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Scheduling IT Staff at a Bank: A Mathematical Programming Approach

4. Model Formulation

4.2. Decision Variables

The used decision variables can be described as follows:

x_{i j k l}= \begin{cases}1, & \text { if employee } i \text { of category } j \\ & \text { is working in shift } k \text { on day } l \\ 0, & \text { otherwise. }\end{cases}

D_{i j w} : the number of overtime shifts of employee i of category j in week w, R_{i j} : the number of days where the employee i of category j worked and normally he does not want to work,

y_{i w}= \begin{cases}1, & \text { if employee } i \text { is working external } \\ & \text { shift during the week } w \\ 0, & \text { otherwise. }\end{cases}