Combination problem solving apparatus

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395 50, 395 51, G06F 1516, G06F 1531

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active

052673464

ABSTRACT:
A computer based combination problem processor solves constrained combination satisfaction problems for determining discrete values of respective variables in which the constraint is externally specified by a set of inequalities and equalities, and solves combination optimization problems for determining the discrete values of respective variables to minimize or maximize the value of a given objective function. The computer includes an initial constraint violating inequality creator for creating constraint violating inequalities reciprocal to the set of inequalities; a variable value changer for changing a variable value for examination of meeting constraints; a variable selector for selecting a value of a variable whose value is unknown; a constraint violating condition creator for creating a new constraint violating condition obtained as a logical product of simplified inequalities by digitizing a variable appearing in the constraint violating conditions created from the constraint violating inequalities, when none of the values satisfy the constraints produced by the processes by the variable value changer or the variable value selector. A constraint violating condition storer stores constraint violating conditions created by the constraint violating condition creator. A variable value is changed or selected such that none of the constraint violating conditions stored in the constraint violating condition storer are satisfied. The above obtained variable value combination satisfying none of the constraint violating conditions is the solution to the constrained combination satisfaction problem or the constrained combination optimization problem.

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