Hopfield’s Artificial Neural Networks In Multiobjective Optimization Problems of Resource Allocations Control

Some robots cooperating each other to perform connected operations can be considered as a system. This system should be controlled to take advantages of different robots assigning to several operations. Indeed, a control of robot-operation allocations as a sequence of many static optimization task of resource allocations with different input parameters can be formulated. If some robot control problems are transformed to this resource allocation problem, then it is possible to use the proposed below methods. In this paper, analog Hopfield’s artificial neural networks are used by genetic algorithms for solving NP-hard binary multiobjective optimization problems, which can be considered in modeling of resource allocations control. This problem can be solved for improving the efficiency of a few connected robots dining their activities. Moreover, another neural approach for dynamic optimal control is elaborated. Finally, an example of two-layer feed-forward network in the adaptive control system of the underwater vehicle motion is submitted.

[1]  John J. Hopfield,et al.  Simple 'neural' optimization networks: An A/D converter, signal decision circuit, and a linear programming circuit , 1986 .

[2]  Mahesan Niranjan,et al.  A theoretical investigation into the performance of the Hopfield model , 1990, IEEE Trans. Neural Networks.

[3]  A. Cichocki,et al.  Neural networks for solving systems of linear equations and related problems , 1992 .

[4]  Keith W. Hipel,et al.  Multiple participant-multiple criteria decision making , 1993, IEEE Trans. Syst. Man Cybern..

[5]  J. Garus,et al.  A Structure and Principle of Operation of the Adaptive Control System of the Underwater Vehicle Motion , 1995 .

[6]  Shengwei Zhang,et al.  Lagrange programming neural networks , 1992 .

[7]  C. Charalambous,et al.  A new approach to multicriterion optimization problem and its application to the design of 1-D digital filters , 1989 .

[8]  George F. List,et al.  A multiobjective optimization approach to quality control with application to plastic injection molding , 1993, IEEE Trans. Syst. Man Cybern..

[10]  Paulo A. V. Ferreira,et al.  System Modelling and Optimization under Vector-Valued Criteria , 1992, 1992 American Control Conference.

[11]  Stefen Hui,et al.  Neural networks for constrained optimization problems , 1993, Int. J. Circuit Theory Appl..

[12]  K. Tarvainen,et al.  Generating pareto-optimal alternatives by a nonfeasible hierarchical method , 1994 .

[13]  Gene A. Tagliarini,et al.  Optimization Using Neural Networks , 1991, IEEE Trans. Computers.