Comments on a single server queue. (1995)

• Record Type: Journal Article
• Authors: Syski, Ryszard
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 8:Number 4(1995)
• Page Start: 331
• Page End: 340
• Publication Date: 1995
• Subjects: Beneš integral equation -- Dirichlet series -- martingales -- point processes -- semi-groups -- workload; Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S1048953395000293
• Languages: English
• ISSNs: 1048-9533

Abstract

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.