Server Workload in an M/M/1 Queue with Bulk Arrivals and Special Delays
نویسندگان
چکیده
منابع مشابه
Analysis of unreliable bulk queue with statedependent arrivals
In this paper, we investigate a single-server Poisson input queueing model, wherein arrivals of units are in bulk. The arrival rate of the units is state dependent, and service time is arbitrary distributed. It is also assumed that the system is subject to breakdown, and the failed server immediately joins the repair facility which takes constant duration to repair the server. By using suppl...
متن کاملSingle Server Bulk Queue with Service Interruption, Two Phase Repairs and State Dependent Rates
This paper reports a study on a single server queue with bulk arrival and bulk service patterns wherein the incoming traffic depends on the state of the server which may be in operating or breakdown state. The repair of the breakdown server is performed in two phases. The operating duration of server, repair duration of both phases of repairing as well as job's inter-arrival times and service t...
متن کاملQueue dependent additional server queueing problem with batch arrivals
— We consider in this paper the steady state behaviour of a Queueing System with queue length dependent additional server facility wherein arrivais occur in batches of variable size. Whenever the queue length in front of the first server reaches a certain lenght, the system adds another server. Steady state probabilities and expected queue lengths in Single Server System and Additional Server S...
متن کاملAn Invariance in the Priority Queue with Generalized Server Vacations and Structured Batch Arrivals
Shanthikumar [10] studied the priority M/G/1 queue with server vacations and found that the difference between the waiting time distribution under the non-preemptive priority and that under the preemptive-resume priority is independent of the vacation policy. We extend this interesting property i) to the generalized vacations which includes the two vacation policies considered by Shanthikumar, ...
متن کاملQueue with Heterogeneous Server Under Resequencing Constraint
In this paper, a markovian queue with two types of servers and buffer space is considered. The resequencing constraint is imposed according to which the customers leave the system in the same order in which they entered it. For finite buffer queue, the steady state queue size distribution has been obtained.?
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Applied Mathematics
سال: 2012
ISSN: 2152-7385,2152-7393
DOI: 10.4236/am.2012.312a298