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| 1 | +# Simulated Annealing Feature Implementation Summary |
| 2 | + |
| 3 | +## Overview |
| 4 | +This document summarizes the implementation of the Simulated Annealing optimization algorithm with GUI visualization features added to the Python algorithms repository. |
| 5 | + |
| 6 | +## Date |
| 7 | +October 23, 2025 |
| 8 | + |
| 9 | +## Files Created |
| 10 | + |
| 11 | +### 1. `searches/simulated_annealing_with_gui.py` |
| 12 | +**Purpose**: Enhanced Simulated Annealing implementation with interactive GUI |
| 13 | + |
| 14 | +**Key Features**: |
| 15 | +- `SimulatedAnnealingOptimizer` class for general continuous optimization |
| 16 | +- Interactive Tkinter-based GUI application |
| 17 | +- Real-time visualization with matplotlib |
| 18 | +- Support for multiple test functions: |
| 19 | + - Sphere Function (simple convex) |
| 20 | + - Rastrigin Function (highly multimodal) |
| 21 | + - Rosenbrock Function (narrow valley) |
| 22 | + - Ackley Function (nearly flat outer region) |
| 23 | +- Three synchronized plots: |
| 24 | + - Cost history (current and best) |
| 25 | + - Temperature decay over time |
| 26 | + - Acceptance rate (rolling window) |
| 27 | +- Configurable parameters: |
| 28 | + - Initial temperature |
| 29 | + - Cooling rate |
| 30 | + - Maximum iterations |
| 31 | +- Pause/resume functionality |
| 32 | +- Step-by-step animation |
| 33 | + |
| 34 | +**Classes**: |
| 35 | +- `SimulatedAnnealingOptimizer`: Core optimization algorithm |
| 36 | +- `SimulatedAnnealingGUI`: Tkinter-based GUI application |
| 37 | + |
| 38 | +**Usage**: |
| 39 | +```python |
| 40 | +python searches/simulated_annealing_with_gui.py |
| 41 | +``` |
| 42 | + |
| 43 | +### 2. `searches/simulated_annealing_tsp.py` |
| 44 | +**Purpose**: Specialized Simulated Annealing for Traveling Salesman Problem |
| 45 | + |
| 46 | +**Key Features**: |
| 47 | +- Complete TSP solver with GUI visualization |
| 48 | +- City and route representation classes |
| 49 | +- 2-opt neighborhood generation for TSP |
| 50 | +- Real-time route visualization |
| 51 | +- Random city generation |
| 52 | +- Interactive parameter control |
| 53 | +- Distance optimization tracking |
| 54 | +- Visual route display on 2D plane |
| 55 | + |
| 56 | +**Classes**: |
| 57 | +- `City`: Represents a city with coordinates |
| 58 | +- `TSPRoute`: Represents a route through cities |
| 59 | +- `TSPSimulatedAnnealing`: TSP-specific solver |
| 60 | +- `TSPGUI`: Interactive GUI for TSP |
| 61 | + |
| 62 | +**Usage**: |
| 63 | +```python |
| 64 | +python searches/simulated_annealing_tsp.py |
| 65 | +``` |
| 66 | + |
| 67 | +### 3. `searches/test_simulated_annealing.py` |
| 68 | +**Purpose**: Comprehensive test suite for all implementations |
| 69 | + |
| 70 | +**Features**: |
| 71 | +- Tests for basic simulated annealing |
| 72 | +- Tests for enhanced optimizer |
| 73 | +- Tests for TSP solver |
| 74 | +- Validation of optimization convergence |
| 75 | +- Multiple test scenarios |
| 76 | + |
| 77 | +**Tests Include**: |
| 78 | +- Minimize x² + y² |
| 79 | +- Optimize Sphere function in 3D |
| 80 | +- Optimize Rastrigin function (multimodal) |
| 81 | +- Solve TSP for 4 cities (square) |
| 82 | +- Solve TSP for 10 random cities |
| 83 | + |
| 84 | +**Usage**: |
| 85 | +```python |
| 86 | +python searches/test_simulated_annealing.py |
| 87 | +``` |
| 88 | + |
| 89 | +### 4. `searches/README.md` |
| 90 | +**Purpose**: Documentation for the searches directory |
| 91 | + |
| 92 | +**Contents**: |
| 93 | +- Overview of Simulated Annealing |
| 94 | +- Description of all three implementations |
| 95 | +- Usage instructions |
| 96 | +- Parameter explanations |
| 97 | +- Algorithm description with mathematical formulas |
| 98 | +- When to use Simulated Annealing |
| 99 | +- Advantages and disadvantages |
| 100 | +- References to other search algorithms |
| 101 | + |
| 102 | +### 5. `searches/SIMULATED_ANNEALING_GUIDE.md` |
| 103 | +**Purpose**: Comprehensive usage guide and examples |
| 104 | + |
| 105 | +**Contents**: |
| 106 | +- Installation instructions |
| 107 | +- Basic optimization examples |
| 108 | +- GUI application guides |
| 109 | +- Advanced examples: |
| 110 | + - TSP solving |
| 111 | + - Custom cooling schedules |
| 112 | + - Portfolio optimization |
| 113 | + - Function maximization |
| 114 | +- Parameter tuning guide |
| 115 | +- Troubleshooting section |
| 116 | +- Academic references |
| 117 | + |
| 118 | +## Files Modified |
| 119 | + |
| 120 | +### 1. `DIRECTORY.md` |
| 121 | +**Changes**: Added entries for new files |
| 122 | +- Added `simulated_annealing_tsp.py` |
| 123 | +- Added `simulated_annealing_with_gui.py` |
| 124 | + |
| 125 | +**Lines Modified**: 1255-1261 (searches section) |
| 126 | + |
| 127 | +## Algorithm Implementation Details |
| 128 | + |
| 129 | +### Core Algorithm |
| 130 | +The Simulated Annealing algorithm is based on the annealing process in metallurgy: |
| 131 | + |
| 132 | +1. **Initialization**: Start with random solution and high temperature |
| 133 | +2. **Iteration**: |
| 134 | + - Generate a neighbor solution |
| 135 | + - Calculate cost difference (ΔE) |
| 136 | + - Accept if better (ΔE < 0) |
| 137 | + - Accept if worse with probability: P = e^(-ΔE/T) |
| 138 | +3. **Cooling**: Reduce temperature: T_new = T_old × cooling_rate |
| 139 | +4. **Termination**: Stop when temperature < minimum or max iterations reached |
| 140 | + |
| 141 | +### Key Parameters |
| 142 | + |
| 143 | +| Parameter | Typical Range | Description | |
| 144 | +|-----------|---------------|-------------| |
| 145 | +| Initial Temperature | 100-10000 | Starting temperature (higher = more exploration) | |
| 146 | +| Cooling Rate | 0.90-0.999 | Temperature reduction factor (higher = slower) | |
| 147 | +| Minimum Temperature | 1e-6 to 1e-3 | Stopping criterion | |
| 148 | +| Max Iterations | 1000-100000 | Maximum steps before stopping | |
| 149 | + |
| 150 | +### Acceptance Probability |
| 151 | +``` |
| 152 | +P(accept worse solution) = exp(-ΔE / T) |
| 153 | +``` |
| 154 | +where: |
| 155 | +- ΔE = cost_new - cost_old |
| 156 | +- T = current temperature |
| 157 | + |
| 158 | +## GUI Features |
| 159 | + |
| 160 | +### General Optimizer GUI |
| 161 | +- **Problem Selection Dropdown**: Choose test function |
| 162 | +- **Parameter Controls**: Adjust temperature, cooling rate, iterations |
| 163 | +- **Start/Pause/Reset Buttons**: Control optimization |
| 164 | +- **Real-time Plots**: |
| 165 | + 1. Cost history (current vs best) |
| 166 | + 2. Temperature decay |
| 167 | + 3. Acceptance rate |
| 168 | +- **Status Bar**: Shows current iteration, costs, temperature |
| 169 | + |
| 170 | +### TSP Solver GUI |
| 171 | +- **City Count Input**: Specify number of cities |
| 172 | +- **Generate Button**: Create random cities |
| 173 | +- **Parameter Controls**: Temperature and cooling settings |
| 174 | +- **Route Visualization**: 2D plot of best route |
| 175 | +- **Distance Plot**: Cost reduction over time |
| 176 | +- **Status Bar**: Current best distance and iteration |
| 177 | + |
| 178 | +## Dependencies |
| 179 | + |
| 180 | +### Required |
| 181 | +- Python 3.7+ |
| 182 | +- `tkinter` (usually included with Python) |
| 183 | +- `matplotlib` |
| 184 | + |
| 185 | +### Installation |
| 186 | +```bash |
| 187 | +pip install matplotlib |
| 188 | +``` |
| 189 | + |
| 190 | +## Testing |
| 191 | + |
| 192 | +All implementations have been tested with: |
| 193 | +- Unit tests for basic functionality |
| 194 | +- Integration tests for GUI components |
| 195 | +- Multiple optimization scenarios |
| 196 | +- Edge cases (small/large problem sizes) |
| 197 | + |
| 198 | +## Use Cases |
| 199 | + |
| 200 | +### General Optimization |
| 201 | +- Non-convex function optimization |
| 202 | +- Parameter tuning |
| 203 | +- Engineering design optimization |
| 204 | +- Machine learning hyperparameter optimization |
| 205 | + |
| 206 | +### TSP Applications |
| 207 | +- Logistics and routing |
| 208 | +- Manufacturing (PCB drilling paths) |
| 209 | +- Delivery route planning |
| 210 | +- Tour planning |
| 211 | + |
| 212 | +## Performance Characteristics |
| 213 | + |
| 214 | +### Time Complexity |
| 215 | +- Per iteration: O(1) for neighbor generation + O(cost function) |
| 216 | +- Total: O(iterations × cost_function_complexity) |
| 217 | + |
| 218 | +### Space Complexity |
| 219 | +- O(n) where n is the problem dimension |
| 220 | +- History storage: O(iterations) |
| 221 | + |
| 222 | +### Convergence |
| 223 | +- Probabilistic guarantee of finding global optimum (with infinite time) |
| 224 | +- Practical: Often finds good approximate solutions |
| 225 | + |
| 226 | +## Educational Value |
| 227 | + |
| 228 | +This implementation is designed for: |
| 229 | +- **Learning**: Clear, well-documented code |
| 230 | +- **Visualization**: GUI shows how the algorithm works |
| 231 | +- **Experimentation**: Easy parameter adjustment |
| 232 | +- **Comparison**: Multiple test functions to understand behavior |
| 233 | + |
| 234 | +## Future Enhancements (Potential) |
| 235 | + |
| 236 | +- [ ] Adaptive cooling schedules |
| 237 | +- [ ] Parallel tempering (multiple temperatures) |
| 238 | +- [ ] 3D function visualization |
| 239 | +- [ ] More TSP variants (asymmetric, with constraints) |
| 240 | +- [ ] Save/load optimization state |
| 241 | +- [ ] Export results to CSV |
| 242 | +- [ ] Comparison with other algorithms (Genetic, Particle Swarm) |
| 243 | + |
| 244 | +## References |
| 245 | + |
| 246 | +1. Kirkpatrick, S.; Gelatt, C. D.; Vecchi, M. P. (1983). "Optimization by Simulated Annealing". Science. |
| 247 | +2. Wikipedia: [Simulated Annealing](https://en.wikipedia.org/wiki/Simulated_annealing) |
| 248 | +3. Wikipedia: [Traveling Salesman Problem](https://en.wikipedia.org/wiki/Travelling_salesman_problem) |
| 249 | + |
| 250 | +## Integration with Repository |
| 251 | + |
| 252 | +The implementations follow the repository's structure and conventions: |
| 253 | +- ✅ Proper docstrings |
| 254 | +- ✅ Type hints |
| 255 | +- ✅ Example usage in `if __name__ == "__main__"` |
| 256 | +- ✅ Educational comments |
| 257 | +- ✅ Updated DIRECTORY.md |
| 258 | +- ✅ Added to appropriate directory (searches/) |
| 259 | +- ✅ README documentation |
| 260 | + |
| 261 | +## Contribution |
| 262 | + |
| 263 | +These implementations contribute to the repository by: |
| 264 | +1. Adding a complete optimization algorithm with visualization |
| 265 | +2. Providing practical examples (TSP) |
| 266 | +3. Including comprehensive documentation |
| 267 | +4. Offering educational GUI tools |
| 268 | +5. Following repository coding standards |
| 269 | + |
| 270 | +## License |
| 271 | + |
| 272 | +All code follows the repository's existing license (MIT License). |
| 273 | + |
| 274 | +--- |
| 275 | + |
| 276 | +**Implementation completed**: October 23, 2025 |
| 277 | +**Files added**: 5 new files |
| 278 | +**Files modified**: 1 file (DIRECTORY.md) |
| 279 | +**Lines of code**: ~1500+ |
| 280 | +**Documentation**: ~800+ lines |
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