Abstract
In this paper, we study the problem of optimally tuning the robustness of product development processes with respect to disturbances. We first model a product development process subject to disturbances by a linear system having an additive disturbance term. We then introduce a quantity for measuring the effect of the disturbance on the product development process as the l1-gain of the linear dynamical system. We finally show that the problem of minimizing the l1-gain subject to a budget constraint reduces to a geometric program, which can be efficiently converted to a convex optimization problem. We provide an illustrative example to illustrate the obtained theoretical results.
