On average, how much time would a server need to spend on a customer to achieve a service rate μ, with 30 customers per hour?
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Q: What is the number of customers waiting in the queue on average?
A: Arrival Rate (Lambda) = 12 per hour Average Service Rate (Mu) = 60/4 = 15 per hour
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A: THE ANSWER IS AS BELOW:
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A: λ=604.5=13.33 customers per hourμ=602.8=21.43 customers per hour
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A: Arrival Rate (λ) = 20/hour Service rate (μ)= 1 per 2 min = 12×60 =30/hour
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On average, how much time would a server need to spend on a customer to achieve a service rate μ, with 30 customers per hour?
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- How much time, on average, would a server need to spend on a customer to achieve a service rate of 20 customers per hour?If the restaurant runs a sale and the customer arrival rate increases by 20 percent how would this change the total time expected to serve a customer? How would this change the average number of cars in the drive-thru line?A single server queuing system with a Poisson arrival rate and exponential service time has an average arrival rate of 11 customers per hour and an average service rate of 14 customers per hour. The average length of time customers will spend in the system is: a. 15.71 minutes b. 20 minutes c. 0.2619 minutes d. 0.3333 minutes
- The prudential bank manager wants to improve its quality of service by reducing customer waiting times. To that end, a team of experts is needed to design what could be the best queuing strategy in order to have the minimum waiting time. Assuming your part of the team, what's the best queuing strategy to reduce the client's waiting time?In an M/M/1 queueing system, the arrival rate is 5 customers per hour and the service rate is 7 customers per hour. If the service process is automated (resulting in no variation in service times but the same service rate), what will be the resulting performance measurements? (Round all answers to three decimals.) What is the utilization? What is the expected number of customers in the system (L)? What is the expected waiting time (in hours) for the system (W)? What is the expected number of customers in the queue (Lq)? What is the expected waiting time (in hours) in the queue (Wq)?In an M/M/1 queueing system, the arrival rate is 5 customers per hour and the service rate is 7 customers per hour. If the service process is automated (resulting in no variation in service times but the same service rate), what will be the resulting performance measurements? (Round all answers to three decimals.) What is the utilization? What is the expected number of customers in the system (L)? What is the expected waiting time (in hours) for the system (W)? What is the expected number of customers in the queue (Lq)?
- In an M/M/1 queueing system, the arrival rate is 5 customers per hour and the service rate is 7 customers per hour. What is the utilization? Note: Round your answer to 3 decimal places. What is the expected number of customers in the system (L)? Note: Round your answer to 3 decimal places. What is the expected waiting time in the system (W)? Note: Express the waiting time in hours, round your answer to 3 decimal places. What is the expected number of customers in the queue(Lq)? Note: Round your answer to 3 decimal places. What is the expected waiting time in the queue(Wq)?In an M/M/1 queueing system, the arrival rate is 5 customers per hour and the service rate is 7 customers per hour. If the service process is automated (resulting in no variation in service times but the same service rate), what will be the resulting performance measurements? What is the utilization? What is the expected number of customers in the system (L)? What is the expected waiting time (in hours) for the system (W)? What is the expected number of customers in the queue (Lq)? What is the expected waiting time (in hours) in the queue (Wq)?A local fast-food restaurant wants to analyze its drive-thru window. At this time, the only information known is the average number of customers in the system (4.00) and the average time a customer spends at the restaurant (1.176 minutes). What are the arrival rate and the service rate?
- The check-out area of a grocery store has the average customer interarrival time = 2 minutes, the average processing time of each cashier = 6 minutes, and in total 4 cashiers. The average waiting time for each customer is 8 minutes. What is the average number of customers in the system (including waiting and using the service)? a 3 b 7 c 6 d 4Consider a bank branch that has three distinct customer arrival patterns throughout the day, as measured by average arrival rates (below). Morning (8:30 - 11:30): arrival 1 = 47 per hour. %3D Lunch (11:30 - 1:30): arrival 2 = 70 per hour. Afternoon (1:30 - 4:00): arrival 3 = 30 per hour. Regardless of the time of day, the average time it takes for a teller to serve customers is 3.17 minutes. Because of competition with other banks in the area, management has developed an internal goal to keep the average customer wait before service to be less than 4 minutes. With that in mind, answer the following: a. During the morning period, what is the minimum number of tellers that the bank needs to hire to achieve the 4-minute service goal mentioned above? [ Select] b. During lunch, what is the minimum number of tellers that the bank needs to hire to achieve the 4 minute service goal mentioned above? [ Select ] c. In the afternoon, what is the minimum number of tellers that the bankA remote bank with one teller on average has a customer arrive every 10 minutes, and on average serves 10 customers per hour. What is the average length of the line customers in the whole system? (round your answer to one decimal point)