Artificial Immune Network Approach with Beta Differential Operator Applied to Optimization of Heat Exchangers

The artificial immune systems combine these strengths have been gaining significant attention due to its powerful adaptive learning and memory capabilities. A meta-heuristic approach called opt-aiNET (artificial immune network for optimization) algorithm, a well-known immune inspired algorithm for function optimization, is adopted in this paper. The opt-aiNET algorithm evolves a population, which consists of a network of antibodies (considered as candidate solutions to the function being optimized). These undergo a process of evaluation against the objective function, clonal expansion, mutation, selection and interaction between themselves. In this paper, a proposed modified opt-aiNET approach using based on mutation operator inspired in differential evolution and beta probability distribution (opt-BDaiNET) is described and validated to three benchmark functions and to shell and tube heat exchanger optimization based on the minimization from economic view point. Simulations are conducted to verify the efficiency of proposed opt-BDaiNET algorithm and the results obtained for two case studies are compared with those obtained by using genetic algorithm and particle swarm optimization. In this application domain, the opt-aiNET and opt-BDaiNET were found to outperform the previously best-known solutions available in the recent literature.

[1]  Jonathan Timmis,et al.  A Comment on Opt-AiNET: An Immune Network Algorithm for Optimisation , 2004, GECCO.

[2]  Jonathan Timmis,et al.  Artificial Immune Systems: A New Computational Intelligence Approach , 2003 .

[3]  Ray Sinnott,et al.  Chemical Engineering Design , 2007 .

[4]  M. M. Ali Synthesis of the beta-distribution as an aid to stochastic global optimization , 2007, Comput. Stat. Data Anal..

[5]  Riccardo Poli,et al.  Genetic and Evolutionary Computation – GECCO 2004 , 2004, Lecture Notes in Computer Science.

[6]  R. V. Rao,et al.  Design optimization of shell-and-tube heat exchanger using particle swarm optimization technique , 2010 .

[7]  Rainer Storn,et al.  Differential Evolution – A Simple and Efficient Heuristic for global Optimization over Continuous Spaces , 1997, J. Glob. Optim..

[8]  Frederico G. Guimarães,et al.  Overview of Artificial Immune Systems for Multi-objective Optimization , 2007, EMO.

[9]  Fernando José Von Zuben,et al.  An Evolutionary Immune Network for Data Clustering , 2000, SBRN.

[10]  Lei Wang,et al.  Predication based immune network for multimodal function optimization , 2010, Eng. Appl. Artif. Intell..

[11]  Antonio Casimiro Caputo,et al.  Heat exchanger design based on economic optimisation , 2008 .

[12]  L.N. de Castro,et al.  An artificial immune network for multimodal function optimization , 2002, Proceedings of the 2002 Congress on Evolutionary Computation. CEC'02 (Cat. No.02TH8600).

[13]  Jonathan Timmis,et al.  Artificial immune systems - a new computational intelligence paradigm , 2002 .

[14]  Donald Quentin Kern,et al.  Process heat transfer , 1950 .

[15]  J.A. Ramirez,et al.  A modified immune network algorithm for multimodal electromagnetic problems , 2006, IEEE Transactions on Magnetics.

[16]  Adolf Grauel,et al.  A New Paradigm of Optimisation by Using Artificial Immune Reactions , 2003, KES.

[17]  Lakhmi C. Jain,et al.  Knowledge-Based Intelligent Information and Engineering Systems , 2004, Lecture Notes in Computer Science.

[18]  Reşat Selbaş,et al.  A new design approach for shell-and-tube heat exchangers using genetic algorithms from economic point of view , 2006 .

[19]  Klaus D. Timmerhaus,et al.  Plant design and economics for chemical engineers , 1958 .

[20]  Wei Zhang,et al.  A Survey of artificial immune applications , 2010, Artificial Intelligence Review.

[21]  Fernando José Von Zuben,et al.  omni-aiNet: An Immune-Inspired Approach for Omni Optimization , 2006, ICARIS.

[22]  Yun Shang,et al.  A Note on the Extended Rosenbrock Function , 2006 .

[23]  Igor Bulatov,et al.  Cost estimation and energy price forecasts for economic evaluation of retrofit projects , 2003 .

[24]  Konstantinos G. Margaritis,et al.  An Experimental Study of Benchmarking Functions for Genetic Algorithms , 2002, Int. J. Comput. Math..