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Outer approximation algorithm for one class of convex mixed-integer nonlinear programming problems with partial differentiability. (English) Zbl 1327.90145
Summary: In this paper, we mainly study one convex mixed-integer nonlinear programming problem with partial differentiability and establish one outer approximation algorithm for solving this problem. With the help of subgradients, we use the outer approximation method to reformulate this convex problem as one equivalent mixed-integer linear program and construct an algorithm for finding optimal solutions. The result on finite steps convergence of the algorithm is also presented.

90C11 Mixed integer programming
90C25 Convex programming
90C30 Nonlinear programming
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