See an example model attached.

It finds a simple path from s to t, whose length is closest to the
desired length. The idea to eliminate subtours is the same as in
tsp.mod. However I think there must be a more elegant formulation.

For your instance I obtained the following solution:

Optimal path has length 1121
From node   To node   Distance
        2         6        120
        3         5         37
        6         3        208
        5         7         36
        7         9         41
        9        11        182
       11        12        224
       12        17        187
       17        16         86


Andrew Makhorin

Attachment: path.mod
Description: Binary data

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