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...
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...
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...
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...
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...
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, ...
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...