In this paper, an adaptive dynamic programming discrete-time linear quadratic Riccati (ADP-DTLQR) control is designed for electromagnetic levitation system (EMS) to track the reference trajectories and preserve stability in severe situations efficiently. The EMS has a strongly nonlinear unstable nature. ADP-DTLQR approach novel method based on Q-learning algorithm unknown systems causal manner....

This paper analyzes a controllable discrete-time machine repair problem withL operating machines and two repairmen. The number of working servers can be adjusteddepending on the number of failed machines in the system one at a time at machine's failure orat service completion epochs. Analytical closed-form solutions of the stationary probabilities ofthe number of failed machines in the system a...

this paper investigates a discrete-time impatient customer queue with bernoulli-schedule vacation interruption. the  vacation times and the service times during regular busy period and during working vacation period are assumed to follow geometric distribution. we obtain the steady-state probabilities at arbitrary and outside observer's observation epochs using recursive technique. cost an...