Design Pattern: Restoring State & Operation

What would be a good approach to resume both the state & operation of an object?

For example, when transition to a particular state, the object will need to perform a certain operation.

The problem is when restoring the state directly via the object constructor: it is not a good practice to perform operation in the constructor. So at this point, only the state is restored, not the operation.

enum State { OPEN, CLOSED }

class Stuff {

    State state;
    Timer timer;

    Stuff(State state, Timer timer) {
        this.state = state;
        this.timer = timer;

        // It is not a good idea to call timer.start() here when the state = OPEN.
    }

    void open() {
        state = OPEN;
        timer.start();
    }

    void close() {
        state = CLOSED;
    }

}