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QUESTA
2007
88views more  QUESTA 2007»
14 years 10 months ago
On queues with service and interarrival times depending on waiting times
We consider an extension of the standard G/G/1 queue, described by the equation W D = max{0, B − A + Y W}, where P[Y = 1] = p and P[Y = −1] = 1 − p. For p = 1 this model red...
Onno J. Boxma, Maria Vlasiou
QUESTA
2006
119views more  QUESTA 2006»
14 years 10 months ago
Single-Server Queue with Markov-Dependent Inter-Arrival and Service Times
In this paper we study a single-server queue where the inter-arrival times and the service times depend on a common discrete time Markov Chain. This model generalizes the well-kno...
Ivo J. B. F. Adan, Vidyadhar G. Kulkarni
QUESTA
2011
14 years 1 months ago
Queues with waiting time dependent service
Motivated by service levels in terms of the waiting-time distribution seen in e.g. call centers, we consider two models for systems with a service discipline that depends on the w...
René Bekker, G. M. Koole, B. F. Nielsen, T....
SIGMETRICS
2010
ACM
122views Hardware» more  SIGMETRICS 2010»
14 years 9 months ago
Heavy-traffic limits for nearly deterministic queues
We establish heavy-traffic limits for nearly deterministic queues, such as the G/D/n many-server queue. Since waiting times before starting service in the G/D/n queue are equivale...
Karl Sigman, Ward Whitt
QEST
2010
IEEE
14 years 8 months ago
A Phase-Type Representation for the Queue Length Distribution of a Semi-Markovian Queue
Abstract--In this paper we study a broad class of semiMarkovian queues introduced by Sengupta. This class contains many classical queues such as the GI/M/1 queue, SM/MAP/1 queue an...
Benny Van Houdt