Abstract A network of queueing-inventory systems is considered where the inventories are replenished by a common central server. Travel times for transport items send out from center and an adaptive dispatching regime to direct transportation towards locations with incorporated in model. The stationary distribution system product form explicitly given. An optimization procedure developed find g...

A number of nonlinear programming algorithms are proposed to obtain the approximate solutions for nonproduct form multiclass queueing network models, as well as priority queueing networks. Using sensitivity analysis, we develop an efficient iterative technique for closed queueing networks. We compare the approximate solutions obtained from our approach with the global balance solution. Examples...

In this paper we show that the waiting and the sojourn times of a customer in a single-stage, multiple-server, G / G /c queueing system are increasing and starshaped with respect to the mean service time. Usefulness of this result in the design of the optimal service speed in the G / G /c queueing system is also demonstrated. SECOND-ORDER PROPERTIES; SINGLE-STAGE QUEUEING SYSTEMS; STOCHASTIC ST...

Xiaoming Zhu Joseph M. Kahn University of California Department of Electrical Engineering and Computer Sciences 307 Cory Hall Berkeley, California 94720-1772 E-mail: [email protected] Abstract. Buffering with optical delay lines (ODLs) in optical packetswitching networks is a way to mitigate network contention. We study queueing models of ODLs in synchronous and asynchronous optical packe...

OBJECTIVES This research used queueing theory to analyze changes in outpatients' waiting times before and after the introduction of Electronic Medical Record (EMR) systems. METHODS We focused on the exact drawing of two fundamental parameters for queueing analysis, arrival rate (λ) and service rate (µ), from digital data to apply queueing theory to the analysis of outpatients' waiting times. ...

A network of single server queues with routing is considered. These networks have a product form stationary distribution. A new limit result proves a sequence of such networks converges weakly to a stochastic flow level model. This stochastic model is insensitive. A large deviation principle for the stationary distribution of these queueing networks is found. Its rate function has a dual formul...