An M/Em/1 Queue with Protected and Unprotected Phases from Interruption
An M/Em/1 queueing system,where the service process is subject to interruptions has been studied. The final n phases of the service process are assumed as protected in the sense that the service will not be interrupted while being in hese phases,whereas interruptions to service can occur in the first m-n phases of service.Interupted server is repaired immediately with repair times following an exponential distribution. A random clock is started at the beginning of each repair to decide whether to restart or resume the service after repair. If the random clock realizes before a repair,the service needs to be restarted,otherwise the service is resumed in the phase from where interruption occurred. The random clock also follows an exponential distribution. Stability of the above system is analyzed and the steady state distribution is obtained using Matrix Analytic Methods. An optimal value for the number of protected phases has been investigated numerically. Numerical study of other important system performance measures has also been carried out.
service interruption Protected phases Matrix geometric method
A. Krishnamoorthy B. Gopakumar Viswanath C. Narayanan
Department of Mathematics Cochin University of Science and Technology Kochi-22,India Department of Mathematics Government Engineering College Thrissur-9 India Department of Mathematics Government Engineering College Thrissur-9,India
国际会议
北京
英文
208-211
2010-07-24（万方平台首次上网日期，不代表论文的发表时间）