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A Single Server Retrial Queueing System with Two Types of Batch Arrivals

A Single Server Retrial Queueing System with Two Types of Batch Arrivals

Kalyanaraman Rathinasabapathy
Copyright: © 2016 |Pages: 16
ISBN13: 9781522500445|ISBN10: 1522500448|EISBN13: 9781522500452
DOI: 10.4018/978-1-5225-0044-5.ch004
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MLA

Rathinasabapathy, Kalyanaraman. "A Single Server Retrial Queueing System with Two Types of Batch Arrivals." Stochastic Processes and Models in Operations Research, edited by Neelamegam Anbazhagan, IGI Global, 2016, pp. 55-70. https://doi.org/10.4018/978-1-5225-0044-5.ch004

APA

Rathinasabapathy, K. (2016). A Single Server Retrial Queueing System with Two Types of Batch Arrivals. In N. Anbazhagan (Ed.), Stochastic Processes and Models in Operations Research (pp. 55-70). IGI Global. https://doi.org/10.4018/978-1-5225-0044-5.ch004

Chicago

Rathinasabapathy, Kalyanaraman. "A Single Server Retrial Queueing System with Two Types of Batch Arrivals." In Stochastic Processes and Models in Operations Research, edited by Neelamegam Anbazhagan, 55-70. Hershey, PA: IGI Global, 2016. https://doi.org/10.4018/978-1-5225-0044-5.ch004

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Abstract

A retrial queueing system with two types of batch arrivals is considered. The arrivals are called type I and type II customers. The type I customers arrive in batches of size k with probability c_k and type II customers arrive in batches of size k with probability d_k. Service time distributions are identical independent distributions and are different for both type of customers. If the arriving customers are blocked due to server being busy, type I customers are queued in a priority queue of infinity capacity whereas type II customers entered into retrial group in order to seek service again after a random amount of time. For this model the joint distribution of the number of customers in the priority queue and in the retrial group in closed form is obtained. Some particular models and operating characteristics are obtained. A numerical study is also carried out.

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