Adaptive beam search solution procedures for constrained circular cutting problems.

In this paper, we study the constrained circular cutting problem whose objective is to cut a set of circular pieces into a rectangular plate R of dimensions L × W. Each piece's type i, i = 1, …, m is caracterized by its radius r(i) and its demand b(i). This problem is solved using an adaptive algorithm that combines beam search and various Hill-Climbing strategies. Decisions at each node of the truncated tree are based on the so-called best local position. The computational results show, on a set of problem instances of the literature, the effectiveness of the proposed algorithm.