Dynamic Customer Classes

ASQ allows customers to probabilistically change their class after service. That is after service at node k a customer of class i will become class j with probability P(J=j | I=i, K=k). These probabilities are input into the system through the Class_change_matrices.

Below is an example of a class change matrix for a given node:

Node 1
0.3	0.4	0.3
0.1	0.9	0.0
0.5	0.1	0.4

Node 2
1.0	0.0	0.0
0.4	0.5	0.1
0.2	0.2	0.6

In this example a customer of class 0 finishing service at node 1 will become class 0 again with probability 0.3, will become class 1 with probability 0.4, and will become class 2 with probability 0.3. A different matrix is given for customers finishing service at node 2.

This is input into the simulation model by including the following to the parameters dictionary:

'Class_change_matrices':{'Node 0':[[0.3, 0.4, 0.3], [0.1, 0.9, 0.0], [0.5, 0.1, 0.4]], 'Node 1':[[1.0, 0.0, 0.0], [0.4, 0.5, 0.1], [0.2, 0.2, 0.6]]}

This is equivalent to adding the following code to the parameters file:

Class_change_matrices:
  Node 0:
  - - 0.3
    - 0.4
    - 0.3
  - - 0.1
    - 0.9
    - 0.0
  - - 0.5
    - 0.1
    - 0.4
  Node 1:
  - - 1.0
    - 0.0
    - 0.0
  - - 0.4
    - 0.5
    - 1.0
  - - 0.2
    - 0.2
    - 0.6

Omitting this code will simply assume that customers cannot change class after service.