Optimal Control Policy for State Dependent Queueing Model with Service Interruption, Setup and Vacations
نویسندگان
چکیده
Present investigation deals with optimal management policy for Markovian queue with server breakdowns, vacations and setup. The customers arrive in Poisson fashion to get the service. The server may breakdown during the service and goes for repair immediately. By applying probability generating function technique queue length distribution is obtain for different states of the server. Further we determine the probability of empty system, expected number of units in the system, total expected cost function etc. Cost analysis has also been done. To validate analytic results, numerical experiment has been performed.
منابع مشابه
Discrete Time Analysis of Multi-Server Queueing System with Multiple Working Vacations and Reneging of Customers
This paper analyzes a discrete-time $Geo/Geo/c$ queueing system with multiple working vacations and reneging in which customers arrive according to a geometric process. As soon as the system gets empty, the servers go to a working vacations all together. The service times during regular busy period, working vacation period and vacation times are assumed to be geometrically distributed. Customer...
متن کاملBat Algorithm for Optimal Service Parameters in an Impatient Customer N-Policy Vacation Queue
In this paper, a meta-heuristic method, the Bat Algorithm, based on the echolocation behavior of bats is used to determine the optimum service rate of a queue problem. A finite buffer M/M/1 queue with N policy, multiple working vacations and Bernoulli schedule vacation interruption is considered. Under the two customers' impatient situations, balking and reneging, the...
متن کاملON (A,C,B) POLICY QUEUE WITH CHANGE OVER TIMES UNDER BERNOULLI SCHEDULE VACATION INTERRUPTION
This paper analyzes a renewal input working vacations queue with change over times and Bernoulli schedulevacation interruption under (a,c,b) policy.The service and vacation times are exponentially distributed.The server begins service if there are at least c units in the queue and the service takes place in batches with a minimum of size a and a maximum of size b (a
متن کاملBulk Arrival Queueing Model Delayed Service With Restricted Vacation, Variant Arrival Rate And Setup Times
In this paper, a bulk arrival general bulk service queueing model delayed service with restricted vacation policy, variant arrival rate and setup time is considered. The server starts the service only if at least ‘a’ customers are waiting in the queue, and renders the service according to the general bulk service rule with minimum of ‘a’ customers and maximum of ‘b’ customers, then the server w...
متن کاملAnalysis of M/G/ 1 queueing model with state dependent arrival and vacation
This investigation deals with single server queueing system wherein the arrival of the units follow Poisson process with varying arrival rates in different states and the service time of the units is arbitrary (general) distributed. The server may take a vacation of a fixed duration or may continue to be available in the system for next service. Using the probability argument, we construct the ...
متن کامل