An MI M/3 system has an arrival rate of 16 customers per hour. Each server has a service rate of 7 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.) Services completed per hour
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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?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…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.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 = ??
- The Riverton Post Office has four stations for service. Customers line up in single file for service on a FIFO basis. The mean arrival rate is 40 per hour, Poisson distributed, and the mean service time per server is 4 minutes, exponentially distributed. Compute the operating characteristics for this operation. Indicate whether the operation appears to be satisfactory in terms of the following: (a) postal workers’ (servers’) idle time; (b) customer waiting time and/or the number waiting for service; and (c) the percentage of the time a customer can walk in and get served without waiting at all.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 constantIn 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.
- 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)?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?During the recent pandemic, the seaport in Savannah Georgia, the third busiest in the United States, averaged loading or unloading 6.7 cargo ships per week. The average time to unload a ship is 1.90 days. Multiple cranes to load and unload the ship operate five days a week. Do not round intermediate calculations. How many ships are waiting to be unloaded on average using Little's Law? Round your answer up to the nearest whole number. ___ ship(s) During the pandemic, at times, demand doubled, how many ships are waiting to be unloaded on average using Little's Law? Round your answer up to the nearest whole number. ___ ship(s) If demand remains at 6.7 cargo ships per week and through better scheduling, training, and crane operations, the average time to unload a ship lowers to 1.10 days, how many ships are waiting? Round your answer up to the nearest whole number. ___ ship(s)