Occupation times for the finite buffer fluid queue with phase-type ON-times

被引：1

作者：

Starreveld, N. J. ^{[1
]}

Bekker, R. ^{[2
]}

Mandjes, M. ^{[1
,3
,4
]}

机构：

[1] Univ Amsterdam, Korteweg De Vries Inst Math, Sci Pk 904, NL-1098 XH Amsterdam, Netherlands

[2] Vrije Univ Amsterdam, Dept Math, Boelelaan 1081A, NL-1081 HV Amsterdam, Netherlands

[3] Eindhoven Univ Technol, EURANDOM, Eindhoven, Netherlands

[4] CWI, Amsterdam, Netherlands

来源：

OPERATIONS RESEARCH LETTERS | 2018年 / 46卷 / 01期

关键词：

Occupation time; Fluid model; Phase-type distribution; Doubly reflected process; Finite buffer queue; LEVY PROCESSES;

D O I：

10.1016/j.orl.2017.10.012

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 this short communication we study a fluid queue with a finite buffer. The performance measure we are interested in is the occupation time over a finite time period, i.e., the fraction of time the workload process is below some fixed target level. Using an alternating renewal sequence, we determine the double transform of the occupation time; the occupation time for the finite buffer M/G/1 queue with phase-type jumps follows as a limiting case. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：27 / 32

页数：6

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