ls_tpqa: Three-point quadratic approximation local search

In fcampelo/MOEADr: Component-Wise MOEA/D Implementation

Three-point quadratic approximation local search

Description

Three-point quadratic approximation (TPQA) local search implementation for the MOEA/D

Usage

ls_tpqa(
  Xt,
  Yt,
  W,
  B,
  Vt,
  scaling,
  aggfun,
  constraint,
  epsilon = 1e-06,
  which.x,
  ...
)

Arguments

Xt	Matrix of incumbent solutions
Yt	Matrix of objective function values for Xt
W	matrix of weights (generated by generate_weights()).
B	Neighborhood matrix, generated by define_neighborhood().
Vt	List object containing information about the constraint violations of the incumbent solutions, generated by evaluate_population()
scaling	list containing the scaling parameters (see moead() for details).
aggfun	List containing the aggregation function parameters. See Section Scalar Aggregation Functions of the moead() documentation for details.
constraint	list containing the parameters defining the constraint handling method. See Section Constraint Handling of the moead() documentation for details.
epsilon	threshold for using the quadratic approximation value
which.x	logical vector indicating which subproblems should undergo local search
...	other parameters (included for compatibility with generic call)

Details

This routine implements the 3-point quadratic approximation local search for the MOEADr package. Check the references for details.

This routine is intended to be used internally by variation_localsearch(), and should not be called directly by the user.

Value

Matrix X' containing the modified population

References

Y. Tan, Y. Jiao, H. Li, X. Wang, "A modification to MOEA/D-DE for multiobjective optimization problems with complicated Pareto sets", Information Sciences 213(1):14-38, 2012.

Y.-C. Jiao, C. Dang, Y. Leung, Y. Hao, "A modification to the new version of the prices algorithm for continuous global optimization problems", J. Global Optimization 36(4):609-626, 2006.

F. Campelo, L.S. Batista, C. Aranha (2020): The MOEADr Package: A Component-Based Framework for Multiobjective Evolutionary Algorithms Based on Decomposition. Journal of Statistical Software doi: 10.18637/jss.v092.i06

fcampelo/MOEADr documentation built on Jan. 9, 2023, 6 a.m.