CAJ | 학술논문

研究Bernoulli到达且无等待空间的单服务员离散时间可修Erlang消失排队系统.系统中服务员可向顾客提供两种不同类型的服务,即常规服务和可选二次服务.在系统运行过程中服务设备的故障可以引起系统中顾客的清空.采用一种新型的离散补充变量技术,给出了系统稳态可用度,稳态失效频度,首次故障前平均时间,服务员空闲概率,故障概率,工作概率以及系统稳态损失概率等一系列性能指标.最后通过数值实例和计算机仿真验证了理论分析技术的合理性和有效性.
연구Bernoulli도체차무등대공간적단복무원리산시간가수Erlang소실배대계통.계통중복무원가향고객제공량충불동류형적복무,즉상규복무화가선이차복무.재계통운행과정중복무설비적고장가이인기계통중고객적청공.채용일충신형적리산보충변량기술,급출료계통은태가용도,은태실효빈도,수차고장전평균시간,복무원공한개솔,고장개솔,공작개솔이급계통은태손실개솔등일계렬성능지표.최후통과수치실례화계산궤방진험증료이론분석기술적합이성화유효성.
We study a single server discrete-time repairable Erlang loss system with Bernoulli arrival process and no waiting space. The server in the system is assumed to provide two different types of services, namely regular and optional services, to the customer. During the operation of the system, the breakdown of the service facility can induce customer to leave the system immediately. Applying a new type discrete supplementary variable technique, we obtain some performance characteristics, such as the steady-state availability, failure frequency of the system, mean time to the first failure, probabilities for the server being idle, busy, breakdown and the steady-state loss probability of the system etc. At last, by the numerical examples and computer simulation analysis, we prove the rationality and validity of the theoretical analysis technique.