Near-optimal solution
A near-optimal solution is a feasible solution whose objective value is close to the best possible value without necessarily being optimal.
Classic Computer Science Problems in Swift: Essential techniques for practicing programmers
A near-optimal solution is a feasible solution whose objective value is close to the best possible value without necessarily being optimal.
- How it is used
- Frames approximation as a practical response to factorial search in large traveling-salesman problems.
- How deep it goes
- Defines bounded closeness and names techniques, but stops short of explaining their approximation procedures or guarantees.
- Examples
- Uses Vermont city distances, exhaustive tours, and a 318-mile shortest route to motivate approximation.
- What you can do after
- Evaluate approximation as a practical alternative when exhaustive traveling-salesman search becomes infeasible.
Advanced Algorithms and Data Structures
A near-optimal solution is a feasible solution whose objective value is close to the best possible value without necessarily being optimal.
- How it is used
- Uses approximation to trade a small objective gap for reasonable runtime in optimization problems.
- How deep it goes
- Contrasts exact and approximate results, method suitability, convergence limits, and candidate-cost requirements without deriving algorithm internals.
- Examples
- Uses travelling-salesman routes, mileage differences, approximation guarantees, and safety-critical surgery simulations.
- What you can do after
- Evaluate whether heuristic optimization is appropriate when exact optimality is unnecessary and runtime matters.
Read how Advanced Algorithms and Data Structures explains near-optimal solution →
Related concepts
- optimizationproduced by · Optimization is the systematic selection or adjustment of values, actions, or system designs to improve a specified objective, often subject to constraints.
- simulated annealingproduced by · Simulated annealing is a stochastic optimization method that gradually reduces the probability of accepting worse solutions to escape local optima.
- heuristicproduced by · A heuristic is a practical rule or approximate method for guiding judgment, search, or problem solving without guaranteeing an exact or optimal result.
- optimal solutioncontrasts with · An optimal solution is a feasible solution that achieves the best objective value among the alternatives considered.
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