A theoretical criterion is offered for the design of a temperature schedule for simulated annealing. It is based on a measure of distance in probability space. Implementation requires a knowledge of the heat capacity and the relaxation time. A method of calculating these quantities for a combinatorial problem is outlined. The theoretical structure involved seems to point to an information-theoretic measure of computational effort in certain probabilistic algorithms.
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Nulton et al. (1988) studied this question.
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