Analysis Of M/{D_n}/1 Retrial Queue With Second Optional Service, Under Two Disciplines

  Maryam Bahrami,  Mohammad Reza Salehi-Rad

In this paper a single server retrial queue with second optional service is considered in which each customer takes discrete service time on value D_j with probability of p_j for obligatory service and F_k with probability of q_k for second optional service that each customer need this service with probability of θ. We also consider two disciplines for servicing customers; in first discipline, customers receive second optional service (if it is requested) immediately after obligatory service, in second discipline, if second optional service is requested, have to leave service area after obligatory service completion to retrial orbit, and try to be serviced after a exponentially distributed time. The joint steady-state distribution of the state of server and the number of customers in orbit is derived for both disciplines.

Keywords- Retrial queue; Feedback; Probability generating function; Steady State distribution

Unique Identification Number - IJEDR1403040
Page Number(s) - 3149-3145
Pubished in - Volume 2 | Issue 3 | Sept 2014
DOI (Digital Object Identifier) -   
Publisher - IJEDR (ISSN - 2321-9939)

  Maryam Bahrami,  Mohammad Reza Salehi-Rad,   "Analysis Of M/{D_n}/1 Retrial Queue With Second Optional Service, Under Two Disciplines", International Journal of Engineering Development and Research (IJEDR), ISSN:2321-9939, Volume.2, Issue 3, pp.3149-3145, Sept 2014, Available at :http://www.ijedr.org/papers/IJEDR1403040.pdf