Abstract
We consider the problem of determining the interval hull solution l ∗ to a parametric linear programming (PLP) problem l(x, p) = c T (p)x, where c i (p) can be in general nonlinear functions of p, and x satisfy the constraint A(p)x = b(p), p ∈ p. A new iterative method for determining l ∗ is suggested. The method exploits the concept of the p-solution to a square linear interval parametric (LIP) system, having the parametric form x(p) = L p + a, p ∈ p, where L is a real n × m matrix (n and m are, respectively, the sizes of the square matrix A and vector p), whereas a is an interval vector. A numerical example is provided to illustrate the new approach.
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