Question: Problem 3 Mr. Kim is running a small factory. He tries to simulate his business based on the MM1 queuing model. The arrival rate is
Problem 3
Mr. Kim is running a small factory. He tries to simulate his business based on the MM1 queuing model. The arrival rate is 3 persons per hour following a Poisson distribution, whereas the service rate is 4 persons per hour following a Poisson distribution. In the table, inter-arrival time (Ta) and service time (Ts) are generated.
Fill up the rest of the table: (UNIT: minute)
| No. of iterations | Ta | Ts | arrival time point | start time point | finish time point | waiting time (Wq) | idle time | System length (Ls) | server busy=1 | Queue length (Lq) | time in system (Ws) |
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 | 14 | 24 |
|
|
|
|
|
|
|
|
|
| 2 | 28 | 16 |
|
|
|
|
|
|
|
|
|
| 3 | 8 | 20 |
|
|
|
|
|
|
|
|
|
| 4 | 15 | 22 |
|
|
|
|
|
|
|
|
|
| 5 | 11 | 21 |
|
|
|
|
|
|
|
|
|
Step by Step Solution
There are 3 Steps involved in it
Get step-by-step solutions from verified subject matter experts