Average number of customers waiting for service

Reference no: EM1393745

An infinite source queuing system has an arrival rate of 45 customers per hour and an average service time of 2 minutes per customer. The arrival rate can be described as Poisson, and the service time distribution can be described as negative exponential. Suppose it has been determined that the average number of customers waiting for service is 1.929. There are two servers. Determine:

a. The average number of customers being served.

b. The average number of customers in the system.

c. The average time customers wait in line before being served.

d. The average time customers spend in the system.

e. System utilization.

f. What is the probability that there will be less than six customers arriving in three minutes?

g. What is the probability that there will be two or more customers arriving in three minutes?

h. What is the probability of no more than three minutes elapsing between successive arrivals of customers?

i. What is the probability that the service time is less than three minutes?

j. What is the probability that the service time is more than 2.5 minutes?

k. What is the probability that the service time is between 2.5 and 3 minutes?

Reference no: EM1393745

Questions Cloud

Modelling by a poisson distribution : A teller can process an average of 100 customers per hour, which also can be modeled by a Poisson distribution. If there is one teller on duty, determine:

Plot data on us general aviation : Plot the data on U.S. general aviation shipments (b) Describe the patterns and discuss possible causes.(c) Would a fitted trend be helpful? Explain. (d) Make a similar graph for 1992-2003 only.

What happened if a process automation or improvement : For this project classify (in 100 words or more) the different "steps" which should be taken to decide if a process automation or improvement of a human "hands on" process is the proper solution for a BPM project.

Advantage of multicellularity : Which of the following is not an advantage of multicellularity?

Average number of customers waiting for service : Suppose it has been determined that the average number of customers waiting for service is 1.929. There are two servers. Determine:

Explaining issues challenging implementation of program : Determine at least two online sources of information describing major objectives of program and explaining issues challenging the implementation of program.

Identifying transmembrane segments of integral proteins : What technique below is often used to identify transmembrane segments of integral proteins? What kind of enzyme removes a phosphate groups from a substrate for the purpose of activating or deactivating them?

Explain relative value of common sets of evaluation criteria : Define what must be estimated in a performance evaluation. Distinguish the relative value of common sets of evaluation criteria.

Performance of the comapany stock investments : In studying the performance of the comapany's stock investments over the past year, the research manager of a mutual fund company finds that only 43% of the stocks returned more than the rate that had been expected at the beginning of the year.

User Account

All Pages