Performance analysis of a multiprogramming–multiprocessor retrial queueing system with orderly reattempts

B. Krishna Kumar (), A. Thanikachalam, V. Kanakasabapathi and R. Rukmani
Additional contact information
B. Krishna Kumar: Anna University
A. Thanikachalam: Anna University
V. Kanakasabapathi: Anna University
R. Rukmani: Pachaiyappa’s College

Annals of Operations Research, 2016, vol. 247, issue 1, No 14, 319-364

Abstract: Abstract This paper deals with retrial queueing models having an unlimited/a finite orbit capacity with control retrial policy of a multiprogramming–multiprocessor computer network system. Under the Markovian assumptions and light-traffic condition, the steady-state probabilities of the number of programs in the system and the mean number of programs in the orbit are studied using matrix geometric/analytic methods. The expressions for the Laplace-Stieglitz transforms of the busy period and the waiting time are obtained. The probability generating function for the number of retrials made by a tagged program is also derived. Some interesting performance measures of the system and the various moments of quantities of interest are discussed. Finally, extensive numerical results are illustrated to reveal the impact of the system parameters on the performance measures.

Keywords: Retrial queues; Multiprogramming; Multiprocessor; Computer network; Busy period; Waiting time; Number of retrials; First-step analysis (search for similar items in EconPapers)
Date: 2016
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://link.springer.com/10.1007/s10479-015-2005-3 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:annopr:v:247:y:2016:i:1:d:10.1007_s10479-015-2005-3

Ordering information: This journal article can be ordered from
http://www.springer.com/journal/10479

DOI: 10.1007/s10479-015-2005-3

Access Statistics for this article

Annals of Operations Research is currently edited by Endre Boros

More articles in Annals of Operations Research from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().