On-call/casual personnel scheduling

We present a novel flexible on-call shift scheduling system with employee preferences that is responsible to interact with casual/on-call employees to schedule on-call shifts on short notice. The flexibility in the system also allows a senior employee to replace/bump a junior employee and change the current schedule under certain conditions. The objective in this dynamic problem is to minimize such schedule modifications while also minimizing the number of vacant shifts at the end of the planning process. An IP is formulated for the deterministic problem under complete information. We solve it approximately to gain insights that allow us to propose different policies for the dynamic problem.