Markov Analysis Example

This first chart is a transition probability matrix:

Transition Probability

Positions Current Year

$12345$ Exit

$1$ Tellers $0\mathrm{.}560\mathrm{.}110\mathrm{.}030\mathrm{.}000\mathrm{.}000\mathrm{.}30$

$2$ Customer Service Representatives $0\mathrm{.}000\mathrm{.}460\mathrm{.}080\mathrm{.}050\mathrm{.}000\mathrm{.}41$

$3$ Teller Supervisor $0\mathrm{.}000\mathrm{.}000\mathrm{.}630\mathrm{.}120\mathrm{.}000\mathrm{.}25$

$4$ Assistant Branch Manager $0\mathrm{.}000\mathrm{.}000\mathrm{.}000\mathrm{.}520\mathrm{.}080\mathrm{.}40$

$5$ Branch Manager $0\mathrm{.}000\mathrm{.}000\mathrm{.}000\mathrm{.}000\mathrm{.}700\mathrm{.}30$

This chart shows that $30\%$ of tellers exited the company $(41\%$ of CSR$\text{'}$s$,25\%$ of Teller Supervisors, etc.$).$ This also represents percentages of employees moving to other positions. For example: $46\%$ of CSRs stayed in their current position, while $8\%$ were promoted to Teller Supervisors and $5\%$ were promoted to Assistant Branch Managers.