Test: Queuing Theory - 2 - Mechanical Engineering MCQ

ln a queuing problem, if the arrivals are completely random, then the probability distribution, of number of arrivals in a given time follows:

Length of the System (L_s) in queuing is equal to

Queue Length (L_q) in queuing is equal to

In a M/M/1 queue, the service rate is

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

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