PBSA Sample Clauses

PBSA. A second simulated annealing-based algorithm, population-based simulated annealing (PBSA), is actually an extension of the TTSA algorithm. Xxx Xxxxxxxxxx and Vergados (2007) extended the TTSA method and found new best solutions for NL12, NL14 and NL16 and other large-scale instances. The simulated annealing approach is used because of its great capabilities in micro-intensification and -diversification of schedules. To improve this algorithm, macro-intensification and -diversification should be added. This is typically found in population-based and xxxx search algorithms. Therefore, TTSA is used as a basis and some components are added to create the population-based simulated annealing algorithm. Basically, the core of the algorithm is organised as a series of waves. The first wave consists of x times (e.g. 25 times) the same initial schedule on which a simulated annealing run is performed. This will result in x new best schedules. From those x new best schedules, the best y (y x) (e.g. 5) are called the elite runs and will be kept for the next wave. The other x y (e.g. 25 5 = 20) will start from the schedule with the current best objective function value. This procedure repeats itself with each wave having its own set of starting schedules and temperature. The core of the algorithm terminates when a certain number of waves does not adapt the best schedule. This core procedure will be restarted on a lower temperature until a new schedule is found. The algorithm is stopped when no new best schedule is found for a certain amount of core procedures. Xxx Xxxxxxxxxx and Vergados have also investigated the effect of this macro-diversification (adding the population-based layer). They concluded among other things that an increasing number of elite runs will improve the solutions but will also increase the time consumed to run the algorithm.
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