Snappy Lube is a quick-change oil center with a single service bay. On average, Snappy Lube can change a car's oil in 10 minut times. The average number of cars waiting is cars.
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- 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 ?Please answer the attached Queuing Model problem solving. ThanksRepair 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?
- Please do not give solution in image format thanku Average Arrival Rate (Ri) 20 Customers/Hr Arrival Standard Deviation is 2 customers/hr Average Processing Time 12 minutes Process Time Standard Deviation 3 minutes 5 Servers 1) What is Server Utilization? 2) Average Queue Length?What is an example of a elementary queuing process?Many of a bank’s customers use its automatic teller machine to transact business after normal banking hours. During the early evening hours in the summer months, customers arrive at a certain location at the rate of one every other minute. This can be modeled using a Poisson distribution. Each customer spends an average of 94 seconds completing his or her transactions. Transaction time is exponentially distributed. a. Determine the average time customers spend at the machine, including waiting in line and completing transactions. (Do not round intermediate calculations. Round your answer to the nearest whole number.) Average time minutes b. Determine the probability that a customer will not have to wait upon arriving at the automatic teller machine. (Round your answer to 2 decimal places.) Probability c. Determine the average number of customers waiting to use the machine. (Round your answer to 2 decimal places.) Average number customers
- Many of a bank’s customers use its automatic teller machine to transact business after normal banking hours. During the early evening hours in the summer months, customers arrive at a certain location at the rate of one every other minute. This can be modeled using a Poisson distribution. Each customer spends an average of 98 seconds completing his or her transactions. Transaction time is exponentially distributed. a. Determine the average time customers spend at the machine, including waiting in line and completing transactions. (Do not round intermediate calculations. Round your answer to the nearest whole number.) b. Determine the probability that a customer will not have to wait upon arriving at the automatic teller machine. (Round your answer to 2 decimal places.) c. Determine the average number of customers waiting to use the machine. (Round your answer to 2 decimal places.)[Queuing Theory - Operations Research] Customers arrive according to the Poisson distribution with mean 20 per hour. Service time is exponential with mean 30 minutes. (a) Determine the minimum number of servers the Salon should have to achieve a steady-state. Explain why. (b) Because of a significant number of customers who balked, the owner wants to determine the number of servers so that the average waiting time before having the service is not more 10 minutes. How many servers should the salon have?Auto vehicles arrive at a petrol pump, having one petrol unit, in Poisson fashion with anaverage of 10 units per hour. The service time is distributed exponentially with a mean of3 minutes. Find the following:i. Average number of units in the systemii. Average waiting timeiii. Average length of queueiv. Probability that a customer arriving at the pump will have to waitv. The utilization factor for the pump unitvi. Probability that the number of customers in the system is 2.
- 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?In short, define three cases in which the first-in, first-out (FIFO) concept in queuing analytics is not valid.Explain how waiting lines can develop even when the service time is a constant.