A BULK SERVICE GI/M/1 QUEUE WITH SERVICE RATES DEPENDING ON SERVICE BATCH SIZE
نویسندگان
چکیده
منابع مشابه
Queue with Service Rates Depending on Service Batch Size
We consider a bulk service G I / M / l queue with service rates depending on service batch size. If there are n customers waiting at the completion of service, min(n, I\) customers enter service. We show that the queue size and the service batch size at points of arrivals form an embedded Markov chain and the steady-state probabilities of this Markov chain have the matrix geometric form. We des...
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 کاملA General Input Queue with N Policy and Service Rate Depending on Bulk Size
An embedded Markov chain is used to analyze a G/M/1 queuing system with N policy. When the system is empty, the server remains idle (deactivates) and does not start serving the waiting customers in the queue until the number of arrivals reaches N. The service is performed in batches of min(n, N) if there are n customers waiting at the completion of service. Service times of the server depend o...
متن کاملAnalysis of finite-buffer discrete-time batch-service queue with batch-size-dependent service
Over the last two decades there has been considerable growth in digital communication systems which operate on a slotted system. In several applications, transmission of packets over the network takes place in batches of varying size, and transmission time depends upon the size of the batch. Performance modelling of these systems is usually done using discrete-time queues. In view of this, we c...
متن کاملA Bulk Service Queue with a Choice of Service and Re-Service under Bernoulli Schedule
This paper investigates the queueing process of a bulk service queueing system under Bernoulli schedule. It also generalizes some known scenarios concerning the choice of service and re-service types. The queueing process is studied both in discrete time and in continuous time. Performance measures are derived and used to implement an optimal management policy of the system.
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: Journal of the Operations Research Society of Japan
سال: 1996
ISSN: 0453-4514,2188-8299
DOI: 10.15807/jorsj.39.25