In an M/M/1 queueing system, the arrival rate is 5 customers per hour and the service...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
In an M/M/1 queueing system, the arrival rate is 5 customers per hour and the service rate is 7 customers per hour. a. What is the utilization? Note: Round your answer to 3 decimal places. Utilization b. What is the expected number of customers in the system (L)? Note: Round your answer to 3 decimal places. Expected number of customers c. What is the expected waiting time in the system (W)? Note: Express the waiting time in hours, round your answer to 3 decimal places. Expected waiting time d. What is the expected number of customers in the queue (Lq)? Note: Round your answer to 3 decimal places. Expected number of customers On a toll road, there are 7 lanes for drivers to pay their toll. Customer interarrival times are random, with an exponential distribution. Service times are random, with an exponential distribution. What is the proper description for this queueing system. Proper description In an M/M/ queueing system, the arrival rate is 5 customers per hour and the service rate is 7 customers per hour. Note: Round your answers to 3 decimal places. a. What is the probability that the server will be idle? Probability b. What is the probability of having exactly 3 customers in the system? Probability c. What is the probability of having 2 or fewer customers in the system? Probability In an M/M/1 queueing system, the arrival rate is 5 customers per hour and the service rate is 7 customers per hour. a. What is the utilization? Note: Round your answer to 3 decimal places. Utilization b. What is the expected number of customers in the system (L)? Note: Round your answer to 3 decimal places. Expected number of customers c. What is the expected waiting time in the system (W)? Note: Express the waiting time in hours, round your answer to 3 decimal places. Expected waiting time d. What is the expected number of customers in the queue (Lq)? Note: Round your answer to 3 decimal places. Expected number of customers On a toll road, there are 7 lanes for drivers to pay their toll. Customer interarrival times are random, with an exponential distribution. Service times are random, with an exponential distribution. What is the proper description for this queueing system. Proper description In an M/M/ queueing system, the arrival rate is 5 customers per hour and the service rate is 7 customers per hour. Note: Round your answers to 3 decimal places. a. What is the probability that the server will be idle? Probability b. What is the probability of having exactly 3 customers in the system? Probability c. What is the probability of having 2 or fewer customers in the system? Probability
Expert Answer:
Answer rating: 100% (QA)
Sure Id be happy to help you with these queueing system calculations a Utilization ho ho lambdamu Wh... View the full answer
Related Book For
Practical Management Science
ISBN: 978-1305250901
5th edition
Authors: Wayne L. Winston, Christian Albright
Posted Date:
Students also viewed these general management questions
-
[CLO3] Let f(x)=In(x) . Use Forward-Difference formula for f "(x) with step size = 0.1 to approximate f "(2.5).
-
Consider the M/M/s model with a mean arrival rate of 10 customers per hour and an expected service time of 5 minutes. Use the Excel template for this model to obtain and print out the various...
-
The Cleveland Foodbank is a nonprofit organization that receives donations of food and distributes this food to appropriate charitable organizations. Many times, large quantities of food need to be...
-
Which of the following exceptions do not need to be handled or declared by the method in which they are thrown? (Choose three.) A. FileNotFoundException B. ArithmeticException C. IOException D....
-
An unfavorable flexible budget variance for variable costs may be the result of A) Increase in price. B) Decrease in volume. C) Increase in variable expenses per unit D) Decrease in fixed costs.
-
Carolyn is senior vice president of finance and chief actuary for Rock Solid Insurance Company (RSIC). Lonnie is double-majoring in finance and mathematics at State University. Lonnie applied for an...
-
(Mortgage, finding PV) Jane would like to purchase a new car. She has $5,000 in cash. She is also willing to take a car loan and pay a monthly amount of $200 for the next 5 years. Assuming that Jane...
-
Howie Long has just learned he has won a $500,000 prize in the lottery. The lottery has given him two options for receiving the payments: (1) If Howie takes all the money today, the state and federal...
-
Walker Clothing Store had a balance in the Accounts Receivable account of $ 7 8 0 , 0 0 0 at the beginning of the year and a balance of $ 8 2 0 , 0 0 0 at the end of the year. Net credit sales during...
-
A laser pointer is kept at a constant and fixed height above the floor, but it can move horizontally back and forth in a straight line. A mirror is placed on a platform at a fixed distance from a...
-
75 4 3i 75 4 3i Simplify your answer Type your answer in the form
-
1. Describe how legal principles can conflict with religious beliefs in the hospital setting. 2. Describe the role of a Healthcare Ethics Committee, and give an example of a case they may be involved...
-
4. Write a C program to reverse the number as below: Input: Enter any number: 12345 Output: The reverse number is: 54321 5. Write a C program coding for Array reverse order as below: Input: Enter the...
-
Delta Air Lines, Inc. (DAL) is considering offering commerdal travel to space within the next ten years. Use the following estimates to answer the questions below and help Delta determine whether...
-
A tow rope is used to pull skiers with constant speed up a snowy hill. The rope is parallel to the hill, and the hill makes an angle of = 24 with the horizontal. The coeffi- cient of friction between...
-
There are many co-cultures in the U.S. What are some of the primary ones? What sets them apart as co-cultures? Values? Beliefs? Behaviors? Think of a prominent member of a co-culture in the United...
-
Quebecor Inc. is a major provider of cable services and also the owner of many newspapers. The company reported the following items in its 20X11 consolidated financial statements (in millions of...
-
The overall reaction and equilibrium constant value for a hydrogenoxygen fuel cell at 298 K is 2H 2 (g) + O 2 (g) 2H 2 O(l) K = 1.28 10 83 a. Calculate E cell and G 8 at 298 K for the fuel cell...
-
Simulation can be used to illustrate a number of results from statistics that are difficult to understand with non-simulation arguments. One is the famous central limit theorem, which says that if...
-
Consider the Pigskin example (Example 3.3) from Chapter 3. Find Pigskins optimal production policy if, in addition to the given production and holding costs, there is a fixed cost of $50,000 during...
-
Consider a project with the following cash flows: year 1, $400; year 2, $200; year 3, $600; year 4, $900; year 5, $1000; year 6, $250; year 7, $230. Assume a discount rate of 15% per year. a. Find...
-
Zeigler Company began operations in 20xx. At the beginning of the year, the company purchased plant assets of $900,000, with an estimated useful life of ten years and no residual value. During the...
-
Income statement information for Sim Corporation in 20x6 is as follows: a. Administrative expenses, $220,000 b. Cost of goods sold, $880,000 c. Extraordinary loss from a storm (net of taxes,...
-
Effects of Inventory Costing Methods} Refer to your answers for Filimonov Inc. in Cornerstone Exercises 6-20 and 6-21 above. \section*{Required:} 1. In a period of rising prices, which inventory...
Study smarter with the SolutionInn App