1. Introduction ............................................................................. 7

2. Standard operators.................................................................. 11

1-Point Crossover .......................................................................... 11

k-Point Crossover .......................................................................... 12

Shuffle Crossover .......................................................................... 14

Reduced Surrogate Crossover........................................................... 15

Uniform Crossover........................................................................... 16

Heuristic Uniform Crossover, Highly Disruptive Crossover ....................... 17

Average Crossover.......................................................................... 19

Discrete Crossover.......................................................................... 20

Flat Crossover............................................................................... 21

Heuristic Crossover /Intermediate Crossover........................................ 22

Blend Crossover............................................................................. 23

3. Binary coded operators............................................................ 25

Random Respectful Crossover........................................................... 25

Masked Crossover .......................................................................... 28

1bit Adaptation Crossover ............................................................... 30

Multivariate Crossover .................................................................... 34

Homologous Crossover..................................................................... 36

Count-preserving Crossover ............................................................. 38

Elitist Crossover............................................................................. 40

Scanning Crossover ....................................................................... 42

Partial Copy Crossover .................................................................... 45

Knowledge-Based Nonuniform Crossover.............................................. 47

Circle-ring Crossover....................................................................... 49

Sufficient Exchanging...................................................................... 51

Linkage Evolving Genetic Operator .................................................... 53

2N-parent Parameter Wise Crossover................................................. 55

Diagonal Crossover ........................................................................ 58

Gene Pool Crossover ...................................................................... 60

Hierarchical Crossover .................................................................... 62

Randomized and/or Crossover........................................................... 66

Simple Conjugation Operator ............................................................ 68

Adaptive Strategies of Mixing Crossovers............................................ 70

Orthogonal Crossover ..................................................................... 72

Microbial Crossover ........................................................................ 75

Selective Crossover-1 .................................................................... 78

Exchange Crossover - Linkage Crossover............................................. 80

Multi Sexual Scanning Crossover........................................................ 82

Differences-Based Crossover ........................................................... 84

Fusion Crossover ........................................................................... 87

Multiple Chromosomes Crossover ...................................................... 89

Restricted Crossover....................................................................... 91

Selective Crossover-2 .................................................................... 94

Self Crossover............................................................................... 97

Multi-cut Crossover ...................................................................... 100

Transposition Operator .................................................................. 102

Tournament Based Transposition Operator......................................... 106

Dominant Splice - Symbiotic Combination.......................................... 112

Dissociated Crossover.................................................................... 114

Spontaneous Crossover.................................................................. 116

Binary Search Point Crossover ........................................................ 118

Fixed Crossover ........................................................................... 121

Common Features/Random Sample Climbing Crossover ........................ 123

Asexual Transposition ................................................................... 126

Disrespectful Crossover.................................................................. 130

Asymmetric Two-point Crossover.................................................... 132

Variation of Asymmetric Two-point Crossover ................................... 135

Best Combinatorial Crossover ......................................................... 137

Hybridization Crossover ................................................................ 139

Mixed Crossover.......................................................................... 141

Direct Design Variable Exchange Crossover........................................ 143

Best Schema Crossover ................................................................ 145

Variable Length Genomes Crossover ................................................ 148

Three-Parent Crossover ................................................................ 152

Partially Randomized Crossover....................................................... 154

Statistic-Based Adaptive Non-Uniform Crossover................................ 156

Multiple Crossover Operators-1 ...................................................... 158

Half Sibling and a Clone.................................................................. 161

Adaptive Number of Crossover Points ............................................... 163

Sexual Selection Crossover ............................................................ 166

Chromosome Shuffling.................................................................... 168

Orthogonal Latin Mutli-Parent Crossover ........................................... 170

Different Location Crossover .......................................................... 172

Combined Balanced Crossover......................................................... 174

Hybrid 1-Point Crossover ............................................................... 177

Count-preserving Crossover-2......................................................... 179

Fitness Weighted Crossover (Binary)................................................ 182

Adaptive Probability Crossover-4..................................................... 185

Schema-Based Crossover .............................................................. 188

4. Real coded operators............................................................. 190

Linear Crossover........................................................................... 190

Heuristic Crossover2..................................................................... 192

Simple Crossover.......................................................................... 194

Single Arithmetical Crossover.......................................................... 196

Arithmetical Crossover, Intermediate Crossover2, Linear Crossover,

Guaranteed Average Crossover, Convex Crossover.............................. 198

Injection Crossover....................................................................... 200

Adaptive Probability Crossover-1..................................................... 203

Linear BGA Crossover ................................................................... 206

Simplex Crossover........................................................................ 208

Simulated Binary Crossover ........................................................... 211

Fuzzy Crossover .......................................................................... 213

Fuzzy Connectives Based Crossover ................................................ 215

Crossover Hillclimbing.................................................................... 218

Random Crossover........................................................................ 220

Variable Length Segments Crossover............................................... 222

Unfair Average Crossover .............................................................. 225

Continuous Uniform Crossover ........................................................ 227

Geometrical Crossover .................................................................. 229

Sphere Crossover ......................................................................... 231

Differential Evolution Crossover........................................................ 233

Simplex Crossover-2 ..................................................................... 235

Multiple Crossover Per Couple.......................................................... 237

Gene-Pooling Crossover-1............................................................... 239

Center of Mass Crossover............................................................... 241

Multi-parent Feature-wise Crossover ............................................... 243

Partially Separable Crossover.......................................................... 245

Seed Crossover ........................................................................... 247

Non-convex Linear Combination of Multiple Parents............................. 249

Direction-Based Crossover ............................................................. 251

Derivative-Based Crossover ........................................................... 253

Rank Based Crossover ................................................................... 255

Parabolic Crossover ...................................................................... 257

Guided Crossover ......................................................................... 259

Multiple Crossover on Multiple Parents .............................................. 261

Simplex Crossover-3 ..................................................................... 263

Uniform Design Crossover .............................................................. 266

Center of Gravity Crossover ........................................................... 268

1-point Average Crossover ............................................................ 270

Messy Average Crossover .............................................................. 272

Adaptive Probability Crossover-5...................................................... 274

Site-Specific Crossover.................................................................. 276

BLX Principal Component Analysis and Independent Component Analysis.. 280

Orthogonal Crossover with Quantization ........................................... 282

Gaussian Uniform Crossover............................................................ 284

Set-Oriented Crossover.................................................................. 286

Adaptive Probability Crossover-6...................................................... 288

Adaptive Probability Crossover-7...................................................... 291

Position Crossover ........................................................................ 294

Best-Best Crossover...................................................................... 296

Adaptive Q-rand Point Crossover..................................................... 298

Q-rand Point Crossover ................................................................. 300

Multiple Crossover ........................................................................ 303

Improved Arithmetical Crossover..................................................... 306

Reciprocal Translocation Operator ................................................... 308

Hybrid Arithmetical Crossover.......................................................... 314

Generation of Multiple Descendants and Selection of the Two Best......... 316

Adaptive Neighborhood-based Multi-parent Crossover ......................... 318

Imperfect Crossover...................................................................... 320

Adaptive Probability Crossover-8..................................................... 323

Multiple Crossover Operators-2 ....................................................... 326

Heuristic-Based Self-Adapting Crossover .......................................... 329

Mixed Variable Crossover ............................................................... 333

Curved Cylinder Crossover ............................................................. 338

Exchanging Information Crossover ................................................... 340

Real-Biased Crossover.................................................................... 342

Taguchi Crossover (Main Effect Orthogonal Crossover) ....................... 344

Interaction Effect Orthogonal Crossover ........................................... 347

Diverse Crossover......................................................................... 351

Taguchi Crossover-2..................................................................... 355

Extended GA Crossover ................................................................. 358

Single Gene Crossover................................................................... 360

Fitness Weighted Crossover (Real) .................................................. 362

Inheritance Crossover ................................................................... 364

Adaptive Probability of Gene Crossover ............................................ 366

Adaptive Probability Crossover-2...................................................... 368

Normalized Fitness Crossover ......................................................... 370

Controlled Content Crossover.......................................................... 372

Center of Mass Crossover-2 ........................................................... 375

Parent Differentiation Crossover ...................................................... 377

Improved Crossover and Mutation ................................................... 379

Adaptive Probability Crossover-3...................................................... 381

King Strategy Crossover................................................................. 384

Gene-Pooling Crossover-2............................................................... 386

Fitness Guided Crossover ............................................................... 388

Continuous Adaptive Culture Model Crossover ................................... 390

Fitness-Based Parabolic Crossover................................................... 392

Hybrid Panmictic (multi-parent) Crossover......................................... 394

5. Statistic-based operators........................................................ 396

Unimodal Normal Distribution Crossover.............................................. 396

Factorized Distribution Method........................................................ 397

Parent-Centric Crossover............................................................... 397

Marginal Histogram-Based Method ................................................... 397

Extrapolation Directed Crossover...................................................... 398

Trimodal Distribution Crossover ....................................................... 398

Confidence Interval Based Crossover................................................ 398

Quantum Probability Representation-Based Method.............................. 399

Latent Variable Crossover .............................................................. 399