'n a system with a single capacity 1 server with Random.Exponential(0.25) minutes inter-arrival time and Random.Triangular(.1,.2,.3) minutes processing time, what is the expected server utilization?
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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%A server operates with 80 % utilization. Coefficient of variation of service process is 0.5. Coefficient of variation of arrival process is 0.9. Average processing fime is 3 minutes. What is the average time a customer spends in the system using the single server queueing model 7 Show all formulas used, calculations and results.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?
- In a queuing model which follows the single server operation has ? = 2 and ? = 8. The evrage number in the system Ls is ____ and the utilization of the system is ____ a. 0.33 ; 25% b. 3 ; 100% c. 6 ; 25% d. 4 ; 33%An engineering i rm retains a technical specialist to assist four design engineers workingon a project. The help that the specialist gives engineers ranges widely in time consumption.The specialist has some answers available in memory, others require computation,and still others require signii cant search time. On the average, each request for assistancetakes the specialist one hour.The engineers require help from the specialist on the average of once each day. Becauseeach assistance takes about an hour, each engineer can work for seven hours, on the average,without assistance. One further point: Engineers needing help do not interrupt if thespecialist is already involved with another problem.Treat this as a i nite queuing problem and answer the following questions:a. How many engineers, on average, are waiting for the technical specialist for help?b. What is the average time that an engineer has to wait for the specialist?c. What is the probability that an engineer will have to wait…