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Design for six sigma (DFSS) with sigma based robust design will have a major influence on the future design, if it is applied during the conceptual design phase or design change phase. DFSS will result in more improved but less expensive quality products. This paper presents the implementation of DFSS for robust design of a brake judder of heavy-duty trucks. The problem of brake judder is typically caused by quality defects in manufacturing. However this quality problem can't be controlled deterministically and requires a design considering the uncertainty. In this paper sigma based robust design methodology is applied to improve the brake judder quality problem at the last step of DFSS. Results between conventional deterministic optimization and the proposed sigma based robust design are compared. The robust design by DFSS shows that the manufacturing cost may increase as the quality level increase.