A batch arrival retrial queuing system for essential and optional services with server breakdown and Bernoulli vacation
نویسندگان
چکیده
منابع مشابه
A Batch Arrival Retrial Queue with Bernoulli Vacation Policy and Server Breakdown*
This paper examines the operating characteristics of an M/G/1 retrial queueing system under Bernoulli vacation schedule with setup times. The server renders first phase of essential service (FPS) to all the arriving units whereas second phase of multi-optional services (SPS) to only some of them who demand for the same. The server may breakdown according to Poisson process in working state i.e....
متن کاملBatch Arrival M/g/1 Retrial Queueing System with General Retrial Time, Bernoulli Schedule Vacation, Multi Second Optional Heterogeneous Service and Repair Facility
Retrial queueing systems are characterized by the fact that a primary request, finding all servers and waiting positions busy upon arrival, leaves the service area but after some random time, repeats its demand. Between retrials, the customer is said to be in “Orbit”. So the repeated attempts for service from the group of blocked customers are super imposed on the normal stream of arrivals of p...
متن کاملA SINGLE SERVER BERNOULLI VACATION QUEUE WITH TWO TYPE OF SERVICES AND WITH RESTRICTED ADMISSIBILITY
A single server queue with Bernoulli vacation has been considered. In addition the admission to queue is based on a Bernoulli process and the server gives two type of services. For this model the probability generating function for the number of customers in the queue at different server's state are obtained using supplementary variable technique. Some performance measures are calculated. Some ...
متن کاملA Batch Arrival Unreliable Server Bernoulli Vacation Queue with Two Phases of Service and Delayed Repair
This paper deals with batch arrival unreliable queue with two phases of service and vacation under Bernoulli vacation schedule, which consist of a breakdown period and a delay period. For this model, we first derive the joint distribution of state of the server and queue size, which is one of the chief objectives of this paper. Secondly, we derive the pgf of the stationary queue size distribu...
متن کاملRetrial Queueing system with Second Optional Service, Random break down, Set up time and Bernoulli vacation
In this paper, we investigate a single server batch arrival non-Markovian retrial queueing model with random break down and Bernoulli vacation. Customers arrive in batches accordingly Poisson process with arrival rate λ but are served one by one with first come first served basis. All customers demand the first essential service, whereas only some of them demand the second optional service. The...
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ژورنال
عنوان ژورنال: International Journal of Internet and Enterprise Management
سال: 2012
ISSN: 1476-1300,1741-5330
DOI: 10.1504/ijiem.2012.049868