You have determined that waiting times at a toll booth are uniformly distributed over the interval 30 to 80 seconds. Your simulationgenerates the following random numbers. Complete the table with the waiting time associated with each random number. (Round youranswers to the nearest whole number.)Random NumberWaiting Time0.490.230.743.

ANSWER : Given intervals 30 to 80 seconds Range Value = 80 - 30 = 50 Waiting time = Lower range…

Answered: You have determined that waiting times…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Town Taxi uses three dispatchers to handle requests for service and to dispatch the cabs. The telephone calls that are made to Town Taxi use a common number. When all dispatchers are busy, the caller hears a waiting song until the first dispatchers becomes available. The telephone system will assign available dispatcher to the waiting callers according to FCFS. Assume that the arrival of calls follows a Poisson distribution, with an average of 35 calls per hour. Also assume that the time that each dispatcher spends with a customer follows Exponential distribution and each dispatcher takes an average of 3 minutes with each caller. 12. What percentage of time only one dispatcher is busy? ° 56.27% 27.27% 45.35% 15.89%
On a toll road, there are 2 lanes for drivers to pay their toll. Customer arrival times are constant, with a degenerate distribution. Service times are random, with an exponential distribution. What is the proper description for this queueing system?
A small bagel stand known as Andres by the Sea offers drive-thru service to customers in Sants Barbra. Andres by the Sea has two customers arrive every hour on average. Suppose that this bagel stand follows an M/M/1 FIFO queuing system with no limits on queue length. They have one employee working at all times that spends 15 minutes per customer. Assume that the employee is paid $10 per hour and a customer’s waiting cost in queue is estimated to be $12 per hour. The average number of customers in the queue (before rounding up), and the total cost per hour are: a. 0.4; $15. b. 0.8; $18. c. 0.6; $21. d. 0.3; $17. e. 0.5; $16.
Consider a system of two infinite queues in series, where each service facility has a server. All service times are independent and have an exponential distribution with a mean of 3 min at facility 1 and 4 min at facility 2. Facility 1 has Poisson inputs with a mean rate of 10 per hour. Find the total expected number of customers in the system and the total expected waiting time (with service) for a customer.
Suppose that 8 customers per hour arrive at a bank during the 11a-1p. "lunch-hour", period. It is observed that there are, on average, 6 customers in the bank during this same "lunch-hour" period. Which of the following statements are true assuming the system is in steady- state during that period? (Hint: What law govern's the behavior of systems in "steady-state"?) The average customer spends 45 minutes in the bank. The bank must have at least 2 bank tellers. There is always a line of customers waiting during the 11a-1p period. The average service time (not including waiting) at the bank is 3/4 of an hour. Exactly two answers are correct. None of the answers are correct.
(Please do not give solution in image format thanku) A mail order firm has one customer service representative. On average, one potential customer call CSD every four minute. The customer service representative requires on average 2 minutes to serve a customer. Both arrival and service time have a coefficient of 1. (a) if the firm has to pay 5 cents for every minute of waiting for each customer, how much money the firm has to spend in a 8 hour period? Asssume customers can always enter the waiting line
8. Jim McDonald, manager of the fast-food hamburger restaurant McBurger, realizes that providing fast service is a key to the success of the restaurant. Customers who have to wait very long are likely to go to one of the other fast-food restaurants in town next time. He estimates that each minute a customer has to wait in line before completing service costs him an average of 30 cents in lost future business. Therefore, he wants to be sure that enough cash registers always are open to keep waiting to a minimum. Each cash register is operated by a part- time employee who obtains the food ordered by each customer and collects the payment. The total cost for each such employee is $9 per hour. During lunch time, customers arrive according to a Poisson process at a mean rate of 66 per hour. The time needed to serve a customer is estimated to have an exponential distribution with a mean of 2 minutes. Determine how many cash registers Jim should have open during lunch time to minimize his…
In an M/MA queueing system, the arrival rate is 9 customers per hour and the service rate is 12 customers per hour. (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 4 customers in the system? Probability c. What is the probability of having 3 or fewer customers in the system? Prubabty d. What is the expected number of customers in the queue(La)? (Round your answer to 3 decimal pleces.) Expected number of customers e. What is the expected waiting time in the queue(Ng)? (Express the waiting time in hours, round your answer to 3 decimal pleces) Expected wasting time
Provide instead: 3 Positive and 3 negative outcomes for forecasting 3 Positive and 3 negative outcomes for queuing model
c1 need urgent in 15 minutes
In queueing theory, λ represents the mean arrival rate; for example, the number of peoplearriving at the service counter per hour. What does 1/λ represent?o Service rateo Interarrival timeo Service time None
8 customers per hour 7. Suppose that the queueing system under consideration fits the M/M/s model with = and μ 10 customers per hour. Use the Excel template to find the optimal number of servers for each of the following cases. (a) Cs = = $100 and Cw = $10. (b) Cs = $100 and Cw = $100. 'W (c) C = $10 and Cw = $100. - For each part, please list the results in a table like below. You just need to submit one Excel file (the one with the optimal number of servers) for each part. E(SC) = Cçs E(WC) = CwL P E(TC)=E(SC) + E (WC) S 1 2 3 4

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You have determined that waiting times at a toll booth are uniformly distributed over the interval 30 to 80 seconds. Your simulation generates the following random numbers. Complete the table with the waiting time associated with each random number. (Round your answers to the nearest whole number.)