Calculate the average queue length of the system, if the average customer arrival rate is 5 customers/second and the average system time is 20 seconds a. 50 b. 100 c. 200 d. None of the above

Average customer arrival rate or average number of arrivals per unit of time in the queuing system is given by the symbol____:a.ρb.P0c.µd.λ

A café shop has a queue length, on average, of 10 customers and each customer has to wait 5 minutes to get their drinks from the time they enter the shop. How many customers are being served every hour?Group of answer choices120308040

Average waiting time for a customer in the queue (line) is given by the symbol:a.Wqb.Wsc.Lqd.Ls

For a small batch computing system the processing time per job is exponentiallydistributed with an average time of 3 minutes. Jobs arrive randomly at an average rateof one job every 4 minutes and are processed on a first-come-first-served basis. Themanager of the installation has the following concerns.(a) What is the probability that an arriving job will require more than 20 minutes to beprocessed (the job turn-around time exceeds 20 minutes)?(b) A queue of jobs waiting to be processed will form, occasionally. What is the averagenumber of jobs waiting in this queue?

Consider a single server queuing system. The system starts at time t=0. The arrival time ofcustomers is: 0.8, 1.4, 2.7, 3.2, 3.8, 8.0, 8.6, 9.0, 9.2, and 9.8. The departure times are: 2.2,4.0, 5.0, 6.2, and 10.0. Time is in minutes. The first in first out queuing discipline isfollowed. Simulate this system for six clients and estimate:i) The average delay in the waiting line (3 Marks)ii) The average number of clients in the waiting line at any time t (5 Marks)iii) The expected utilization of server. (2 Marks)