. Find system utilization. (Round your answer to the nearest whole percent.) System utilization = % . Find the average number of customers waiting. (Round your answer to 3 decimal places.) Average number of customers . Find the average time customers wait for an ambulance. (Round your answer to 3 decimal places.)
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- Repair calls are handled by one repairman at a photocopy shop. Repair time, including travel time, is exponentially distributed, with a mean of two hours per call. Requests for copier repairs come in at a mean rate of three per eight-hour day (assume Poisson). Use Table 1. b. Determine system utilization. (Omit the "%" sign in your response.) System utilization %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?5. 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 in
- 1. A single cashier handles customers that arrive at a bakery. About 34.8 customers come into the bakery per hour. It takes 73 seconds to serve each customer (standard time). 2. What is the utilization of the cashier?What is the probability there are no customers in line or at the cashier? 3. What is the probability there are less than 2 customers waiting? Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.Describe the implications for customer service and serverskills when using a single-line, multiserver, single-phase waitingline system.14. A small town's hospital wanted to an analysis about the ambulance number that they own/need to own. Requests for ambulance is 0,45 per hour and tend to follow Poisson-distribution. Travel and assistance time averages two hours per call. There is no assumption regarding the distribution of service time. a. What are the arrival and service rates b. Compute the average number of customers being served at any time c. Calculate the system utilization for total number of server values of M=1,2 and 3 d. Suppose someone made a day long observation and concluded that the average queue length is 1,7 requests. Then please calculate the average number of people in the system.
- A 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.Describe the implications for customer service and serverskills when using a single-line, single-server, single-phase waitingline systemPlease 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 Feedback
- Give and explain briefly that in what kinds of situations is queuing analysis is most appropriate.Shoprite is a busy center for residents in East Legon and its surrounding community. Assume that 2 customers arrive every 12 minutes and 3 customers are served every 15 minutes and that currently, there is only one cashier. (i) Determine the average waiting time in minutes before service begins. (ii). Advice the management the proportion of the time that a customer has to wait.Describe two examples of unethical behavior related to waiting line management, and state whichethical principles they violate.CRITICAL THINKINGEXERCISES1. a. λ = 3 customers/hourμ = 5 customers/hourM = 1(1) What is the system utilization?(2) What is the average number of customers waiting for service?(3) What is the average time customers wait in line for service? b. Repair 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 copier repairscome in at a mean rate of three per eight-hour day (assume Poisson). Determine:(1) The average number of customers awaiting repairs.(2) System utilization.(3) The amount of time during an eight-hour day that the repairman is not out on a call.(4) The probability of two or more customers in the system.c. An average of 18 customers arrive at a service center each hour. There are two servers on duty,and each server can process 12…