publication . Article . 2020

Analysis of retrial queue with heterogeneous servers and Markovian arrival process

Mei Liu;
Open Access
  • Published: 01 Mar 2020 Journal: Informatics, volume 17, pages 29-38 (issn: 1816-0301, eissn: 2617-6963, Copyright policy)
  • Publisher: United Institute of Informatics Problems of the National Academy of Sciences of Belarus
Abstract
<jats:p>Multi-server retrial queueing system with heterogeneous servers is analyzed. Requests arrive to the system according to the Markovian arrival process. Arriving primary requests and requests retrying from orbit occupy an available server with the highest service rate, if there is any available server. Otherwise, the requests move to the orbit having an infinite capacity. The total retrial rate infinitely increases when the number of requests in orbit increases. Service periods have exponential distribution. Behavior of the system is described by multi-dimensional continuous-time Markov chain which belongs to the class of asymptotically quasi-toeplitz Mark...
Persistent Identifiers
Subjects
arXiv: Computer Science::PerformanceComputer Science::Operating Systems
free text keywords: heterogeneous servers, retrials, asymptotically quasi-toeplitz markov chain, Server, Markovian arrival process, Retrial queue, Computer network, business.industry, business, Computer science, lcsh:Electronic computers. Computer science, lcsh:QA75.5-76.95
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