ermediate calculation your ree decimai places.) What is the average number of customers in the queue?
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Q: When designing a waiting line system, what "qualitative" concems need to be considered?
A: waiting line system:
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- When designing a waiting line system, what " qualitative" concerns need to be considered?Currently, Commercial Banks have 1 unit of ATM machines to meet customer needs. It is known that there is an average of 15 customers in the system. Then it is also known that the average time spent by someone in the system is 10 minutes. Assume that the system follows M/M/1. The Commercial Bank operational manager is considering whether it is necessary to add 1 unit of ATM machine. What are your considerations? To strengthen the consideration, compare the queue length, queue length, and utilities before and after adding an ATM machine?The coefficient of variation for inter-arrival times of customers arriving at a sandwich shop is equal to 3. If the standard deviation of the inter-arrival times is 1 minute(s). What is the average inter-arrival time in minutes? Round answer to two decimal places.
- 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)?38) Daisy's Shop Daisy runs a shop where she is able to serve an average of 9 customers per hour. An average of 5 customers per hour arrive at her shop. What is the average number of customers at the shop (either waiting in line or being served)? Group of answer choices a) 1.8 b) 2.67 c) 1.25 d) 0.56 e) 0.69 f) 3.00Ali Baba‘s Car Wash Service Centre is open 6 days a week, but its busiest day isalways on Sunday. From the previous data, Ali Baba estimates that dirty carsarrive at the rate of one every two minutes. One car at a time is cleaned in thisexample of a single-channel waiting line. Assuming Poisson arrivals andexponential service times, find the following: a) Compute the average number of cars in line.
- Customers arrive at a bank counter at an average rate of 3customers per hour.a) Suggest a suitable distribution to model the number ofcustomers arriving at the counter, X, per minute.b) State clearly any assumptions you have made by suggestingthis model.c) Using your model,I. Find the probability that no customer arrive in a givenminute.II. Find the probability that at most 4 customers arrive in agiven minute.III. In any given 4 minutes period, find ? such that?(? > ?) = 0.0487.IV. Check the answer of part I and part ii using RStudio.Explain how the qualitative concerns are to be considered when designing a waiting line systemPlease do not give solution in image format thanku 1. A single server queuing system with a Poisson arrival rate and exponential service time has an average arrival rate of 13 customers per hour and an average service rate of 20 customers per hour. The average length of time customers will spend in the system is: Select one: a. 0.09286 minutes b. 0.1429 minutes c. 8.571 minutes d. 5.571 minutes 2. A single server queuing system with a Poisson arrival rate and exponential service time has an average arrival rate of 10 customers per hour and an average service rate of 13 customers per hour. The probability of 3 customers in the system is : Select one: a.0.895 b.0.5448 c.0.2308 d.0.105
- 5)A company that operates fast food hamburger restaurant is evaluating the service at its facility. The customers have been observed to arrive at the drive-through window according at an average rate of 30 customers per hour. The restaurant believes the arrival rate conforms to a Poisson distribution. Evaluating the current service rate, the restaurant calculates that the drive-through is capable of processing 40 customers per hour. d. A vendor of specialized drive-through systems has 3 installations available. System A promises a service rate of 60 customers per hour, system B is more expensive but can process 75 customers per hour and system C requires a sizable investment and will be capable of processing 90 customers per hour. Which system should the restaurant implement? e. The current facility limits the number of cars (customers) that can be in the drive-through to 5. More than 5 cars in line means customers have to wait on a public street, causing them to leave the restaurant.…SnipAli Baba‘s Car Wash Service Centre is open 6 days a week, but its busiest day isalways on Sunday. From the previous data, Ali Baba estimates that dirty carsarrive at the rate of one every two minutes. One car at a time is cleaned in thisexample of a single-channel waiting line. Assuming Poisson arrivals andexponential service times, find the following: a.Compute the average number of cars in line. b.Calculate the value of probability that there are no car in the system. c.Compute the average time that a car spends in the system.