Multiserver Retrial Queues with Finite Number of Heterogeneous Sources∗
نویسندگان
چکیده
The aim of this paper is to investigate a multiserver retrial queueing system with a finite number of heterogeneous sources of calls. The novelty of the investigation is the heterogeneity of the sources, that is every source is characterized by different arrival, retrial and service rates. All random variables involved in the model construction are assumed to be exponentially distributed and independent of each other. The present paper generalizes the results for the same type of homogeneous retrial queueing system. The MOSEL (Modeling, Specification and Evaluation Language) language and software package, which was developed at the University of Erlangen, Germany, was used to formulate the model and to calculate the derived main performance measures. The effects of various system parameters on the system measures are displayed and analyzed graphically.
منابع مشابه
Standard and Retrial Queueing Systems: a Comparative Analysis
We describe main models and results of a new branch of the queueing theory, theory of retrial queues, which is characterized by the following basic assumption: a customer who cannot get service (due to finite capacity of the system, balking, impatience, etc.) leaves the service area, but after some random delay returns to the system again. Emphasis is done on comparison with standard queues wit...
متن کاملOn the Convergence of Truncated Processes of Multiserver Retrial Queues
Retrial queues can only be solved in a closed form in very few and simple cases, so researchers must resort to approximate models. However, most of the papers that propose approximate models assume the convergence of the proposed models to their exact counterparts, without providing a rigorous mathematical proof. In this paper we demonstrate the convergence of finite truncated models with two r...
متن کاملA matrix continued fraction approach to multiserver retrial queues
We consider basic M/M/c/c (c ≥ 1) retrial queues where the number of busy servers and that of customers in the orbit form a level-dependent quasi-birth-and-death (QBD) process with a special structure. Based on this structure and a matrix continued fraction approach, we develop an efficient algorithm to compute the joint stationary distribution of the numbers of busy servers and retrial custome...
متن کاملPerformance analysis of finite-source retrial queues operating in random environments
This paper is concerned with the performance analysis of finite-source retrial queues with heterogeneous sources operating in random environments. All random variables involved in the model construction are assumed to be exponentially distributed with a parameter depending on the source index and on the state of the corresponding random environment. The novelty of the investigation is the invol...
متن کاملPerformance Analysis of Finite-source Retrial Queues with Nonreliable Heterogenous Servers*
Retrial queueing models are often used for the performance and reliability modeling of computer systems and communication networks. The reason is that the return of customers plays a special role in many of these systems as well as in other practical applications, and it has a nonneglectable negative effect on the performance measures. For some applications of retrial queues, see, for example, ...
متن کامل