Service Rate 4 minutes to help 1 customer Arrival Rate 10 customers arrive per hour in a single server model: Calculate the average number of customers in the system. (Choose the closest answer) O 4.0 customers O 1.33 customers O 1.0 customers O 2.0 customers 1.55 customers
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- Given the following data at the drive-through of a bank, what is the interarrival time between the first and second customers? TITIT Customer Arrival Time Service Time (minutes) 8:06 8:10 10 8:15 7 4 8:25 2. 10 minutes O S minutes O 4 minutes O 20 minutesSingle server system has customer arrival rate of 60 customers per minute and a service rate of 75 customers per minute. Customer arrival pattern is finite and they won't leave till they are served. The Arrival and Service patterns, both are exponential distribution. Based on the above information calculate a. Server utilization% b. Average numbers of customers in line C. Average time per customer in Line d. Average numbers of customers in system e. Average time per customer in SystemPlease 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 4 ambulances to supply ambulance service. Requests for ambulances during nonholiday weekends average 0.72 per hour and tend to be Poisson-distributed. Travel and assistance time averages 2.60 hours per call and follows an exponential distribution Use Table 18.4. a. Find system utilization. (Round your answer to the nearest whole percent.) System utilization b. Find the average number of customers waiting. (Round your answer to 3 decimal places.) Average number of customers c. Find the average time customers wait for an ambulance. (Round your answer to 3 decimal places.) Average time hourPls solve this question correctly in 10 min i will give u thumsup 1. Which of the following statements are true about for the M/D/3 queuing system? Arrival rate is Poison distributed. I- Service time is Exponentially distributed. Ill- Inter-arrival is Exponentially distributed. 1v- There are 3 servers, 2. 5. What is the optimal solution for max Z=×+2y, st., x+ y less than or equal tpo 40, 2x + 4y less thsn or equal to 60, x, y greater than or equal to 0? A) Unique optimal solution, Z° = 30 B) Alternate optimal solutions, z = 30 C) Unique optimal solution, Z*= 40 D) infeasible solutionRepair 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). Determine the following: a. The average number of customers awaiting repairs. (Round your answer to 2 decimal places.) b. System utilization. Percentage c. The amount of time during an eight-hour day that the repairman is not out on a call. d. The probability of two or more customers in the system. (Do not round intermediate calculations. Round your answer to 4 decimal places.) ( please give deeply eplaination with stepwise answer)
- Saved Help Save & Exit Su In an M/MA queueing system, the arrival rate is 3 customers per hour and the service rate is 5 customers per hour. a. What is the utilization? (Round your answer to 3 decimal places.) Utilization b. What is the expected number of customers in the system (L)? (Round your answer to 3 decimal places.) Expected number of customers c. What is the expected waiting time in the system (W? (Express the waiting time in hours, round your answer to 3 decimal places.) Expected waiting time d. What is the expected number of customers in the queue(Lq)? (Round your answer to 3 decimal places.) Mc Graw Hill Prev 1 of 5 Next >Taylor Swiftt works at a call center as an analyst. In her role, she is tasked with data administration and finding patterns in the data generated from all of the customer service interactions that take place. She has been asked to create a visualization of this data so that she can see at what time most service calls come in during the week. What would you recommend that Taylor develop so that her supervisor can see when calls are coming in, live? Choose the best answer from the options available. Group of answer choices A daily report An interactive dashboard A crystal ball A narrativeThe following information pertains to telephone calls to a motel switchboard on a typical Tuesday.PeriodIncoming Rate(calls perminute)Service Rate(calls per minuteper operator)Number ofOperatorsMorning 1.8 1.5 2Afternoon 2.2 1.0 3Evening 1.4 0.7 3a. Determine the average time callers wait to have their calls answered for each period and theprobability that a caller will have to wait for each period.b. For each case in the previous problem, determine the maximum line length for a probability of96 percent.
- Refer to the following information and output. Number of Servers Arrival Rate Service Rate P(0), probability that there are no customers in the system Lq, average length of the queue W, average time in the system L, average number of customers in the system Wq, average time in the queue Utilization factor of the system What is the average number of customers in the queue? O 2.33 O .23 O .70 O 1.63 1.0 7.00 10.00 30% 1.63 0.33 2.33 0.23 70%A small town with one hospital has 4 ambulances to supply ambulance service. Requests for ambulances during nonholiday weekends average 0.70 per hour and tend to be Poisson-distributed. Travel and assistance time averages 2.50 hours per call and follows an exponential distribution Use Table 1. a. Find system utilization. (Round your answer to the nearest whole percent. Omit the "%" sign in your response.) System utilization % b. Find the average number of customers waiting. (Round your answer to 3 decimal places.) Average number of customers c. Find the average time customers wait for an ambulance. (Round your answer to 3 decimal places.) Average time hour d. Find the probability that all ambulances will be busy when a call comes in. (Round intermediate calculations to 3 decimal places and final answer to 2 decimal places.) Probabilitysome of the advantages of using the queuing simulaton ? It's from operations management subject don't send it otherwise !!