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
收藏
页码：788 / 794
页数：7
相关论文
共 50 条
  • [41] Estimation Vehicular Waiting Time at Traffic Build-Up Queues
    Ata, Mohamed Maher
    El-Darieby, Mohamed
    Abdulhai, Baher
    Felemban, Emad
    Basalamah, Saleh
    Zafar, Basim
    INTERNATIONAL JOURNAL OF DISTRIBUTED SENSOR NETWORKS, 2013,
  • [42] Mean and variance of waiting time and their optimization for alternating traffic control systems
    Hideaki Yamashita
    Yo Ishizuka
    Shigemichi Suzuki
    Mathematical Programming, 2006, 108 : 419 - 433
  • [43] Design of Traffic Flow Simulation System to Minimize Intersection Waiting Time
    Jang Seung-Ju
    INTERNATIONAL JOURNAL OF ADVANCED COMPUTER SCIENCE AND APPLICATIONS, 2018, 9 (05) : 46 - 50
  • [44] STATIONARY WAITING-TIME DISTRIBUTIONS IN THE GI-PH-1 QUEUE
    NEUTS, MF
    JOURNAL OF APPLIED PROBABILITY, 1981, 18 (04) : 901 - 912
  • [45] QUASI-STATIONARY DISTRIBUTION OF VIRTUAL WAITING TIME IN QUEUES WITH POISSON ARRIVALS
    KYPRIANOU, EK
    JOURNAL OF APPLIED PROBABILITY, 1971, 8 (03) : 494 - +
  • [46] Universal heavy-tailed behavior in waiting time distribution in a queue
    Kim, Jin Seop
    Kahng, Byungnam
    Kim, Doochul
    JOURNAL OF THE KOREAN PHYSICAL SOCIETY, 2008, 52 : S171 - S175
  • [47] Optimal model of taxi waiting time fee under traffic congestion condition
    Yuan, Chang-Wei
    Mi, Xue-Yu
    Wu, Qun-Qi
    Wei, Da-Li
    Jiaotong Yunshu Gongcheng Xuebao/Journal of Traffic and Transportation Engineering, 2014, 14 (02): : 75 - 81
  • [48] Waiting Time Analysis for the M/G/1 Queuing System with Correlated Traffic
    Kartashevskiy, Igor
    2017 4TH INTERNATIONAL SCIENTIFIC-PRACTICAL CONFERENCE PROBLEMS OF INFOCOMMUNICATIONS-SCIENCE AND TECHNOLOGY (PIC S&T), 2017, : 268 - 272
  • [49] Modeling and Optimal Dynamic Control of Traffic Junction using Waiting Time Minimization
    Ciganek, Jan
    Osusky, Jakub
    2017 INTL CONF ON ADVANCED CONTROL CIRCUITS SYSTEMS (ACCS) SYSTEMS & 2017 INTL CONF ON NEW PARADIGMS IN ELECTRONICS & INFORMATION TECHNOLOGY (PEIT), 2017, : 67 - 72
  • [50] Waiting time analysis for the generalized PEDF and HOLPRO algorithms in a system with heterogeneous traffic
    Varsou, AC
    Poor, HV
    IEEE VTC 53RD VEHICULAR TECHNOLOGY CONFERENCE, SPRING 2001, VOLS 1-4, PROCEEDINGS, 2001, : 2152 - 2156
12345