The ZU cafeteria serves on average 2000 customers a day during the lunch break (12:00-2:00 pm). It takes about 10 seconds to process a customer at the cashier. How many students on average wait in the queue (work in process)?
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The ZU cafeteria serves on average 2000 customers a day during the lunch break (12:00-2:00 pm). It takes about 10 seconds to process a customer at the cashier. How many students on average wait in the queue (work in process)?
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- Students arrive at the administrative services office at an average of one every 15 minute, and their request take on average 10 minutes to be processed. The service counter is staffed by only one clerk, Judy who works eight hours per day. Assume poisson arrivals and exponential service times a) how much time, on average, does a student spend waiting in line?A small popular restaurant at an interstate truck stop provides priority service to truckers. The restaurant has ten tables where customers may be seated. The service time averages 40 minutes once a party is seated. The customer arrival rate is 12 parties per hour, with the parties being equally divided between truckers and non-truckers. What is the approximate average time in minutes that truckers wait to be seated?Students arrive at the Administrative Services Office at an average of one every 20 minutes, and their requests take, on average, 12 minutes to be processed. The service counter is staffed by only one clerk, Judy Gumshoes, who works eight hours per day. Assume Poisson arrivals and exponential service times. What percentage of time is Judy idle? Note: Round your answer to 1 decimal place. How much time, on average, does a student spend waiting in line? Note: Do not round intermediate calculations. Round your answer to 1 decimal place. How long is the (waiting) line on average? Note: Round your answer to 2 decimal places. What is the probability that an arriving student (just before entering the Administrative Services Office) will find at least one other student waiting in line? Note: Do not round intermediate calculations. Round your answer to 2 decimal places.
- Students arrive at the Administrative Services Office at an average of one every 15 minutes, and their requests take, on average, 10 minutes to be processed. The service counter is staffed by only one clerk, Judy Gumshoes, who works eight hours per day. Assume Poisson arrivals and exponential service times. What percentage of time is Judy idle? Note: Round your answer to 1 decimal place. How much time, on average, does a student spend waiting in line? Note: Do not round intermediate calculations. Round your answer to the nearest whole number. How long is the (waiting) line on average? Note: Round your answer to 2 decimal places. What is the probability that an arriving student (just before entering the Administrative Services Office) will find at least one other student waiting in line? Note: Do not round the intermediate calculations. Round your answer to 2 decimal places.A supermarket manager notices that there are 20 customers at the checkouts andalso knows that arrivals to the checkout at that time of day are at a rate of abouttwo per minute. About how long are customers spending in the checkout process(queueing and being served) on average?Students arrive at the administrative services office at an average of one every 15 minute, and their request take on average 10 minutes to be processed. The service counter is staffed by only one clerk, Judy who works eight hours per day. Assume poisson arrivals and exponential service times a) how long is the (waiting) line on average?
- For Billys bank situation in problems 12.4 and 12.5, the salary and benefits for the teller would be 12 dollars per hour. The bank is open 8 hours each day. It has been estimated that the wait time cost is 25$ per hour in line. How many Customers would enter the bank on a typical day? How much total time would the customers spend waiting in line during the entire day if two tellers were used? What is the total Daily waiting cost? How much total time would customers spend waiting in line during the entire day if two tellers were used? What is the total daily waiting cost? If billy wishes to minimize the total waiting time and personal cost how many tellers should be used?Students arrive at the administrative services office at an average of one every 15 minute, and their request take on average 10 minutes to be processed. The service counter is staffed by only one clerk, Judy who works eight hours per day. Assume poisson arrivals and exponential service times a) what is the probability that am arriving student will find at least one other student waiting in line?Harris Teeter is a small local grocery store with one checkout counter. Shoppers arrive at the checkout lane at an average rate of 18 customers per hour, and the average order takes two minutes to ring up and bag. If the manager does not want the average time waiting for service to exceed five minutes, what would you tell them about the current system? Use the Single Server Queue Excel template to answer this question.
- A request for assistance at the reference desk at a library is submittedat an average rate of 9 per hour (Poisson distribution). At the reference desk, there is only one librarianand he can serve customers in 6 minutes on average (exponential distribution). Calculate according tothe queuing model M/M/1:1. Server utilization2. Expected number of customers in queue3. Expected waiting time of customer in queueThe Bijou Theater shows vintage movies. Customers arrive at the theater line at the rate of 100 per hour. The ticket seller averages 30 seconds per customer, which includes placing validation stamps on customers’ parking lot receipts and punching their frequent watcher cards. (Because of these added services, many customers don’t get in until after the feature has started.) (Use the Excel spreadsheet Queue Models.) What is the average customer time in the system? What would be the effect on customer time in the system of having a second ticket taker doing nothing but validations and card punching, thereby cutting the average service time to 20 seconds? Note: Round your answer to 3 decimal places. What would be the customer time in the system if instead of the change in part (b), a second window was opened with each server doing all three tasks? Note: Do not round intermediate calculations. Round your answer to 3 decimal places. Would system waiting time which is obtained…A single server queuing system with a Poisson arrival rate and exponential service time has an average arrival rate of 6 customers per hour and an average service rate of 15 customers per hour. The average length of time customers will spend in the system is: O a. 2.667 minutes O b. 0.1111 minutes O c. 6.667 minutes O d. 0.04444 minutes