In many application domains events are not Poisson distributed. For some applications it even makes sense to (more or less) assume that events are distributed in the worst possible way (e.g. in networks, packets often arrive in bursts). In this Section we study systems from a worst-case perspective. In particular, we analyze the price of not being able to foresee the future. This is a phenomeno...

a) What are the input (Pre) and output (Post) sets of transitions t5 and t8? Of place p3? b) Starting from the initial marking, which transitions are enabled after t1 and t2 have fired? c) What is the total number of tokens in N1 before and after t2 fired? d) Play the token game for N1 and construct the reachability graph. Hint You may denote the states in such a way that the index indicates th...

2 Systems and Models 7 2.1 Classification . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 2.2 Input and output representations . . . . . . . . . . . . . . . . . . . . 10 2.2.1 Time Driven Systems . . . . . . . . . . . . . . . . . . . . . . 10 2.2.2 Event Driven Systems . . . . . . . . . . . . . . . . . . . . . 11 2.3 Time . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ....