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Timeline for Optimization over permutation

Current License: CC BY-SA 4.0

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Sep 15, 2023 at 13:49 history edited RobPratt CC BY-SA 4.0
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Sep 15, 2023 at 8:58 comment added Honglian thank you for your nice answer! I have a further question: In the time dependent tsp, we usually assume the cost C_{i,j,t} is a given value, right? Usually C_{i,j,t} can be expressed as a step function w.r.t t. However, if we reduce my problem to the TDTSP, then C_{i,j,t} will depend not only on $t$, but all other nodes that are visited before node $j$. Specifically, in permutation (dummy node, x_1, x_2, ... x_n, dummy node), C_{i,j,t}=d(x_j, {dummy node, x_1, ...x_i}) * p^{i+1} if t=i, and 0 therwise. In this case, I do not see an easy way of using TDTSP to solve my problem.
Sep 14, 2023 at 23:55 history edited RobPratt CC BY-SA 4.0
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Sep 14, 2023 at 20:05 history answered RobPratt CC BY-SA 4.0