Retrofitting Transportation Network Using a Fuzzy Random Multiobjective Bilevel Model to Hedge against Seismic Risk

Procedure 1

PAES.

generate a new solution 𝑐^𝑁

 if (𝑐 dominates 𝑐^𝑁)

  discard 𝑐^𝑁

 else if (𝑐^𝑁 dominates 𝑐)

    replace 𝑐 with 𝑐^𝑁 and add 𝑐^𝑁 to the archive

 else if (𝑐^𝑁 is dominated by any member of the archive)

    discard 𝑐^𝑁

 else if (𝑐^𝑁 dominates any member of the archive)

    replace it with 𝑐^𝑁 and add 𝑐^𝑁 to the archive and all other members

    dominated by 𝑐^𝑁 are discarded

 else

    apply test procedure to 𝑐, 𝑐^𝑁 and the archive to determine which

    becomes the new current solution and whether to add 𝑐^𝑁 to the archive

until a termination criterion has been reached, return to the beginning