Emergency medical personnel are standing outside the HyVee grocery store and taking the temperature of everyone as they enter the store. The time to take the temperature is constant at 4 seconds. Customers arrive one every 20 seconds, on average. (Assume just one person taking the temperature of entering customers.) a. What model best matches this situation? Model used: (time units) population: time units) arrival rate: per ("infinite" or a number) service rate: per servers: b. On average, how many customers would be waiting to get Je person checking temperature. c. What is the average time spent by a customer to get into the store, in seconds? (time units) d. What percentage th is temperature taker idle?
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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?
- Customers arrive to a local bakery with an average time between arrivals of5 minutes. However, there is quite a lot of variability in the customers’ arrivals, asone would expect in an unscheduled system. The single bakery server requires anamount of time having the exponential distribution with mean 4.5 minutes to servecustomers (in the order in which they arrive). No customers leave without service.d. Calculate the probability a customer will spend more than an hour at the bakery(time in queue plus service time).Please 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?(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 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)? minutesRepair calls are handled by one repairman at a photocopy shop. Repair time, including traveltime, is exponentially distributed, with a mean of two hours per call. Requests for copierrepairs come in at a mean rate of three per eight-hour day (assume Poisson).A) Identify the Queuing Model and sketch the system.B) What is the arrival rate?C) What is the service rate?D) What is the average number of customers awaiting repairs?In waiting line management, system performance measures include which of the following: I. an arriving customer will have to wait. II. The average number of customers waiting. III. The average time customers spend in the system. IV The probability that the server is busy. Select one: a. II, III & IV b. I, II & III c. I, II & IV d. I, III & IV convert inputs into outputs; they are at the core of operations management. Select one: a. processes b. decisions C. resources d. products оооо
- A self-service store employs one cashier at its counter. Nine customers 'arrive on an average every 5 minutes while the cashier can serve 10 customers in 5 minutes. Assuming Poisson distribution for arrival rate and exponential distribution for service time, find 1. Average number of customers in the system. 2. Average number of customers in the queue or average queue length. 3. Average time a customer spends in the system. 4. Average time a customer waits before being served. A.1Please do not give solution in image format thanku A takeaway café has an average rate of customer arrival of 6 per hour. The café uses two service counters and both counters take 6 minutes to serve each customer. Assuming Poisson arrivals and exponential service, what is the average number of customers waiting in a queue? a. 1.000 b. 0.059 c. 0.600 d. 0.333 e. None of the other answers is correct FeedbackA 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.