Biobjective Optimization Algorithms Using Neumann Series Expansion for Engineering Design

Algorithm 1

  (Initialization)

Step 1 Choose and a set of weighting factors , and stopping criteria denoted by a small value , solve for , , .

  (Main loop)

Step 2 If , then stop and output . Else, go to Step 3.

Step 3 Solve ,

  If , the direction is

     ;

  Else, adjust weighting factors and to satisfy with .

  (Update)

Step 4 Define .

Step 5 Set ,go to Step 2.