Figure 5. Scalability and sensitivity of the running time of the MINLP approach on different inputs.

A comparison of the running time (seconds) of the MINLP approach on different input sizes and different data input distribution for the steady state cascade design problem (5 synthetic datasets per case). Parameter values are generated by sampling within the parameter range that has been experimentally measured [26]–[27]. Samples are distributed either uniformly (uniform sampling), following a gamma distribution with the mean set on the optimal set parameter values (Gamma 1 sampling), or away from that mean (Gamma 2 sampling). The running time of exhaustive search method (ES) is estimated for the last library size.