Human Alertness Optimization with a Three-Process Dynamic Model

Circadian rhythm is an important biological process for humans as it modulates a wide range of physiological processes, including body temperature, sleep-wake cycle, and cognitive performance. As the most powerful external stimulus circadian rhythm, light has been studied zeitgeber to regulate phase sleep. This paper addresses human alertness optimization problem, by optimizing exposure sleep schedules relieve fatigue impairment, in cases night-shift workers subjects with certain mission periods based on dynamics system. A three-process hybrid dynamic model used simulating predicting subjective sleepiness. Based interindividual difference type living habits, we propose tunable schedule which allows appropriate tuning wake times propensity. Variational calculus applied evaluate impacts gradient descent algorithm proposed determine optimal solutions maximize level various cases. Numerical simulation results demonstrate that performance during can be significantly improved input sleep/wake compared empirical data.