| 摘要 |
One embodiment of the present invention provides a system that solves a problem involving an interval parameter p through an interval solution process. During operation, the system receives a representation of the problem, wherein the problem includes a number of variables x1, x2, x3, . . . xn and at least one interval parameter p. The system stores the representation in a computer memory, and then performs the interval solution process on the problem. During this interval solution process, the system splits the problem into sub-problems by splitting the interval parameter p into subintervals, and creating separate sub-problems for each subinterval. The system then performs the interval solution process on the sub-problems. By splitting the interval parameter p, the system can achieve a tighter bound on the solution set of the problem. The decision to split on any parameter p is made in exactly the same way it would be made if p were a variable of the problem. Otherwise, parameters are kept separate from problem variables.
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