  The nurse scheduling problem is a critical optimization challenge in
healthcare management. It aims to balance staffing demands, nurse satisfaction,
and patient care quality. Corresponding to the constraints inherent in this
scheduling problem, we detail the mathematical formulation step-by-step. We
then utilize a quantum-inspired technique, the simulated annealing algorithm,
and a quadratic unconstrained binary optimization model to optimize workload
and increase nurse preferences. Numerical experiments are implemented to show
the capacity of our proposed techniques. Our findings indicate a promising
direction for future research, with potential applications extending beyond
nurse scheduling to other complex optimization problems.
