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This paper proposes a general fixture layout design framework that directlyintegrates the system equation with the convex relaxation method. Note that theoptimal fixture design problem is a large-scale combinatorial optimizationproblem, we relax it to a convex semidefinite programming (SDP) problem byadopting sparse learning and SDP relaxation techniques. It can be solvedefficiently by existing convex optimization algorithms and thus generates anear-optimal fixture layout. A real case study in the half-to-half fuselageassembly process indicates the superiority of our proposed algorithm comparedto the current industry practice and state-of-art methods.

Convex Relaxation for Optimal Fixture Layout Design