Retrial queue

About: Retrial queue is a research topic. Over the lifetime, 784 publications have been published within this topic receiving 12354 citations.

A markovian two commodity queueing–inventory system with compliment item and classical retrial facility

Abstract: This paper explores the two-commodity (TC) inventory system in which commodities are classified as major and complementary items. The system allows a customer who has purchased a free product to conduct Bernoulli trials at will. Under the Bernoulli schedule, any entering customer will quickly enter an orbit of infinite capability during the stock-out time of the major item. The arrival of a retrial customer in the system follows a classical retrial policy. These two products' re-ordering process occurs under the \((s, Q)\) and instantaneous ordering policies for the major and complimentary items, respectively. A comprehensive analysis of the retrial queue, including the system's stability and the steady-state distribution of the retrial queue with the stock levels of two commodities, is carried out. The various system operations are measured under the stability condition. Finally, numerical evidence has shown the benefits of the proposed model under different random situations.

An analysis of retrial queue with setup time in single server general service model for two different group of customers

Abstract: We consider a single server general service model with setup time retrial queue, for two different group of customers. Also in this paper the probability generating function of number of customers in two types of groups is obtained by using supplementary variable technique.

Analysis of M 1 , M 2 /M 1 , M 2 /N Retrial Queue System with Non-Preemptive Priority

Abstract: We consider the multi-server queueing system with an infinite retry orbit and a finite priority group. Arriving priority customers find that all the positions of priority group are occupied and join the orbit; these customers become the ordinary customers. Arriving ordinary customers find all servers busy and join the orbit directly. The model is quite general enough to cover most of the systems in communication networks. The arrival rates and service rates of ordinary customers and priority customers are different in our research. We derive the steady state condition and the main performance indexes of the system. The effects of various parameters on the system performance measures are illustrated numerically.

A matrix geometric approach to the M/M/1 two-phase multi optional retrial queue with Bernoulli feedback, impatient customers and a server subject to breakdown and repair

Abstract: In this paper, we use the matrix geometric approach to analyze the behaviour of an Interactive Voice Response System (IVRS). We model the system as an M/M/1 retrial queue with two phases of service (the second service is multi optional), Bernoulli feedback, impatient customers and the possibility of server breakdown and repair. We study the stability of the system by employing the Neuts and Rao (Queueing Syst. 7, 169–190 (1990)) truncation method and then we study the level dependent QBD (Quasi-Birth Death) model obtained by the above truncation method to obtain expressions for the performance measures of the system. Numerical illustrations are provided to study the sensitivity of the performance measures of the system to the changes in various parameters of the system.