辽宁工程技术大学学报(自然科学版)
遼寧工程技術大學學報(自然科學版)
료녕공정기술대학학보(자연과학판)
JOURNAL OF LIAONING TECHNICAL UNIVERSITY NATURAL SCIENCE EDITION
2013年
1期
123-126
,共4页
裴秀艳%岳德权%陈红%候珍珍
裴秀豔%嶽德權%陳紅%候珍珍
배수염%악덕권%진홍%후진진
负顾客%正常故障%异常故障%补充变量法%稳态概率方程%概率母函数%队长分布%可修排队系统
負顧客%正常故障%異常故障%補充變量法%穩態概率方程%概率母函數%隊長分佈%可脩排隊繫統
부고객%정상고장%이상고장%보충변량법%은태개솔방정%개솔모함수%대장분포%가수배대계통
negative customer%normal breakdown%abnormal breakdown%supplemental variable%steady-state probability equations%probability generation function%queuing%repairable queuing system
为解决服务台在工作状态可能出现的正常故障和由于服务员的操作失误或外来信号的干扰等引起服务台异常故障这一类问题,采用补充变量法和状态转移研究了具有正、负两类顾客且负顾客到达引起服务台异常故障的可修排队系统,其中正常故障是由于服务台寿命引起的.结果表明:负顾客到达率越高,系统处于故障状态的概率越大,系统中平均等待的顾客数越少.给出了系统处于各个状态的概率及系统的一些稳态排队指标.相关的数值算例为实际应用提供理论参考.
為解決服務檯在工作狀態可能齣現的正常故障和由于服務員的操作失誤或外來信號的榦擾等引起服務檯異常故障這一類問題,採用補充變量法和狀態轉移研究瞭具有正、負兩類顧客且負顧客到達引起服務檯異常故障的可脩排隊繫統,其中正常故障是由于服務檯壽命引起的.結果錶明:負顧客到達率越高,繫統處于故障狀態的概率越大,繫統中平均等待的顧客數越少.給齣瞭繫統處于各箇狀態的概率及繫統的一些穩態排隊指標.相關的數值算例為實際應用提供理論參攷.
위해결복무태재공작상태가능출현적정상고장화유우복무원적조작실오혹외래신호적간우등인기복무태이상고장저일류문제,채용보충변량법화상태전이연구료구유정、부량류고객차부고객도체인기복무태이상고장적가수배대계통,기중정상고장시유우복무태수명인기적.결과표명:부고객도체솔월고,계통처우고장상태적개솔월대,계통중평균등대적고객수월소.급출료계통처우각개상태적개솔급계통적일사은태배대지표.상관적수치산례위실제응용제공이론삼고.
@@@@To overcome the normal breakdown occurred in working status and the abnormal breakdown caused by the attendant operational errors or external signal interference, this study investigates the repairable queuing system with two types of customers: positive and negative, the abnormal breakdown caused negative customers, and the normal breakdown caused by the service life termination using the method of supplemental variables and state transfers. The results show that the probability of the system in repaired status increases and the average number of customers decreases as the arrival rate of negative customer increases. The study provides the probability of each state and some queuing indexes in a stable state. In addition, the numerical examples provide a theoretical reference for its practical application.