The blocking protocols of "stopping service" and of "recirculating" jobs through an entire system are shown to be equivalent for Jacksonian queueing networks with blocked departures. Queueing networks * product-form * stopping and recirculating blocking protocol •* partial balance.

A queue is a waiting line (like customers waiting at a supermarket checkout counter); queueing theory is the mathematical theory of waiting lines. More generally, queueing theory is concerned with the mathematical modeling and analysis of systems that provide service to random demands. A queueing model is an abstract description of such a system. Typically, a queueing model represents (1) the s...

The objective of this paper is to study the M/M/R machine repair queueing system with mixed standbys. The life-time and repair time of units are assumed to be exponentially distributed. Failed units are repaired on FCFS basis. The standbys have switching failure probability q (0≤q≤1). The repair facility of the system consists of R permanent as well as r additional removable repairmen. Due to i...

This is a survey of some academic research on telephone call centers. The surveyed research has its origin in, or is related to, queueing theory. Indeed, the “queueing-view” of call centers is both natural and useful. Accordingly, queueing models have served as prevalent standard support tools for call center management. However, the modern call center is a complex socio-technical system. It th...

We consider a discrete-time G e o / 1 ∞ system in which customer that finishes its first essential service may opt to abandon the system, receive second optional or go at head of queue order another service. study Markov chain underlying considered queueing and ergodicity condition. Using generating function approach distribution number customers as well their respective means are given. The bu...

In this paper, we investigate a single-server Poisson input queueing model, wherein arrivals of units are in bulk. The arrival rate of the units is state dependent, and service time is arbitrary distributed. It is also assumed that the system is subject to breakdown, and the failed server immediately joins the repair facility which takes constant duration to repair the server. By using suppl...