Optimizing Joint Decisions of Dynamic Pricing and Ticket Allocation for High-Speed Railway with Operators’ Risk Preference

Algorithm 1

The algorithm steps.

1: Input: The maximum number of iterations , learning factor and , inertia weight .

2: Generate randomly N particles, position matrix , velocity matrix , ,

3: fortodo

4: for to do

5: Calculate according to equation (1), (2), (3), (4);

6: Input , and into the joint model(8), (10)–(14), obtain the ticket allocation quantity using CPLEX;

7: Compute ;

  If

  Update and , record the price and the corresponding ticket allocation scheme ;

  else

  The optimal value still adopts the results obtained in generation .

8: Update and according to equation (15) and (16), meanwhile ensure within the allowable range of ticket price.

9: Output: The ticket price scheme p, the ticket allocation scheme x, the optimal fitness function value .