Journal of Applied Mathematics and Stochastic Analysis 
Volume 8 (1995), Issue 4, Pages 331-340
doi:10.1155/S1048953395000293

Comments on a single server queue

Ryszard Syski

University of Maryland, Department of Mathematics, College Park 20742, MD, USA

Received 1 May 1995; Revised 1 August 1995

Abstract

A review of the work of V.E. Benĕs and P. Brémaud on a single-server queue G/G/1 is interpreted in terms of point processes and associated martingales.

A concept of a discounted workload is introduced, and its connection with random Dirichlet series and associated semigroups is investigated.