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QUESTA
2008
107views more  QUESTA 2008»
13 years 5 months ago
Queues where customers of one queue act as servers of the other queue
We consider a system comprised of two connected M/M/
Efrat Perel, Uri Yechiali
QUESTA
2008
382views more  QUESTA 2008»
13 years 5 months ago
A note on stable flow-equivalent aggregation in closed networks
We introduce the Conditional Mean Value Analysis (CMVA) algorithm, an exact solution method for product-form load-dependent closed queueing networks that provides a numerically st...
Giuliano Casale
QUESTA
2008
89views more  QUESTA 2008»
13 years 5 months ago
The asymptotic variance rate of the output process of finite capacity birth-death queues
We analyze the output process of finite capacity birth-death Markovian queues. We develop a formula for the asymptotic variance rate of the form + vi where is the rate of outputs...
Yoni Nazarathy, Gideon Weiss
QUESTA
2008
70views more  QUESTA 2008»
13 years 5 months ago
A note on the event horizon for a processor sharing queue
In this note we identify a phenomenon for processor sharing queues that is unique to ones with time-varying rates. This property was discovered while correcting a proof in Hampshi...
Robert C. Hampshire, William A. Massey
QUESTA
2008
73views more  QUESTA 2008»
13 years 5 months ago
Optimal control of parallel server systems with many servers in heavy traffic
We consider a parallel server system that consists of several customer classes and server pools in parallel. We propose a simple robust control policy to minimize the total linear...
J. G. Dai, Tolga Tezcan
QUESTA
2008
110views more  QUESTA 2008»
13 years 5 months ago
On Kelly networks with shuffling
We consider Kelly networks with shuffling of customers within each queue. Specifically, each arrival, departure or movement of customer from one queue to another triggers a shuffl...
T. Bonald, M.-A. Tran
QUESTA
2008
82views more  QUESTA 2008»
13 years 5 months ago
Corrected asymptotics for a multi-server queue in the Halfin-Whitt regime
To obtain insight in the quality of heavy-traffic approximations for queues with many servers, we consider the steady-state number of waiting customers in an M/D/s queue as s . I...
Augustus J. E. M. Janssen, Johan van Leeuwaarden, ...
QUESTA
2008
205views more  QUESTA 2008»
13 years 5 months ago
Continuity of the M/G/c queue
Consider an M/G/c queue with homogeneous servers and service time distribution F. It is shown that an approximation of the service time distribution F by stochastically smaller di...
Lothar Breuer