Analysis of a Single Server Queue with Working Vacation and Vacation Interruption
سال انتشار: 1398
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 91
فایل این مقاله در 11 صفحه با فرمت PDF قابل دریافت می باشد
- صدور گواهی نمایه سازی
- من نویسنده این مقاله هستم
استخراج به نرم افزارهای پژوهشی:
شناسه ملی سند علمی:
JR_IJMAC-9-1_006
تاریخ نمایه سازی: 27 دی 1401
چکیده مقاله:
In this paper, an M/M/۱ queue with working vacation and vacation interruption is investigated. The server is supposed to take a working vacation whenever the system becomes empty and if there are at least N customers waiting in the system at a service completion instant, vacation interruption happens and the server resumes a normal working period. A matrix geometric approach is employed to obtain the stationary distribution for mean queue length. Moreover, we have derived the distributions for the mean queue length and the mean waiting time and obtained their stochastic decomposition structures if N=۲. Finally, numerical examples are presented.
کلیدواژه ها:
نویسندگان
Shakir Majid
Annamalai University
P Manoharan
Annamalai University