• 文献检索
  • 文档翻译
  • 深度研究
  • 学术资讯
  • Suppr Zotero 插件Zotero 插件
  • 邀请有礼
  • 套餐&价格
  • 历史记录
应用&插件
Suppr Zotero 插件Zotero 插件浏览器插件Mac 客户端Windows 客户端微信小程序
定价
高级版会员购买积分包购买API积分包
服务
文献检索文档翻译深度研究API 文档MCP 服务
关于我们
关于 Suppr公司介绍联系我们用户协议隐私条款
关注我们

Suppr 超能文献

核心技术专利：CN118964589B侵权必究
粤ICP备2023148730 号-1Suppr @ 2026

文献检索

告别复杂PubMed语法，用中文像聊天一样搜索，搜遍4000万医学文献。AI智能推荐，让科研检索更轻松。

立即免费搜索

文件翻译

保留排版，准确专业，支持PDF/Word/PPT等文件格式，支持 12+语言互译。

免费翻译文档

深度研究

AI帮你快速写综述，25分钟生成高质量综述，智能提取关键信息，辅助科研写作。

立即免费体验

具有自相关服务时间的排队系统的工作量

Workload of Queueing Systems with Autocorrelated Service Times.

作者信息

Chydzinski Andrzej

机构信息

Department of Computer Networks and Systems, Silesian University of Technology, Akademicka 16, 44-100 Gliwice, Poland.

出版信息

Entropy (Basel). 2025 Mar 5;27(3):272. doi: 10.3390/e27030272.

DOI:10.3390/e27030272
PMID:40149196
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC11941239/
Abstract

The queuing model with autocorrelated service times is studied with respect to workload, i.e., the time needed to serve all the customers in the queue. Specifically, new formulas for the probability density of workload, its tail, the average value, and entropy are derived and illustrated using numerical examples. Both time-dependent and steady-state cases are covered. It is also demonstrated that the average workload may reach surprisingly large values, exceeding several times the product of the average queue size and the average service time.

摘要

针对具有自相关服务时间的排队模型，研究其工作量，即服务队列中所有客户所需的时间。具体而言，推导了工作量概率密度、其尾部、平均值和熵的新公式，并通过数值示例进行说明。涵盖了时间相关情况和稳态情况。还证明了平均工作量可能达到惊人的大值，超过平均队列大小与平均服务时间乘积的几倍。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e7e8/11941239/2d58c350bd12/entropy-27-00272-g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e7e8/11941239/f3268d4ef3ef/entropy-27-00272-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e7e8/11941239/c27972da2ad9/entropy-27-00272-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e7e8/11941239/11239ce94269/entropy-27-00272-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e7e8/11941239/9e68b8653d2d/entropy-27-00272-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e7e8/11941239/bcc3748a0e83/entropy-27-00272-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e7e8/11941239/8f6c5170fc4f/entropy-27-00272-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e7e8/11941239/58f8e61c76b2/entropy-27-00272-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e7e8/11941239/28ff664f0b3b/entropy-27-00272-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e7e8/11941239/ac3e59efd56c/entropy-27-00272-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e7e8/11941239/2d58c350bd12/entropy-27-00272-g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e7e8/11941239/f3268d4ef3ef/entropy-27-00272-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e7e8/11941239/c27972da2ad9/entropy-27-00272-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e7e8/11941239/11239ce94269/entropy-27-00272-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e7e8/11941239/9e68b8653d2d/entropy-27-00272-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e7e8/11941239/bcc3748a0e83/entropy-27-00272-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e7e8/11941239/8f6c5170fc4f/entropy-27-00272-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e7e8/11941239/58f8e61c76b2/entropy-27-00272-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e7e8/11941239/28ff664f0b3b/entropy-27-00272-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e7e8/11941239/ac3e59efd56c/entropy-27-00272-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e7e8/11941239/2d58c350bd12/entropy-27-00272-g010.jpg

相似文献

1
Workload of Queueing Systems with Autocorrelated Service Times.具有自相关服务时间的排队系统的工作量
Entropy (Basel). 2025 Mar 5;27(3):272. doi: 10.3390/e27030272.
2
On the Transient Queue with the Dropping Function.关于具有丢弃功能的瞬态队列
Entropy (Basel). 2020 Jul 28;22(8):825. doi: 10.3390/e22080825.
3
Entropy Analysis of a Flexible Markovian Queue with Server Breakdowns.具有服务器故障的灵活马尔可夫队列的熵分析。
Entropy (Basel). 2020 Sep 3;22(9):979. doi: 10.3390/e22090979.
4
Maximum entropy principle based estimation of performance distribution in queueing theory.基于最大熵原理的排队论中性能分布估计
PLoS One. 2014 Sep 10;9(9):e106965. doi: 10.1371/journal.pone.0106965. eCollection 2014.
5
Steady-State Analysis of a Flexible Markovian Queue with Server Breakdowns.具有服务器故障的灵活马尔可夫队列的稳态分析
Entropy (Basel). 2019 Mar 7;21(3):259. doi: 10.3390/e21030259.
6
Transient GI/MSP/1/N Queue.瞬态GI/MSP/1/N排队系统
Entropy (Basel). 2024 Sep 22;26(9):807. doi: 10.3390/e26090807.
7
Study on Infinite Buffer Batch Size Dependent Bulk Service Queue with Queue Length Dependent Vacation.具有与队列长度相关休假的无限缓冲区批量大小相关的批量服务队列研究
Int J Appl Comput Math. 2021;7(6):252. doi: 10.1007/s40819-021-01194-0. Epub 2021 Nov 22.
8
Fuzzy service control of queueing systems.排队系统的模糊服务控制
IEEE Trans Syst Man Cybern B Cybern. 1999;29(4):503-17. doi: 10.1109/3477.775266.
9
Queues with the dropping function and general service time.带有降服务时间功能的队列。
PLoS One. 2019 Jul 17;14(7):e0219444. doi: 10.1371/journal.pone.0219444. eCollection 2019.
10
Using the M/G/∞ queueing model to predict inpatient family medicine service census and resident workload.使用M/G/∞排队模型预测住院家庭医学服务普查和住院医师工作量。
Health Informatics J. 2016 Sep;22(3):429-39. doi: 10.1177/1460458214565949. Epub 2015 Jan 20.

本文引用的文献

1
Transient GI/MSP/1/N Queue.瞬态GI/MSP/1/N排队系统
Entropy (Basel). 2024 Sep 22;26(9):807. doi: 10.3390/e26090807.