I did not get any hits on 'single saw bye' - Is that the case where a siding is connected to the main line at only one end? When I get a chance, I will see if I can figure out that one (I guess there are two variants of the single-junction siding, one with one and one with two switches.) Then there is the question of the minimum-length siding for arbitrarily-long trains. There seem to be some similarities to the Towers of Hanoi problem.