A small COVID testing location has a single reception desk. The time between two arriving people equals on average 3.5 minutes (Poisson arrival process). Exactly 27 people per hour can be helped at the desk. What is the average number of clients w
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A small COVID testing location has a single reception desk. The time between two arriving people equals on average 3.5 minutes (Poisson arrival process). Exactly 27 people per hour can be helped at the desk. What is the average number of clients waiting for their turn (so excluding clients who are actually being helped)? (Round your answer to two decimals)
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- 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?A new customer walks into SLC Barber Shop every 60 minutes on average, with a standard deviation of the inter arrival times being 60 minutes. At SLC Barber Shop, the average service time is 30 minutes, with astandard deviation of service times being 45 minutes. What is the average amount of time a customer spends in the process (in minutes) including the waiting time and the service time?A new customer walks into SLC Barber Shop every 60 minutes on average, with a standard deviation of the interarrival times being 60 minutes. At SLC Barber Shop, the average service time is 30 minutes, with a standard deviation of service times being 45 minutes. What is the average number of customers in the barber shop including those that are waiting in line and those receiving service? What is the average number of customers in service?
- Consider 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 bankOnly typed answer otherwise leave it Renuka Jain's Car Wash takes a constant time of 4.54.5 minutes in its automated car wash cycle. Autos arrive following a Poisson distribution at the rate of 1212 per hour. Renuka wants to? know: ? a) The average wait time in the line ?= __________(round your response to two decimal? places). ? b) The average number of customers waiting in the line ?= ________ cars ?(round your response to two decimal? places).On average, a patient spends 5 minutes waiting and 15 minutes being treated at PSH Clinic. Given the average number of patients waiting and being treated at the clinic is 50, what is the average number of patients coming through the clinic per minute on a typical day?
- Passengers arrive at the immigration counter at a rate of one every 4 minutes, and processing their documents takes an average of 10 minutes each. There are 6 employees on duty. If a passenger isn't served immediately, how long on average would the passenger have to wait for service? a. 1.429 minutes b. 3.571 minutes c. 2.857 minutes d. 0.5 minutesPlease do not give solution in image formate thanku. λ= 4 customers per hour; μ = 5 customers per hour; M= 1 An average of 20 customers arrive at a service center each hour. There are two servers on duty, and each can process 12 customers per hour. a) What is the system utilization? b) What is the average waiting time for customers who actually have to wait? c) What is the average time customers wait in line for service?A server operates with 90 % utilization. Coefficient of variation of service process is 0.6. Coefficient of variation of arrival process is 0.8. Average processing time is 4 minutes. What is the average time a customer spends in the system using the single server queuing model ? Show all formulas used, calculations and results.
- A 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 are waiting in? (round your answer to a whole number)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)?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 4