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一类多级适应性休假的串联可修系统分析
  • ISSN号：1000-5781
  • 期刊名称：系统工程学报
  • 时间：2014.2.1
  • 页码：126-134
  • 分类：O213.2[理学—概率论与数理统计;理学—数学] O226[理学—运筹学与控制论;理学—数学]
  • 作者机构：[1]四川师范大学数学与软件科学学院,四川成都610066
  • 相关基金：国家自然科学基金资助项目(71171138;70871084)
  • 相关项目：基于排队分析技术的随机环境下供应链库存理论及应用研究
作者： 刘仁彬|邓朝辉|刘锋|
关键词： 修理设备, 服务台, 排队系统, 可更换, 排队指标, 可靠性指标, repair facility, service station, queueing system, replaceable, queueing index, reliability index
中文摘要：

把“修理设备可发生故障”首次引入到可修排队系统研究中，考虑修理设备可更换的M／G／1可修排队系统．假设服务台的寿命服从负指数分布，失效后的修理时间服从任意分布，而且修理设备在修理失效服务台的过程中也可能发生故障，其寿命服从负指数分布，更换修理设备所需时间服从任意分布，使用全概率分解技术，利用Laplace变换和Laplace—Stieltjes变换工具，讨论了系统的排队指标和服务台的可靠性指标，同时重点讨论了修理设备的瞬态不可用度、稳态不可用度，以及在（0，他）时间内的平均更换次数和稳态故障频度．

英文摘要：

This paper considers the M/G/1 repairable queueing system with a replaceable repair facility in which the ＂repair facility subject to breakdowns＂ is firstly introduced. Assume that the lifetime of the service station follows an exponential distribution and the repair time of the failed service station follows an any distribution. Furthermore, the repair facility may fails in the process of repairing the failed service station, in which the lifetime of the repair facility also follows an exponential distribution and the replaceable time of the failed repair facility has a general distribution. By using the total probability decomposition technique and employing the Laplace transform and Laplace-Stieltjes transform, the queueing indices of the system and the reliability indices of the service station are discussed. Meanwhile, the emphasis is upon obtained some reliability indices of the repair facility, such as the transient-state and steady-state unavailability, the expected replacement number during （0, t] and the steady-state failure frequency.

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基于排队分析技术的随机环境下供应链库存理论及应用研究
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期刊信息
  • 《系统工程学报》
  • 北大核心期刊（2014版）
  • 主管单位:中国科协
  • 主办单位:中国系统工程学会
  • 主编：唐万生
  • 地址：天津市卫津路92号
  • 邮编：300072
  • 邮箱：jsetju@263.net
  • 电话：022-27403197
  • 国际标准刊号：ISSN：1000-5781
  • 国内统一刊号：ISSN：12-1141/O1
  • 邮发代号:6-95
  • 获奖情况:
  • 国内外数据库收录:
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  • 被引量:14850