This paper describes so-called random search techniques : simple, adaptive, and reinforced learning. Concerning these techniques, the studies carried out at the Research and Advanced Studies Center (Mexico), for optimal operation of biological plants, are reported. Subsequent results concerning mathematical and computational aspects- that have been under development at INTEC since 1979 - are presented. The method can be applied to complex industrial control problems for which there is no model of the process.
Bourdaud, D. and Foulard, C.1973. 'Identification and optimisation of batch culture fermentation processes', IPN Technical Report, Grenoble, France.
3.
Brooks, S.1958. 'A discussion of random methods for seeking maxima', Oper Res, 2 (6), 244-251.
4.
Brooks, S.1959. 'A comparison of maximum-seeking methods', OperRes, 4 (7),430-457.
5.
Calvillo, L.1972. 'Commande dynamique cuasi-optimale obtenu par apprendissage d'une colonne de distillation pilote', Dissertation for Doctoral Degree, Grenoble University, Grenoble, France.
6.
Gall, D.A.1966. 'A practical multifactor optimisation criterion'. In Recent advances in optimisation techniques, A. Lavi and T. P. Vogl, eds, Wiley and Sons, New York.
7.
Goulcher, R. and Long, J.J.C.1976. 'The solution of steady-state chemical engineering optimisation problems using random-search algorithm', Comput Chem (GB) , 2 (1), 33-36.
8.
Heuckroth, M.W.1976. 'An examination of the adaptive random search technique' , AIChE J, 22 (4), 744-750.
9.
Himmelblau, D.M.1963. 'Process optimisation by search techniques', I & EC Process Des Dev, 2, 296-300.
Morales, J.E.1973. 'Multivariable optimisation by means of adaptive random sequences', CIEA—IPN, thesis for Master degree, Mexico.
12.
Morales, J.E.1974. 'Optimisation of biological processes by means of random methods with reinforced learning', CIEA-IPN, dissertation for Doctoral degree, Mexico.
13.
Morales, J.E.1978. 'Optimisation without model, development and applications of random methods', AADECA, IFAC Meeting, Argentina.
14.
Nakamura, K. and Oda, M.1967. 'Fundamental principle and behaviour of Learntrols', Comput InfSci, 2, 207-233.
15.
Yamashita, S.1970. 'Fermentation process control including DDC', Central Research Laboratories, Ajimoto Co Inc.
