A repairable queueing model with two-phase service, start-up times and retrial customers

Authors:
Ioannis Dimitriou;Christos Langaris
Affiliations:
Department of Mathematics, University of Ioannina, 45110 Ioannina, Greece;Department of Mathematics, University of Ioannina, 45110 Ioannina, Greece
Venue:
Computers and Operations Research
Year:
2010

Citing 10
Cited 3

Retrial queues with server subject to breakdown and repairs

Queueing Systems: Theory and Applications - Special issue of queueing systems, theory and applications
Retrial queues revisited

Frontiers in queueing
On the single server retrial queue subject to breakdowns

Queueing Systems: Theory and Applications
Reliability Analysis of the Retrial Queue with Server Breakdowns and Repairs

Queueing Systems: Theory and Applications
An M/G/1 retrial queueing system with two phases of service subject to the server breakdown and repair

Performance Evaluation
Analysis of a retrial queue with two-phase service and server vacations

Queueing Systems: Theory and Applications
An M/G/1 queue with second optional service and server breakdowns

Computers & Mathematics with Applications
A two-stage batch arrival queueing system with a modified bernoulli schedule vacation under N-policy

Mathematical and Computer Modelling: An International Journal
Analysis of a two phase queueing system with general service times

Operations Research Letters
A study of two-phase service

Operations Research Letters

Comparison of two randomized policy M/G/1 queues with second optional service, server breakdown and startup

Journal of Computational and Applied Mathematics
A new computational algorithm for retrial queues to cellular mobile systems with guard channels

Computers and Industrial Engineering
Help desk center operating model as a two-phase queueing system

Problems of Information Transmission

Quantified Score

Hi-index	0.01

Visualization

Abstract

A repairable queueing model with a two-phase service in succession, provided by a single server, is investigated. Customers arrive in a single ordinary queue and after the completion of the first phase service, either proceed to the second phase or join a retrial box from where they retry, after a random amount of time and independently of the other customers in orbit, to find a position for service in the second phase. Moreover, the server is subject to breakdowns and repairs in both phases, while a start-up time is needed in order to start serving a retrial customer. When the server, upon a service or a repair completion finds no customers waiting to be served, he departs for a single vacation of an arbitrarily distributed length. The arrival process is assumed to be Poisson and all service and repair times are arbitrarily distributed. For such a system the stability conditions and steady state analysis are investigated. Numerical results are finally obtained and used to investigate system performance.