IEEE Transactions on Power Systems · 1996 · 325 citations · 16 references
Mathematical ProgrammingSimulated Annealing ApproachSimulated Annealing ProcessEngineeringSimulated AnnealingIntelligent OptimizationSimulated Annealing MethodNetwork PlanningCombinatorial ProblemSystems EngineeringTransmission SystemCombinatorial OptimizationDiscrete OptimizationOperations Research
This paper presents a simulated annealing approach to the long term transmission expansion planning problem which is a hard, large scale combinatorial problem. The proposed approach has been compared with a more conventional optimization technique based on mathematical decomposition with a zero-one implicit enumeration procedure. Tests have been performed on three different systems. Two smaller systems for which optimal solutions are known have been used to tune the main parameters of the simulated annealing process. The simulated annealing method has then been applied to a larger example system for which no optimal solutions are known: as a result an entire family of interesting solutions have been obtained with costs about 7% less than the best solutions known for that particular example system.
16
Optimization by Simulated Annealing
Scott Kirkpatrick, C. D. Gelatt, M.P. Vecchi · Science · 1983 · 44K citations
Numerical Analysis, Large-scale Global Optimization, Computational Science +15
Cooling Schedules for Optimal Annealing
Bruce Hajek · Mathematics of Operations Research · 1988 · 1.2K citations