چکیده مقاله
In this study, we investigate a class of Markovian queueing systems where a controller examines the queue at times dictated by a Poisson process At each examination, the controller adjusts the server speed to the lesser of the current queue length or a predefined maximum speed, maintaining this adjusted speed until the next examination This mechanism introduces a two dimensional Markov process characterized by the queue length and server speed We explore the behavior of this system under two distinct regimes of control timing: infinitely frequent and infinitely infrequent examinations These regimes provide foundational insights, while the intermediate regime presents significant analytical challenges due to the complex interplay between arrival, service, and control processes For the infinite maximum speed case s ̅=∞ , we derive the joint generating function of the steady state process using functional equations and analyze the asymptotic behavior for both high and low control rates For the finite maximum speed scenario s ̅
کلیدواژهها
نویسندگان
Hassan Javanshir
Department of Industrial Engineering, Islamic Azad University, Science and Research Branch, Tehran, Iran
Mostafa Balali
Mechanical Engineering Department, University of Birjand, Birjand, Iran
Mohsen Beynaghi
Mechanical Engineering Department, Babol Noshirvani University of Technology, Babol, Iran
Ashkan Keyhanian
Department of Industrial Engineering, Islamic Azad University, Science and Research Branch, Tehran, Iran
شیوه ارجاع
Javanshir, Hassan and Keyhanian, Ashkan,1403,Impact of Poisson Control on Markovian Queue Performance,16th International Conference on Mechanical, Construction Industrial & Civil Engineering
ارائهشده در
مجموعه مقالات شانزدهمین کنفرانس بین المللی مکانیک، ساخت، صنایع و مهندسی عمران31 تیر 1403