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== Introduction to Temperature Scheduling ==

== Introduction to Temperature Scheduling ==

<font; color="red"> Add description featured in D. Mitra et al about crystal growing annealing </font>

<font; color="red"> Add description featured in D. Mitra et al about crystal growing annealing </font>

Temperature scheduling in simulated annealing refers to the process of controlling the ''temperature'' in a particular run through either geometric or adaptive means.  The effect that temperature has on an annealing run is that it determines the probability that a solution with a higher cost function value will be accepted over one with a lower value, which is known as ''hill climbing''.  There are two main stages of temperature scheduling(warming up and cooling down), which are punctuated by two stopping conditions (equilibrium and frozen criterion respectively).  The warming up stage represents a period during simulated annealing in which the temperature is raised to a high enough point that the probability of the acceptance of a neighboring solution is nearly one.  Such a high probability of acceptance ensures that the final solution does not depend on the initial starting point.  The warming period usually occurs for a predefined number of ''steps'' (known as a chain length).  When the predefined number of steps have occurred, the annealing run has reached the equilibrium point, which simply is the term used to define the point at which warming has ended and cooling will begin.  Continuing the analogy to classical annealing, the

Temperature scheduling in simulated annealing refers to the process of controlling the ''temperature'' in a particular run through either geometric or adaptive means.  The effect that temperature has on an annealing run is that it determines the probability that a solution with a higher cost function value will be accepted over one with a lower value, which is known as ''hill climbing''.  There are two main stages of temperature scheduling(warming up and cooling down), which are punctuated by two stopping conditions (equilibrium and frozen criterion respectively).  The warming up stage represents a period during simulated annealing in which the temperature is raised to a high enough point that the probability of the acceptance of a neighboring solution is nearly one.  Such a high probability of acceptance ensures that the final solution does not depend on the initial starting point.  The warming period usually occurs for a predefined number of ''steps'' (known as a chain length).  When the predefined number of steps have occurred, the annealing run has reached the equilibrium point, which simply is the term used to define the point at which warming has ended and cooling will begin.  Continuing the analogy to classical annealing, the cooling stage of the annealing run, corresponds to the period during which the temperature is cooled down

==ParSA Scheduling Capabilities==

==ParSA Scheduling Capabilities==