Moving an object along a line

I want to create a room with furniture objetcs to move along the edges of the room and use galapagos to find the optimum placement of furniture in a room. What node would be useful to move the objects along a line or curve in grasshopper.

Quick idea:

It ignores collision with corners (and later with other furniture) and many other issues but as basic setup, it would work. (6.0 KB)

Thank you so much

Update of the previous example with added collisions and Galapagos. (16.4 KB)

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