Non-linear optimal control of manufacturing system based on modified differential evolution

This study considers the non-linear optimal control of the complex manufacturing system. We construct a mathematical model, which decomposes the complex manufacturing system into many correlated working centers, where the number of inventory and production evolves dynamically. It aims to minimize the cost of production control. We can utilize MDE algorithm to solve this model. The model can be easily used in multi-product, multi-center, multi-period manufacturing system.

[1]  Lou Caccetta,et al.  A positive linear discrete-time model of capacity planning and its controllability properties , 2004, Math. Comput. Model..

[2]  Nobuto Nakamura,et al.  Optimal production planning for a multiproduct, multistage production system , 1976 .

[3]  H. Gfrerer,et al.  Hierarchical model for production planning in the case of uncertain demand , 1995 .

[4]  Cliff T. Ragsdale,et al.  Modified differential evolution: a greedy random strategy for genetic recombination , 2005 .

[5]  C. Coello,et al.  Cultured differential evolution for constrained optimization , 2006 .

[6]  C. Hwang,et al.  Optimum Production Planning by the Maximum Principle , 1967 .

[7]  B. V. Babu,et al.  Modified differential evolution (MDE) for optimization of non-linear chemical processes , 2006, Comput. Chem. Eng..

[8]  L. V. Wassenhove,et al.  Multilevel capacitated lotsizing complexity and LP-based heuristics , 1991 .

[9]  Xiao-Dong Zhang,et al.  Karmarkar's and interaction/prediction algorithms for hierarchical production planning for the highest business benefit , 2002, Comput. Ind..

[10]  Min Jiang,et al.  Hierarchical production planning with demand constraints , 2004, Comput. Ind. Eng..

[11]  Yu Huanjun DIFFERENTIAL EVOLUTION ALGORITHM BASED ON EUGENIC STRATEGY AND ITS APPLICATION TO CHEMICAL ENGINEERING , 2004 .

[12]  Wei Fa-jie Model and Algorithm of Activity-based Capacity Expansion , 2004 .

[13]  Tadashi Dohi,et al.  Optimal production planning under diffusion demand pattern , 1995 .

[14]  Gang Xu,et al.  Aggregate scheduling and network solving of multi-stage and multi-item manufacturing systems , 1998, Eur. J. Oper. Res..

[15]  L. G. van Willigenburg,et al.  Efficient Differential Evolution algorithms for multimodal optimal control problems , 2003, Appl. Soft Comput..

[16]  W.M.P. van der Aalst,et al.  On the automatic generation of workflow processes based on product structures , 1999 .

[17]  B. Kinghorn,et al.  Differential evolution - an easy and efficient evolutionary algorithm for model optimisation , 2005 .

[18]  O. S. Silva Fo,et al.  Optimal feedback control scheme helping managers to adjust aggregate industrial resources , 1997 .

[19]  Zhong Yuexian Camera calibration based on improved differential evolution algorithm , 2004 .