Two service units with interference in the access to servers
type: Item
instance of: scholarly article
title: Two service units with interference in the access to servers
zbMATH Open document ID: 0962.60084
DOI: 10.1155/S1048953399000313
author: M. F. Neuts
author: Rosa E. Lillo
published in: Journal of Applied Mathematics and Stochastic Analysis
publication date: 2000-11-26T00:00:00Z
full work available at URL: https://eudml.org/doc/48755
review text: The authors study a queueing system with two parallel servers, where a busy second server blocks the first server to a certain extent. Service time distributions are assumed to be of phase-type. Two different models are considered. From the authors summary: Their primary interest may lie in the methodology of their exceptionally tractable analysis. We derive formulas for the throughput and other quantities by using the familiar PH-formalism. These formulas turn out to be unusually transparent and have probabilistic interpretations that do not depend on the PH assumptions. These interpretations therefore also hold for general service time distributions. The methodology is general and can be applied to other systems with interactions between servers. The models also present interesting algorithmic problems of didactic interest.
reviewed by: Helmut Wegmann
Mathematics Subject Classification ID: 60K25
Mathematics Subject Classification ID: 90B22
zbMATH DE Number: 1452751
zbMATH Keywords: queueing systems
zbMATH Keywords: phase-type distributions
zbMATH Keywords: throughput analysis
MaRDI profile type: Publication
OpenAlex ID: W2126450294
Recommended article: Q4898559
Recommended article: Q3720271
Recommended article: Servers in tandem with communication and manufacturing blocking
Recommended article: Two-Server Network Disconnection Problem
Recommended article: Two Queues Attended by a Single Server
Recommended article: On Mutually Interfering Parallel Servers Subject to External Disturbances
Recommended article: Access control to two multiserver loss queues in series
Recommended article: Analysis of network server with customers two-stage service
description: scientific article; zbMATH DE number 1452751