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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
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
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
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
96views more  QUESTA 2008»
13 years 5 months ago
Reduction of a polling network to a single node
We consider a discrete-time tree network of polling servers where all packets are routed to the same node (called node 0), from which they leave the network. All packets have unit...
Paul Beekhuizen, Dee Denteneer, Jacques Resing