10. A campus deli serves 300 customers over its busy lunch period from 11:30 a.m. to 1:30 p.m. A quick count of the number of customers waiting in line and being served by the sandwich makers shows that an average of 10 customers are in process at any point in time. What is the average amount of time that a customer spends in process?
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- Please do not give solution in image format thanku 1. In a queueing system, customers arrive once every 4 seconds (standard deviation = 4) and services take 3 seconds (standard deviation = 5.1). What is the average time a customer wiill spend in the system (in seconds)?Please do not give solution in image format thanku Customers checking out at Food Mart arrive in a single-line queue served by two cashiers at a rate ofeight per hour according to a Poisson distribution. Each cashier processes customers at a rate of eightper hour according to an exponential distribution.1. If, on average, customers spend 30 minutes shopping before getting in the checkout line, what isthe average time a customer spends in the store?2. What is the average number of customers waiting for service in the checkout line?3. What is the probability that a customer must wait?4. What assumption did you make to answer this question? I need this in Excel format please. Can you also include a small interpretation with the answers ?Patients arrive at your emergency room at a rate of 2 per hour. The average service time per patient is 20 minutes. In other words, you treat an average of 3 patients per hour if patients come in that fast. 1. To proceed with your analysis, what do you assume about the distributions of arrivals and service times? 2. What is the average number of patients in the ER (waiting or being served?) (Use formulae on p.21-22) 3. What is the average length of time that patients spend from the time they enter the ER to the time they leave?
- In a queueing system, customers arrive once every 5 minutes (standard deviation = 7) and services take 3 minutes (standard deviation = 6.8). (Do not round intermediate calculations. Round your answer to three decimal places.) What is the average time a customer will spend in the system (in minutes)? minutesPlease do not give solution in image format thanku A bank has an average of 10 customers per hour arriving into the system, and it takes an average of 30 minutes for the clerk to complete a transaction with a customer. What is the average length of the queue in the bank? And A store open 24 hours per day is interested in determining store traffic. It found that customers arrive uniformly at the rate of 10 customers per hour. The store has a single worker to process customers. The worker takes an average of 5 minutes to process a customer. If we assume that every customer must be processed, what is the average number of customers in the store?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 expected number of customers in the system (L)? (Round your answer to 3 decimal places.) What is the expected waiting time in the system (W)? (Express the waiting time in hours, round your answer to 3 decimal places.) What is the expected number of customers in the queue(Lq)? (Round your answer to 3 decimal places.) What is the expected waiting time in the queue(Wq)? (Express the waiting time in hours, round your answer to 3 decimal places.)
- (Please do not give solution in image format thanku) A single Automated Teller Machine (ATM) is located on the ground floor of a popular shopping mall. Service time at this machine is exponentially distributed. On average, the ATM machine can serve a customer in 3 minutes. Customer arrivals at the machine are Poisson distributed, with an average of 15 customers an hour. Relevant formulas to analyze this M/M/1 model are available in your textbook. What percent of the time is this machine idle? 25% 0% 75% 50% 100%In a queueing system, customers arrive once every 4 minutes (standard deviation = 7) and services take 3 minutes (standard deviation = 5.5). (Do not round intermediate calculations. Round your answer to three decimal places.) What is the average time a customer will spend in the queue (in minutes)? minutesGranos, Inc. purchased new automated coffee vending machines, the Preso 2000. This Preso 2000 requires a constant 45 seconds to produce a coffee. It has been estimated that customers will arrive at the vending machine according to a Poisson distribution at an average of one every 50 seconds. To help determine the amount of space needed for the line in front of the vending machine, Granos, Inc. would like to know the expected average time in the system, the average line length (in costumers), and the average number of costumers in the system (both in line and at the vending machine).
- 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 is the arrival rate (λ) and the service rate (μ)? Group of answer choices Arrival rate = 4.25 customers/min. Service rate = 3.4 customers/min. Arrival rate = .29 customers/min. Service rate = .24 customers/min. Arrival rate = 3.4 customers/min. Service rate = 4.25 customers/min. Arrival rate = .24 customers/min. Service rate = .29 customers/min. None of the above answers are correctIn 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 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)?14. A small town's hospital wanted to an analysis about the ambulance number that they own/need to own. Requests for ambulance is 0,45 per hour and tend to follow Poisson-distribution. Travel and assistance time averages two hours per call. There is no assumption regarding the distribution of service time. a. What are the arrival and service rates b. Compute the average number of customers being served at any time c. Calculate the system utilization for total number of server values of M=1,2 and 3 d. Suppose someone made a day long observation and concluded that the average queue length is 1,7 requests. Then please calculate the average number of people in the system.