Tightness of the stationary waiting time in heavy traffic

被引：6

作者：

Szczotka, W ^{[1
]}

机构：

[1] Univ Wroclaw, Inst Math, PL-50384 Wroclaw, Poland

来源：

ADVANCES IN APPLIED PROBABILITY | 1999年 / 31卷 / 03期

关键词：

single server queueing system; stationary waiting time; heavy traffic; tightness; mixing conditions;

D O I：

10.1017/S0001867800009411

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

Sufficient conditions are given ensuring tightness of a suitably; normalized stationary waiting time in the FIFO G/G/1 queue under heavy traffic.

引用

页码：788 / 794

页数：7

共 50 条

[1] Stationary distribution convergence of the offered waiting processes in heavy traffic under general patience time scaling
Chihoon Lee
Amy R. Ward
Heng-Qing Ye
Queueing Systems, 2021, 99 : 283 - 303
[2] Stationary distribution convergence of the offered waiting processes in heavy traffic under general patience time scaling
Lee, Chihoon
Ward, Amy R.
Ye, Heng-Qing
QUEUEING SYSTEMS, 2021, 99 (3-4) : 283 - 303
[3] Waiting-time distributions in polling systems in heavy traffic
van der Mei, RD
TELETRAFFIC ENGINEERING IN A COMPETITIVE WORLD, 1999, 3 : 325 - 334
[4] EXPONENTIAL APPROXIMATION OF WAITING TIME AND QUEUE SIZE FOR QUEUES IN HEAVY TRAFFIC
SZCZOTKA, W
ADVANCES IN APPLIED PROBABILITY, 1990, 22 (01) : 230 - 240
[5] RELATING THE WAITING TIME IN A HEAVY-TRAFFIC QUEUING SYSTEM TO THE QUEUE LENGTH
SERFOZO, RF
SZCZOTKA, W
TOPOLSKI, K
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1994, 52 (01) : 119 - 134
[6] Heavy Traffic Limits for the Extreme Waiting Time in Multi-phase Queueing Systems
Minkevicius, Saulius
Greicius, Edvinas
METHODOLOGY AND COMPUTING IN APPLIED PROBABILITY, 2019, 21 (01) : 109 - 124
[7] Heavy Traffic Limits for the Extreme Waiting Time in Multi-phase Queueing Systems
Saulius Minkevičius
Edvinas Greičius
Methodology and Computing in Applied Probability, 2019, 21 : 109 - 124
[8] Almost sure convergence of the waiting time for a G/G/1 queue in heavy traffic
Xia, Ye
STATISTICS & PROBABILITY LETTERS, 2025, 219
[9] Stationary distribution convergence of the offered waiting processes for GI/GI/1+GI queues in heavy traffic
Lee, Chihoon
Ward, Amy R.
Ye, Heng-Qing
QUEUEING SYSTEMS, 2020, 94 (1-2) : 147 - 173
[10] Stationary Waiting Time in Parallel Queues with Synchronization
Olvera-Cravioto, Mariana
Ruiz-Lacedelli, Octavio
MATHEMATICS OF OPERATIONS RESEARCH, 2021, 46 (01) : 1 - 27

← 1 2 3 4 5 →