An MI MI4 system has an arrival rate of 12 customers per hour. Each server has a service rate of 13 customers per hour. a. What is the utilization factor for this system? (Round your answer to 3 decimal places.) Utilization factor b. If all servers are kept busy, how many services will be completed per hour? (Round your answer to the nearest whole number.)
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- An M/M/4 system has an arrival rate of 15 customers per hour. Each server has a service rate of 7 customers per hour. What is the utilization factor for this system? (Round your answer to 3 decimal place.) If all servers are kept busy, how many services will be completed per hour? (Round your answer to the nearest whole number.)RideShare offers short-term rentals of vehicles that are kept in small lots in urbanneighborhoods with plenty of potential customers. With one lot, it has eight cars. Theinterarrival time of potential demand for this lot from its base of customers is 40 minutes.The average rental period is five hours. If a customer checks availability of vehicles in thislot online and finds that they are all rented for the desired time, the customer skips rentingand finds alternative arrangements. However, because customers pay a monthly fee tosubscribe to this service, RideShare does not want customers to be disappointed too often.a. What is the offered load?b. What is the implied utilization?c. What is the capacity of the process (rentals per hour)?d. What is the probability that all eight cars are rented at the same time?e. How many customers are served every hour?f. What is the utilization of the cars?g. How many cars should it have in this lot to ensure that it serves at least 90 percent ofdemand?Give typed full explanation In an M/D/2 system, a. the service time is exponentially distributed, b. the service time is a constant, c. the interarrival time is exponentially distributed, d. the interarrival time is a constant
- A vending machine dispenses hot chocolate or coffee. Service time is 35 seconds per cup and is constant. Customers arrive at a mean rate of 66 per hour, and this rate is Poisson-distributed. Determine the average number of customers in the system. (Do not round intermediate calculations. Round your answer to 2 decimal places.) Average number of customers = ??In the library, students arrive randomly at the help desk, which is staffed by 4 employees (all of them answer inquiries from students). The time required for inquiry varies from student to student. Arrivals have been found to follow a Poisson process (i.e., exponentially distributed inter-arrival times), and the service times follow an exponential distribution. The average arrival rate is 12 students per hour, and the average service rate is 13 students per hour. What is the utilization of the help desk? Note: 1. Provide your answer as a percentage, but do not include the % mark. 2. Keep two decimal places. For example, if your result is 35.126%, enter 35.13.A priority waiting system assigns arriving customers to one of four classes. Arrival rates (Poisson) of the classes are shown in the following table. Five servers process the customers, and eachcan handle three customers per hour.a. What is the system utilization?b. What is the average wait for service by customers in the various classes? How many are waiting in each class, on average?c. If the arrival rate of the second priority class could be reduced to three units per hour by shifting some arrivals into the third priority class, how would your answers to part b change?d. What observations can you make based on your answers to part c?
- I have no idea, please help me! 1. Assume that the arrival rate is increased to 1 customer per minute and that the service rate is increased to 1.25 customers per minute. Compute the following operating characteristics for the new system: P0, Lq, L, Wq , W, and Pw. Does this system provide better, or poorer service compared to the original system? Discuss any differences and the reason for these differences.Kolkmeyer Manufacturing Company is considering adding two machines to its manufacturing operation. This addition will bring the number of machines to nine. The president of Kolkmeyer asked for a study of the need to add a second employee to the repair operation. The arrival rate is 0.06 machines per hour for each machine, and the service rate for each individual assigned to the repair operation is 0.5 machines per hour. Compute the operating characteristics if the company retains the single-employee repair operation. If required, round your answers to four decimal places. P0 = fill in the blank 1 Lq = fill in the blank 2 L = fill in the blank 3 Wq = fill in the blank 4 hours W = fill in the blank 5 hours Compute the operating characteristics if a second employee is added to the machine repair operation. If required, round your answers to four decimal places. P0 = fill in the blank 6 Lq = fill in the blank 7 L = fill in the blank 8 Wq = fill…Kolkmeyer Manufacturing Company is considering adding two machines to its manufacturing operation. This addition will bring the number of machines to nine. The president of Kolkmeyer asked for a study of the need to add a second employee to the repair operation. The arrival rate is 0.06 machines per hour for each machine, and the service rate for each individual assigned to the repair operation is 0.5 machines per hour. Compute the operating characteristics if the company retains the single-employee repair operation. If required, round your answers to four decimal places. P0 = fill in the blank 1 Lq = fill in the blank 2 L = fill in the blank 3 Wq = fill in the blank 4 hours W = fill in the blank 5 hours Compute the operating characteristics if a second employee is added to the machine repair operation. If required, round your answers to four decimal places. P0 = fill in the blank 6 Lq = fill in the blank 7 L = fill in the blank 8 Wq = fill…
- Uberya Towing Services repair vehicles that break down at an average 7.5 vehicles per day. The mechanic crew can service an average of 10 vehicles per day. The crew cost is approximately Php1406 per day. The cost associated with lost productivity from the breakdown is estimated at Php500 per vehicle per day. if an additional 2 Service crews are added, What is the Expected or Total Cost (Waiting +Service Cost)?5. Eat well is a small drive through fast food restaurant, staffed by an efficient employee John, is located in a super mall area. Customers arrive at the counter at an average of one every 15 minutes, and the customer arrival follows a Poisson distribution. John takes at most 10 minutes to process each food order. d) What percentage of time is John Idle?Raj’s Dental Clinic provides general dental care to residents of Hoboken on a walk-in basis. Theclinic has started receiving complaints from patients that the waiting time is too long and has askedyou to investigate whether this problem can be solved.Upon arrival, customers first receive a series of paperwork from the receptionist and fill out relevantinformation such as personal health records and insurance provider. The form is then handed backto the receptionist who enters the information into the computer system for the dentist to see. Adental assistant then takes an X-ray from the patient. A dentist then performs the checkup anddiscusses any issues with the patient.Based on conversations with staff members at the clinic, you have obtained the following informationon the process:• It takes about 5 minutes for a customer to fill out the paperwork.• Entry of information on the paperwork into the system and verification with past recordstakes another 5 minutes for a receptionist.…