Stationary remaining service time conditional on queue length

被引：7

作者：

Sigman, Karl

Yechiali, Uri ^{[1
]}

机构：

[1] Tel Aviv Univ, Dept Stat & Operat Res, IL-69978 Tel Aviv, Israel

[2] Columbia Univ, Dept IEOR, New York, NY 10027 USA

来源：

OPERATIONS RESEARCH LETTERS | 2007年 / 35卷 / 05期

关键词：

M/G/I; conditional residual service time; rate conservation law;

D O I：

10.1016/j.orl.2006.11.003

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In Mandelbaum and Yechiali [The conditional residual service time in the M/G/1 queue, http://www.math.tau.ac.il/similar to uriy/ publications (No. 30a), 1979] and in Fakinos [The expected remaining service time in a single-server queue, Oper. Res. 30 (1982) 1014-1018] a simple formula is derived for the (stationary) expected remaining service time in a M/G/1 queue, conditional on the number of customers in the system. We give a short new proof of the formula using Rate Conservation Law, and generalize to handle higher moments. (C) 2006 Elsevier B.V. All rights reserved.

引用

页码：581 / 583

页数：3

共 5 条

[1]

[Anonymous], 1995, STATIONARY MARKED PO

[2] THE EXPECTED REMAINING SERVICE TIME IN A SINGLE-SERVER QUEUE [J].