“…On the other hand, Miele's technique was utilized to solve an optimization problem with multiple objective functions (Hasegawa et al, 1987;Matsubara et al, 1985). Recently, an evolutionary algorithm, that is a genetic algorithm, with several constraints has frequently been used for rapid calculation of the optimization problem (Ronen et al, 2002;Roubos et al, 1999;Sarkar and Modak, 2003). While there have been many studies of approaches to the optimization problem in fed-batch fermentation, few have dealt with the issue in relation to repeated fedbatch fermentation (Ito et al, 1991;Modak and Lim, 1992;Weigand, 1981).…”