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We consider models based on conservation laws. For the optimization of such systems, a sensitivity analysis is essential to determine how changes in the decision variables influence the objective function. Here we study the sensitivity with respect to the initial data of objective functions that depend upon the solution of Riemann problems with piecewise linear flux functions. We present representations for the one–sided directional derivatives of the objective functions. The results can be used...
We consider models based on conservation laws. For the optimization
of such systems, a sensitivity analysis is essential to determine
how changes in the decision variables influence the objective
function. Here we study the sensitivity with respect to the initial
data of objective functions that depend upon the solution of Riemann
problems with piecewise linear flux functions. We present
representations for the one–sided directional derivatives of the
objective functions. The results can be used...
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