Zobrazeno 1 - 10
of 415
pro vyhledávání: '"Ward Whitt"'
Publikováno v:
Stochastic Systems, Vol 7, Iss 1, Pp 95-142 (2017)
To understand the performance of a queueing system, it can be useful to focus on the evolution of the content that is initially in service at some time. That necessarily will be the case in service systems that provide service during normal working h
Externí odkaz:
https://doaj.org/article/bc203d93dd8c441fbf7f4be292088c98
Autor:
Ohad Perry, Ward Whitt
Publikováno v:
Stochastic Systems, Vol 6, Iss 1, Pp 132-210 (2016)
Routing mechanisms for stochastic networks are often designed to produce state space collapse (SSC) in a heavy-traffic limit, i.e., to confine the limiting process to a lower-dimensional subset of its full state space. In a fluid limit, a control pro
Externí odkaz:
https://doaj.org/article/5d3079f7a0134b969f4a490f77b38fbc
Autor:
Ward Whitt, Ohad Perry
Publikováno v:
Stochastic Systems, Vol 1, Iss 1, Pp 59-108 (2011)
We study an ordinary differential equation (ODE) arising as the many-server heavy-traffic fluid limit of a sequence of overloaded Markovian queueing models with two customer classes and two service pools. The system, known as the X model in the call-
Externí odkaz:
https://doaj.org/article/32c622e1c76348acacd75c7fc27ec72e
Autor:
Ward Whitt, Yunan Liu
Publikováno v:
Stochastic Systems, Vol 1, Iss 2, Pp 340-410 (2011)
Under general conditions, the number of customers in a GI/D/s+GI many-server queue at time t converges to a unique stationary distribution as t → ∞. However, simulations show that the sample paths routinely exhibit nearly periodic behavior over l
Externí odkaz:
https://doaj.org/article/93da6d662a534cba813103fa3890d977
Autor:
Yan Chen, Ward Whitt
Publikováno v:
Queueing Systems. 102:553-556
Autor:
Kerry Fendick, Ward Whitt
Publikováno v:
Queueing Systems. 101:113-135
In this paper, we develop a diffusion approximation for the transient distribution of the workload process in a standard single-server queue with a non-stationary Polya arrival process, which is a path-dependent Markov point process. The path-depende
Autor:
Yan Chen, Ward Whitt
Publikováno v:
Queueing Systems. 101:197-220
Autor:
Ward Whitt, Wei You
Publikováno v:
Queueing Systems. 100:365-367
Autor:
Kerry W. Fendick, Ward Whitt
Publikováno v:
Journal of Applied Probability. 58:484-504
We study the transient and limiting behavior of a queue with a Pólya arrival process. The Pólya process is interesting because it exhibits path-dependent behavior, e.g. it satisfies a non-ergodic law of large numbers: the average number of arrivals
Autor:
Ward Whitt
Publikováno v:
Operations Research Letters. 49:316-319
Pender, Rand and Wesson recently established a delay differential equation limit for a parallel service system with routing based on delayed information. We provide an interpretation of their scaling under which their limit can be regarded as an inst