山东工业技术
山東工業技術
산동공업기술
Shandong Industrial Technology
2014年
5期
10-11,14
,共3页
单重工作休假%止步%稳态概率%矩阵解法%性能指标
單重工作休假%止步%穩態概率%矩陣解法%性能指標
단중공작휴가%지보%은태개솔%구진해법%성능지표
Single working vacation%Reneging%Teady-state probability%Matrix solution method%Performance measures
研究了一个带有中途退出的M/M/1/N单重工作休假排队系统。服务员在假期中以较低的速率服务顾客而非停止工作。利用马尔科夫过程理论和矩阵解法求出了稳态概率的矩阵解,并得到了系统的平均队长、平均等待队长以及顾客的消失概率等性能指标。
研究瞭一箇帶有中途退齣的M/M/1/N單重工作休假排隊繫統。服務員在假期中以較低的速率服務顧客而非停止工作。利用馬爾科伕過程理論和矩陣解法求齣瞭穩態概率的矩陣解,併得到瞭繫統的平均隊長、平均等待隊長以及顧客的消失概率等性能指標。
연구료일개대유중도퇴출적M/M/1/N단중공작휴가배대계통。복무원재가기중이교저적속솔복무고객이비정지공작。이용마이과부과정이론화구진해법구출료은태개솔적구진해,병득도료계통적평균대장、평균등대대장이급고객적소실개솔등성능지표。
An M/M/1/N queuing system was considered with reneging and single working vacation. The server works at a lower rate rather than completely stops service during the vacation period. First, the matrix form solution of the steady-state probability was derived by the Markfov process method and the matrix solution method. Some performance measures of the system such as the expected number of customers in the system or in the queue and the loss probability of the customer were also presented.