Analysis of an N/G/1 finite queue with the supplementary variable method. (1999)

• Record Type: Journal Article
• Authors: Lee, Gyemin; Jeon, Jongwoo
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 12:Number 4(1999)
• Page Start: 429
• Page End: 434
• Publication Date: 1999
• Subjects: N-process -- elapsed service time -- imbedded Markov chain -- supplementary variable method -- Schur-Banachiewicz formula; 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/S1048953399000350
• Languages: English
• ISSNs: 1048-9533

Abstract

Abstract : In this paper, we suggest a new approach to the analysis of an N / G / 1 finite queue with the supplementary variable method. Compared to the conventional approach, our approach yields a simpler formula for the queue length distribution, which in turn gives a more efficient computational algorithm. Also, the new approach enables us to derive the joint density of the queue length and the elapsed service time.