Application of the method of multipliers to the optimization of chemical processes

Application of a multi objective multi-leader particle swarm optimization algorithm on NLP and MINLP problems

“…Appendix A provides more detailed information on this process. The reader is referred to the work by on DiBella and Stevens (1965) and Vinante and Valladares (1985) for complete development of the optimization problem.…”

“…The range of objective function and sum of square constraint violation ( h 2 ) obtained for 100 implementations with the same swarm size and maximum iteration number, respectively are DiBella and Stevens (1965) and Vinante and Valladares (1985), presented in Table 9. The range of infeasibility for 100 solutions obtained by MLMOPSO shows that the solutions obtained by MLMOPSO are much more feasible than the reported solutions.…”

“…Problem 14. William Otto process: The William Otto process was formulated in this work based on the work by Vinante and Valladares (1985). The objective function in this process is return on investment (ROI%) of the process to be maximized.…”

“…The proposed algorithm (MLMOPSO) is applied on 11 problems where most of them are process synthesis problems obtained from Kocis and Grossmann (1988), Kocis and Grossmann (1987), Ryoo and Sahinidis (1995), and Vinante and Valladares (1985) to investigate its performance on mixed integer and constrained optimization problems. Problems 4 and 5 are used for evaluating the performance of the algorithm and comparing its result with the results obtained by other researchers using deterministic methods.…”

“…The application of the proposed algorithm over a variety of test problems reported by researchers in the field of chemical engineers such as Babu and Angira (2002), Kocis and Grossmann (1988), Kocis and Grossmann (1987), Ryoo and Sahinidis (1995), Vinante and Valladares (1985) and Yiqing et al (2007) shows a superior performance in locating the global optima and inefficiency.…”