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- Assume that parts arrive at a machining center at a rateof 60 parts per hour. The machining center is capableof processing 75 parts per hour—that is, the mean timeto machine a part is 0.8 minute. If you are watchingthese parts exiting the machine center, what exit ratedo you observe, 60 or 75 per hour? Explain.Consider a bank with two tellers. An average of 2 customers per hour arrive at the bank and wait in a single línea for an idle teller. The average time it takes to serve a customer is triangular (x1=1, y1=0), (x2=4, y2=2/3) Assume that inter-arrival times and services time is exponential. Develop the service (ST) equation? a. Y=2x-22/6B. Y=2x-22/3C. Y=22/3x-2/3D. Y=2x-3/22There is only one copying machine in the student lounge of the business school. Students arrive at the rate of λ=40 per hour (according to a Poisson distribution). Copying takes an average of 40 seconds, or μ=90 per hour (according to a negative exponential distribution). a) The percentage of time the machine is used = 4444 percent (round your response to the nearest whole number). The average length of the queue = 35.35 students (round your response to two decimal places).The average number of students in the system = 0.80 students (round your response to two decimal places).The average time spent waiting in the queue = 0.53minutes (round your response to two decimal places). The average time in the system = minutes (round your response to two decimal places).
- 2. A repair and inspection facility consists of two stations: a repair station with two technicians, and an inspector station with 1 inspector. Each repair technician works at the rate of 3 items per hour; the inspector can inspect 8 items per hour. Approximately 10% of all items fail inspection and are sent back to the repair station. (This percentage holds even for items that have been repaired two or more times.) If items arrive at the rate of 5 per hour, what is the long-run expected delay that items experience at each of the two stations, assuming a Poisson arrival process and exponentially distributed service times? What is the maximum arrival rate that the system can handle without adding personnel?Consider the baggage check-in process of a small airline. Check-in data indicate thatfrom 9 a.m. to 10 a.m., 240 passengers checked in. Moreover, based on counting thenumber of passengers waiting in line, airport management found that the average number of passengers waiting for check-in was 30. How long did the average passenger haveto wait in line?There is only one copying machine in the student lounge of the business school. Students arrive at the rate of λ=50 per hour (according to a Poisson distribution). Copying takes an average of 50 seconds, or μ=72 per hour (according to a negative exponential distribution). a) The percentage of time the machine is used = percent (round your response to the nearest whole number). b) The average length of the queue = students (round your response to two decimal places). c) The average number of students in the system = students (round your response to two decimal places). d) The average time spent waiting in the queue = minutes (round your response to two decimal places). e) The average time in the system = minutes (round your response to two decimal places)
- There is only one copying machine in the student lounge of the business school. Students arrive at the rate of λ=40 per hour (according to a Poisson distribution). Copying takes an average of 50 seconds, or μ=72 per hour (according to a negative exponential distribution). a) The percentage of time the machine is used = percent (round your response to the nearest whole number). b) The average length of the queue = enter your response here students (round your response to two decimal places). c) The average number of students in the system = students (round your response to two decimal places).There is only one copying machine in the student lounge of the business school. Students arrive at the rate of λ=40 per hour (according to a Poisson distribution). Copying takes an average of 45 seconds, or μ=80 per hour (according to a negative exponential distribution). a) The percentage of time the machine is used = 0.5percent (round your response to the nearest whole number). b) The average length of the queue = 0.50students (round your response to two decimal places). c) The average number of students in the system = 1 students (round your response to two decimal places). d) The average time spent waiting in the queue = ??? enter your response hereminutes (round your response to two decimal places).* 08 HI FL R %S4 LLI %#3 50 For the first two hours of the day, the arrival rate at the donut shop is 10 customers per hour. The donut shop is capable of serving 8 customers per hour. Assume that the system is empty at the start and that no customer who arrives leaves without being served. (Round your answer to 2 decimal places.) What is the average wait time for customers during this time period (in hours)? unoy nces Mc Graw Wellington Paranormal Stars and Pahkitew Island RESTAURANT Restaurant: Scissor Seven My 600-lb Life The Afterparty Pam & Tommy As We See It 8,425 MAR étv A 644 DD F7 F12 F8 F10 F3 F 4 F5 93 %23 5 delet 9 7. 2. } P. 1 B. W N alt 38 command MOSISO command
- Customers arrive at a video rental desk at the rate of 14 per minute(Poisson).Each server can handle 6.55 customers per minute(Poisson). If there are 3 servers, determine the average time it takes to rent a video tape. a. 0.09 minutes b. 1.266 minutes c. 0.146 minutes d. 0.243 minutesDrivers who come to get their licenses at the Department of Motor Vehicles have their photograph taken by an automated machine that develops the photograph onto the license card and laminates the complete license. The machine requires a constant time of 4 minutes to prepare a complete license. The interarrival time between two drivers is 6 minutes distributed exponential. a) What type of queuing model this system follow ? b) Determine the average length of the waiting line. c) Determine the average waiting time.A single server queuing system with a Poisson arrival rate and exponential service time has an average arrival rate of 6 customers per hour and an average service rate of 15 customers per hour. The average length of time customers will spend in the system is: O a. 2.667 minutes O b. 0.1111 minutes O c. 6.667 minutes O d. 0.04444 minutes