Operations research and quantitative methods in managerial decision-making

Comprehensive examples

The first question

The admission and registration staff at Al-Aqsa University can receive students with an average of 70 students

Per hour on average. The average student arrival at the Admission and Registration Department is 50 students per hour

in the middle.

Required

1. Is there any chance that admission and registration will be busy?

2. Percentage of unused lost time?

3. The average number of students expected in the system?

4. The average number of students expected in a waiting line?

5. Average student waiting time expected in the system?

6. The average expected waiting time for students in a waiting line?

second question

Gaza port can receive fishing boats at an average rate of 40 boats per hour.

The average boat arrivals to the port is 20 boats per hour.

Required

1. Average number of boats expected in the system?

2. The average number of boats expected in the queue?

3. Average expected boat waiting time in the system?

4. The expected average waiting time for a ship in a queue?