On Two-Level State-Dependent Routing Polling Systems with Mixed Service. (18th October 2015)

• Record Type: Journal Article
• Authors: Zheng, Guan; Zhijun, Yang; Wenhua, Qian; Min, He
• Other Names: Liu Ruihua Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2015(2015)
• Publication Date: 2015-10-18
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2015/109325
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : Based on priority differentiation and efficiency of the system, we consider anN+1 queues' single-server two-level polling system which consists of one key queue andN normal queues. The novel contribution of the present paper is that we consider that the server just polls active queues with customers waiting in the queue. Furthermore, key queue is served with exhaustive service and normal queues are served with 1-limited service in a parallel scheduling. For this model, we derive an expression for the probability generating function of the joint queue length distribution at polling epochs. Based on these results, we derive the explicit closed-form expressions for the mean waiting time. Numerical examples demonstrate that theoretical and simulation results are identical and the new system is efficient both at key queue and normal queues.