By Charles F. Miller III

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6). Note that this concept has already been used in the function schedule. The corresponding function can be written as follows: event* evenUist :: removeJirst O{ event* first = Heap[1]; event* last = Heap[size]; double time = Heap[size] -> event-time; size--; int x = 1; int c = min_child (1); while (Heap[c] -> evenUime < time){ Heap[x] = Heap[c]; x = c; c = min_child (c); } Heap[x] = last; return first; } An auxiliary function min_child selects among the children of x a node containing a smaller value of event time.

It would be tempting to add next levels of keys in order to reduce the time complexity even further. yri). Unfortunately, a point of diminishing returns would be reached very quickly as the overhead incurred in maintaining a balanced structure will begin to outweigh theoretical gains offered by more sophisticated multi-level structures. Removal of the first element from the two-level indexed list is slightly more complicated. Let us assume that the list of keys is accessible via a variable head_key.

7. 7: TAKE A SEAT (I: BUS STOP; B: BUS NUMBER) 1: If there are no passengers or there are no free seats, go to step 5. 2: Remove the first passenger from the stop queue. 3: Decrease the number of free seats in the bus by one. 4: Schedule the next take a seat event and exit. 5: Make the bus stop free. 6: Schedule the bus arrival at the next stop. 6. 24 2. Event scheduling The last step of the above algorithm is of particular interest. As we have seen, the arrival of a bus at a stop does not mean that service of passengers will start immediately.

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Notes on finite state automata by Charles F. Miller III
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