Title :
A two-phase queueing system with threshold
Author :
Kim, Tae Sung ; Chae, Kyung C.
Author_Institution :
Electron. & Telecommun. Res. Inst., Daejeon, South Korea
fDate :
6/20/1905 12:00:00 AM
Abstract :
We consider a single-server, two-phase queueing system with N-policy. Customers arrive at the system according to a Poisson process and receive a batch service in the first phase followed by individual services in the second phase. When the server completes second phase services, if the system becomes empty, it is turned off. After an idle period, when the queue length reaches N (threshold), the server is turned on and begins to serve customers. We obtain the system size distribution and show that the system size decomposes into three random variables. The system sojourn time is provided. The mean queue waiting is also obtained by heuristic interpretation. Finally we derive a condition under which the optimal operating policy is achieved
Keywords :
Poisson distribution; queueing theory; Laplace-Stieltjes transform; N-policy; Poisson process; batch service; first phase services; heuristic interpretation; linear cost structure; mean queue waiting; mean queue waiting times; optimal operating policy; probability generating function; queue length; random variables; second phase services; single-server system; steady state; system size distribution; system sojourn time; threshold; two-phase queueing system; Computer aided manufacturing; Cost function; Distribution functions; Manufacturing systems; Queueing analysis; Random variables; Telecommunication computing;
Conference_Titel :
Global Telecommunications Conference, 1998. GLOBECOM 1998. The Bridge to Global Integration. IEEE
Print_ISBN :
0-7803-4984-9
DOI :
10.1109/GLOCOM.1998.775779
