The M/G/1 retrial queue: New descriptors of the customer's behavior

摘要

We consider queuing systems where customers are not allowed to queus, instead of that thay make repeated attempts, or retrials, in Order to enter. service after some lime. The performance of telephone systems and communication networks modelled as retrial queues differs from standard waiting lines because typically the retrial group is an invisible queue which cannot be Observed. As a lestill. the orginigal flow of primary arrivals and the flow of repeated attempts become undistinguished. Our aim in this paper is to consider some aspects of this problem. Thus we focus on the main retrial model of M/G/1 type and investigate the distribution of successful and blocked events made by the primary customers and the retrial customers. (C) 2007 Elsevier B.V. All rights reserved.