Question: Consider a two-server waiting line with a mean arrival rate of 40 per hour and a mean service rate of 60 per hour for each

Consider a two-server waiting line with a mean arrival rate of 40 per hour and a mean service rate of 60 per hour for each server.
a. What is the probability that both servers are idle?
b. What is the average number of cars waiting for service?
c. What is the average time waiting for service?
d. What is the average time in the system?
e. What is the probability of having to wait for service?

Multiple Server Queueing Model Lambda Mu Number of scrvers 40.000 60.000 2 Probability system is empty Average number in queue Average number in system Average time in queue Average time in system Probability arrival must wait 0.500 0.083 0.750 0.002 0.019 0.167

Step by Step Solution

★★★★★

3.47 Rating (170 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a 05 b 008... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

1086-B-M-L-O-M(6009).docx

120 KBs Word File

Students Have Also Explored These Related Management Leadership Questions!

Trucks using a single-server loading dock have a mean arrival rate of 14 per day. The loading/unloading rate is 19 per day. a. What is the probability that the truck dock will be idle? b. What is the...

Two area hospitals have jointly initiated several planning projects to determine how effectively their emergency facilities can handle disaster-related situations at nearby Tech University. These...

1. Assume that Pacific National Bank remains with human tellers only. a. For each time period in Table 13.4, deter-mine the minimum number of tellers needed on station to service the customer stream....

In the M/M/1 waiting line model with an arrival rate of 3 per hour and a service rate of 6 per hour, the utilization factor for the system is approximately 0.50. Group of answer choices True or False

In the M / M / 1 waiting line model with an arrival rate of 2 per hour and a service rate of 6 per hour, the utilization factor for the system is approximately 0 . 3 3 3 . True False

thanks in advance The Riverton Post Office has four stations for service. Customers line up in single file for service on a FIFO basis. The mean arrival rate is 40 per hour, Poisson distributed, and...

The Riverton Post Office has four stations for service. Customers line up in single file for service on a FIFO basis. The mean arrival rate is 40 per hour, Poisson distributed, and the mean service...

pleass answer if you sure other wise skip it The Riverton Post Office has four stations for service. Customers line up in single file for service on a FIFO basis. The mean arrival rate is 40 per...

a. Describe the basic features of current assumption whole life insurance. b. What is a preferred risk policy?

Find the slope of the curve at x = = 9. y = 3x + 4x 7x +9 -

In conventional ( as opposed to fair value ) accounting, which of the following best describes how fixed assets are recorded? a . At original cost b . At current market value c . At original cost,...

What does an environmental impact statement contain, and who must file one?

The Wilcox Student Health Center has just implemented a new computer system and service process to improve efficiency. The process flowchart and analysis framework is also provided. As pharmacy...

A manufacturer of air conditioner compressors is concerned that too much money is tied up in its value chain. Average raw material inventory is $50 million and work-in-process (WIP) production...

Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA = 2.8% + 1.00RM + eA RB = 1.0% + 1.30RM + eB M = 18%; R-squareA = 0.27; R-squareB =...

For each of the following annuities, calculate the annual cash flow. (Enter rounded answers as directed, but do not use rounded numbers in intermediate calculations. Round your answers to 2 decimal...

Describe the capital budgeting steps that would be necessary to determine whether a proposed project is feasible as related to some specific situation.