
This paper considers the ''unit commitment'' problem of scheduling a collection of power generation machines to meet a random demand for power. There are positive startup and operating costs associated with each machine. This ''demand'' is modeled as a diffusion process. The minimal cost function satisfies the optimality system (quasi-variational inequalities). The main idea is to study the behavior of this optimality system under two features: (1) a scheduling delay and (2) different relative magnitudes of the costs (operating or starting) of different units.
Deterministic scheduling theory in operations research, stochastic scheduling, Dynamic programming in optimal control and differential games, Variational inequalities, Dynamic programming, quasi-variational inequalities, Optimal stochastic control, unit commitment'' problem, Diffusion processes
Deterministic scheduling theory in operations research, stochastic scheduling, Dynamic programming in optimal control and differential games, Variational inequalities, Dynamic programming, quasi-variational inequalities, Optimal stochastic control, unit commitment'' problem, Diffusion processes
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