A discrete-time retrial queueing system with service upgrade
| العنوان: | A discrete-time retrial queueing system with service upgrade |
|---|---|
| المؤلفون: | Inmaculada Fortes, Ivan Atencia, Sixto Sánchez |
| المصدر: | Scopus-Elsevier RIUMA. Repositorio Institucional de la Universidad de Málaga instname ECMS |
| مصطلحات موضوعية: | Service (business), Mathematical optimization, Sojourn time, Stationary distribution, Markov chain, Computer science, Generating function, Stochastic decomposition, Retrials, Discrete-Time queueing system, Discrete-time model, Computer Science::Performance, Upgrade, Sistemas de tiempo discreto, Discrete time and continuous time, Decomposition (computer science), Orbit (control theory) |
| الوصف: | This paper considers a discrete-time retrial queueing system with displacements. The arriving customers can opt to go directly to the server obtaining immediately its service or to join the orbit. In the first case, the displaced customer goes directly to the orbit. The arrivals follow a geometrical law and the service times are general. We study the Markov chain underlying the considered queueing system obtaining the generating function of the number of customers in the orbit and in the system as well as the stationary distribution of the time that a customer spends in the server. We derive the stochastic decomposition law and as an application we give bounds for the proximity between the steady-state distributions for our queueing system and its corresponding standard system. |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f79da5155d662e7d0de010591b13124b http://www.scopus.com/inward/record.url?eid=2-s2.0-84938717655&partnerID=MN8TOARS |
| Rights: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....f79da5155d662e7d0de010591b13124b |
| قاعدة البيانات: | OpenAIRE |
كن أول من يترك تعليقا!