unified mathema