Stochastic analysis of a single server unreliable queue with balking and general retrial time
Journal: Discrete and Continuous Models and Applied Computational Science (Vol.28, No. 4)Publication Date: 2020-12-10
Authors : Mohamed Boualem;
Page : 319-326
Keywords : Retrial queue; Markov chain; balking; breakdowns and repairs; stochastic orders; bounds; ageing classes;
Abstract
In this investigation, we consider an M/G/1 queue with general retrial times allowing balking and server subject to breakdowns and repairs. In addition, the customer whose service is interrupted can stay at the server waiting for repair or leave and return while the server is being repaired. The server is not allowed to begin service on other customers until the current customer has completed service, even if current customer is temporarily absent. This model has a potential application in various fields, such as in the cognitive radio network and the manufacturing systems, etc. The methodology is strongly based on the general theory of stochastic orders. Particularly, we derive insensitive bounds for the stationary distribution of the embedded Markov chain of the considered system.
Other Latest Articles
- Queueing systems with different types of renovation mechanism and thresholds as the mathematical models of active queue management mechanism
- EXPLORATIVE STUDY ON THE BEHAVIOR OF POCA PARTICIPANTS IN THEORETICAL PERSPECTIVE
- SECOND LANGUAGE ACQUISITION: KRASHEN’S MONITOR MODEL AND THE NATURAL APPROACH
- THE INNOVATIVE INDUSTRIAL СLUSTER CONCEPT OF REGIONAL MANAGEMENT FOR SUSTAINABLE DEVELOPMENT OF SOCIOECONOMIC SYSTEMS
- DATA, INFORMATION AND IT SECURITY - SOFTWARE SUPPORT FOR SECURITY ACTIVITIES
Last modified: 2020-12-10 07:28:40