Construct a transition model with a specified equilibrium
A weekly stock model records reusable containers at two storage depots. The state column below is unchanged after one transition
Use the state order central depot, regional depot and write state populations as a column. In T, a column is the current state and a row is the next state
\[S=\begin{bmatrix} 625 \\ 875 \end{bmatrix}\]
The entries marked ? are the missing transition entries in one source-state column
\[T=\begin{bmatrix} ? & 0.2 \\ ? & 0.8 \end{bmatrix}\]
The supplied rate is \(0.2\) from regional depot to central depot
At equilibrium, the flow from central depot to regional depot equals the flow from regional depot to central depot