A generalized framework for solving dynamic optimization problems using the artificial chemical process paradigm: Applications to particulate processes and discrete dynamic systems

Comments on “Optimal Use of Mixed Catalysts for Two Successive Chemical Reactions”

“…To verify the derived results, the problem with kinetic constants k 1 = k 3 = 1 and k 2 = 10, which were assumed by Gunn and Thomas [2], and also used in [3][4][5][6][7][8][9][10][11][12][13], is solved numerically under different tolerances using the time-scaling method [13], since it can optimize both the control parameters and the switching times effectively. The time-scaling method was proposed by Teo et al [16].…”

Fast Monte Carlo methodology for multivariate particulate systems—I: Point ensemble Monte Carlo

“…The computational cost may become an issue in some applications. One example is the solution of optimization and dynamic optimization of systems modeled by MC methods (Irizarry, 2005(Irizarry, , 2006. Another example where computational cost may be a limiting factor is when the transport due to the flow field is incorporated in the PBE model.…”

Parallel high‐resolution finite volume simulation of particulate processes

“…Typically such simulations require on the order of a day. Further, there is interest in incorporating PBEs for complex particulate processes within optimization algorithms to enable the design and control of particle size, [23][24][25] in which case it would be desired to simulate a PBE within seconds to minutes. This motivates the development of numerical algorithms for solving PBEs with orders-of-magnitude speedup.…”