Queuing theory is used for
The cost of providing service in a queuing system increases with
Queuing theory is associated with
ln a queuing problem, if the arrivals are completely random, then the probability distribution, of number of arrivals in a given time follows:
Number of arrival in queuing problem follow poisson distribution.
Length of the System (Ls) in queuing is equal to
Queue Length (Lq) in queuing is equal to
In a M/M/1 queue, the service rate is
Correct Answer :- a
Explanation : Arrivals occur at rate λ according to a Poisson process and move the process from state i to i + 1. Service times have an exponential distribution with rate parameter μ in the M/M/1 queue, where 1/μ is the mean service time.
Patients arrive at a doctor’s clinic according to the Poisson distribution. Check up time by the doctor follows an exponential distribution. If on an average, 9 patients/hr. arrive at the clinic and the doctor takes on an average 5 minutes to check a patient, the number of patients in the queue will be
Consider a single server queuing model with Poisson arrivals (λ = 4/hour) and exponential service (μ = 4/hour). The number in the system is restricted to a maximum of 10. The probability that a person who comes in leaves without joining the queue is
Probability that a person who comes in leaves without joining the queue i.e.
The number of customers arriving at a railway reservation counter is Poisson distributed with an arrival rate of eight customers per hour. The reservation clerk at this counter at this counter takes six minutes per customer on an average with an exponentially distributed service time. The average number of the customers in the queue will be