1. Patients arrive at a dentist's office with an arrival rate of 2.8 patients per hour. The dentist can treat three patients per hour. A study of the times Patient waiting shows that one waits an average of 30 minutes before seeing the patient. dentist. a. What are the rates of services and arrivals based on patients per minute? b. What is the average number of patients in the waiting room? C. If a patient arrives at 10:10 a.m., what time does he expect to leave the office? 2. The Fore and Aft Marina manager wants to investigate the possibility of enlarge the pier so that two boats can stop at the same time to load fuel and for service. Suppose the arrival rate is 5 boats per hour and that the service rate for each channel is 10 boats per hour. a. What is the probability that the pier is idle? b. What is the average number of boats that will be waiting for service? c. What is the average time a boat will spend waiting for service? d. What is the average time a boat will spend at the dock? and. If you were the manager of the Fore and Aft Marina, you would be pleased with the level of service that the system provides? Why? 3. id-West Publishing Company publishes college-level textbooks. The company operates an 800 telephone number through which potential buyers can ask questions about upcoming books, request copies of books to examine, and make orders. Two extensions are currently in use, with two representatives in charge to answer phone calls. Calls that arrive when both extensions are busy receive a busy signal; waiting is not allowed. each representative You can handle an average of 12 calls per hour. The arrival rate is 20 calls per hour. 4. City Cab, Inc. uses two dispatchers to handle requests and dispatch cabs. Calls to City Cab use a common phone number. When the two dispatchers are busy, the requester hears a busy signal; I don't know lets wait. Requesters receiving a busy signal can call back later or call another taxi service. Assume that the arrival of calls follows a Poisson probability distribution, with a mean of 40 calls per hour and that each dispatcher can handle an average of 30 calls per hour. a. What percentage of the time are dispatchers idle It is not required to answer the examples, just the following question: Which of the above 4 examples follows Poisson arrivals and service time not exponential?
1. Patients arrive at a dentist's office with an arrival rate of 2.8 patients per hour. The dentist can treat three patients per hour. A study of the times Patient waiting shows that one waits an average of 30 minutes before seeing the patient. dentist. a. What are the rates of services and arrivals based on patients per minute? b. What is the average number of patients in the waiting room? C. If a patient arrives at 10:10 a.m., what time does he expect to leave the office?
2. The Fore and Aft Marina manager wants to investigate the possibility of enlarge the pier so that two boats can stop at the same time to load fuel and for service. Suppose the arrival rate is 5 boats per hour and that the service rate for each channel is 10 boats per hour. a. What is the probability that the pier is idle? b. What is the average number of boats that will be waiting for service? c. What is the average time a boat will spend waiting for service? d. What is the average time a boat will spend at the dock? and. If you were the manager of the Fore and Aft Marina, you would be pleased with the level of service that the system provides? Why?
3. id-West Publishing Company publishes college-level textbooks. The company operates an 800 telephone number through which potential buyers can ask questions about upcoming books, request copies of books to examine, and make orders. Two extensions are currently in use, with two representatives in charge to answer phone calls. Calls that arrive when both extensions are busy receive a busy signal; waiting is not allowed. each representative You can handle an average of 12 calls per hour. The arrival rate is 20 calls per hour.
4. City Cab, Inc. uses two dispatchers to handle requests and dispatch cabs. Calls to City Cab use a common phone number. When the two dispatchers are busy, the requester hears a busy signal; I don't know lets wait. Requesters receiving a busy signal can call back later or call another taxi service. Assume that the arrival of calls follows a Poisson probability distribution, with a mean of 40 calls per hour and that each dispatcher can handle an average of 30 calls per hour. a. What percentage of the time are dispatchers idle
It is not required to answer the examples, just the following question: Which of the above 4 examples follows Poisson arrivals and service time not exponential?
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
