3.16 A basic wooden railway set contains the pieces shown in Figure 3.32. The task is to connect these pieces into a railway that has no overlapping tracks and no loose ends where a train could run off onto the floor. Write a program to find an optimal solution. a. Suppose that the pieces fit together exactly with no slack. Give a precise formulation of the task as a search problem. b. Identify a suitable uninformed search algorithm for this task and explain your choice.

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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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HW#5 Railway Tracks
3.16 A basic wooden railway set contains the pieces shown in Figure 3.32. The task is to
connect these pieces into a railway that has no overlapping tracks and no loose ends where a
train could run off onto the floor. Write a program to find an optimal solution.
a. Suppose that the pieces fit together exactly with no slack. Give a precise formulation of
the task as a search problem.
b. Identify a suitable uninformed search algorithm for this task and explain your choice.
c. Explain why removing any one of the "fork" pieces makes the problem unsolvable.
d. Give an upper bound on the total size of the state space defined by your formulation.
(Hint: think about the maximum branching factor for the construction process and the
maximum depth, ignoring the problem of overlapping pieces and loose ends. Begin by
pretending that every piece is unique.)
e. Evaluate the performance of your algorithm for effectiveness (did you use all the pieces),
efficiency (amount steps to assemble compared to best-first search solution, and worst-case
search solution algorithms), and accuracy (no overlapping tracks and no loose open ends).
x 12
х 2
x 2
х 16
Figure 3.32
copies in the set. Note that curved pieces and "fork" pieces ("switches" or "points") can be
flipped over so they can curve in either direction. Each curve subtends 45 degrees.
The track pieces in a wooden railway set; each is labeled with the number of
Transcribed Image Text:HW#5 Railway Tracks 3.16 A basic wooden railway set contains the pieces shown in Figure 3.32. The task is to connect these pieces into a railway that has no overlapping tracks and no loose ends where a train could run off onto the floor. Write a program to find an optimal solution. a. Suppose that the pieces fit together exactly with no slack. Give a precise formulation of the task as a search problem. b. Identify a suitable uninformed search algorithm for this task and explain your choice. c. Explain why removing any one of the "fork" pieces makes the problem unsolvable. d. Give an upper bound on the total size of the state space defined by your formulation. (Hint: think about the maximum branching factor for the construction process and the maximum depth, ignoring the problem of overlapping pieces and loose ends. Begin by pretending that every piece is unique.) e. Evaluate the performance of your algorithm for effectiveness (did you use all the pieces), efficiency (amount steps to assemble compared to best-first search solution, and worst-case search solution algorithms), and accuracy (no overlapping tracks and no loose open ends). x 12 х 2 x 2 х 16 Figure 3.32 copies in the set. Note that curved pieces and "fork" pieces ("switches" or "points") can be flipped over so they can curve in either direction. Each curve subtends 45 degrees. The track pieces in a wooden railway set; each is labeled with the number of
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