Steady state analysis of a bulk queue with multiple vacations, setup times with N-policy and closedown times
نویسندگان
چکیده
منابع مشابه
Analysis of a Bulk Queue with Multiple Vacations Delayed Service and Setup Times
In this paper a M /G(a,b)/|1 queuing system with multiple vacations, delayed service and setup time is considered. If the queue size is < ‘a’ after a service completion or after a vacation termination, the server goes for multiple vacation. Also after serving M batches continuously even if sufficient number of customers are there in the queue, the server goes for a vacation with probability α j...
متن کاملSteady-State Queue Length Analysis of a Batch Arrival Queue under N-Policy with Single Vacation and Setup Times
This paper investigates the steady state property of queue length for a batch arrival queue under N-policy with single vacation and setup times. When the system becomes empty, the server is turned off at once and takes a single vacation of random length V . When he returns, if the queue length reaches or exceeds threshold ( 1) N N , the server is immediately turned on but is temporarily unava...
متن کاملSojourn times in a processor sharing queue with multiple vacations
We study an M/G/1 processor sharing queue with multiple vacations. The server only takes a vacation when the system has become empty. If he finds the system still empty upon return, he takes another vacation, and so on. Successive vacations are identically distributed, with a general distribution. When the service requirements are exponentially distributed we determine the sojourn time distribu...
متن کاملRandom N-Policy Geo/G/1 Queue with Startup and Closedown Times
This study investigates a random N-policy Geo/G/1 queue with startup and closedown times. N is newly determined every time a new cycle begins. When random N customers are accumulated, the server is immediately turned on but is temporarily unavailable to the waiting customers. It needs a startup time before starting providing service. After all customers in the system are served exhaustively, th...
متن کاملAnalysis of a Geo/G/1 Queueing System with a Generalized N-Policy and Setup-Closedown Times
Abstract: We analyze a discrete-time single-server queueing system whose arrival stream is a Bernoulli process and service times are generally distributed. An extension of the N -policy is considered: the server remains idle till the queue length becomes 1 i ≥ with probability i θ . After the idle (vacation) period, the server needs a random amount of startup time before serving. Moreover, afte...
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 Mathematical Modelling
سال: 2005
ISSN: 0307-904X
DOI: 10.1016/j.apm.2005.02.013