Asssume customers can always enter the waiting line
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A mail order firm has one customer service representative. On average, one potential customer call CSD every four minute. The customer service representative requires on average 2 minutes to serve a customer. Both arrival and service time have a coefficient of 1. (a) if the firm has to pay 5 cents for every minute of waiting for each customer, how much money the firm has to spend in a 8 hour period? Asssume customers can always enter the waiting line
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- (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%Please 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 FeedbackPlease do not give solution in image formate thanku. The manager of the Safeway store (close to Santa Clara University) is considering improving the customer service level by reducing customers’ average waiting time for checkout. Based on the past year’s data, he knows that customers try to check out every 2 minutes, on average, and the standard deviation of the interarrival time is also 2 minutes. It takes on average 3 minutes to finish the checkout process. The standard deviation of the processing times is 3 minutes. The manager’s goal is to make sure the customers’ average waiting time is less than 0.5 minute. How many checkout cashiers should the manager use?
- 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 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 formate thanku. λ= 4 customers per hour; μ = 5 customers per hour; M= 1 An average of 20 customers arrive at a service center each hour. There are two servers on duty, and each can process 12 customers per hour. a) What is the system utilization? b) What is the average waiting time for customers who actually have to wait? c) What is the average time customers wait in line for service?
- A small town with one hospital has two ambulances to supply ambulance service. Requests forambulances during non-holiday weekends average .45 per hour and tend to be Poisson-distributed.Travel and assistance time averages two hours per call and follows an exponential distribution.Find:a. System utilizationb. The average number of customers waitingc. The average time customers wait for an ambulanced. The probability that both ambulances will be busy when a call comes inIn an M/MA queueing system, the arrival rate is 5 customers per hour and the service rate is 9 customers per hour. If the service process is automated (resulting in no varlation in service times but the same service rate), what will be the resulting performance measurements? (Round your answers to 3 decimal places.) a. What is the utilization? Ubization b. What is the expected number of customers in the system (L)? Number of customers c. What is the expected walting time (in hours) for the system (W? Waiting timetin nours)In an M/MA queueing system, the arrival rate is 4 customers per hour and the service rate is 6 customers per hour. If the service process is automated (resulting in no variation in service times but the same service rate), what will be the resulting performance measurements? (Round your answers to 3 decimal places.) a. What is the utilization? Utilization b. What is the expected number of customers in the system (L)? Number of customers c. What is the expected waiting time (in hours) for the system (W)? Waiting time(in hours) d. What is the expected number of customers in the queue(La)? < Prev 2 of 5 Next raw lill
- In the ticket counter, customer arrivers in the queue according to Poisson process with 15/hour mean rate. The total time taken to serve a customer has an exponential distribution with 150 seconds of mean. What is the average waiting time of a customer (both in Queue and System)? ✓ Queue - 225 Sec, System - 125 Sec Queue - 125 Sec, System - 225 Sec Queue - 250 Sec, System - 325 Sec Queue - 250 Sec, System - 400 SecIn an M/MA queueing system, the arrival rate is 8 customers per hour and the service rate is 11 customers per hour. If the service process is automated (resulting in no variation in service times but the same service rate), what will be the resulting performance measurements? (Round your answers to 3 decimal places.) a. What is the utilization? Utilization b. What is the expected number of customers in the system (L)? Number of customers c. What is the expected waiting time (in hours) for the system (W)? Waiting time(in hours)