Abstract
In engineering, it is usually necessary to design systems as cheap as possible whilst ensuring that certain constraints are satisfied. Computational optimization methods can help to find optimal designs automatically. However, it is demonstrated in this work that an optimal design is often not robust against variations caused by the manufacturing process, which would result in unsatisfactory product quality. In order to avoid this, a meta-method is used in here, which can guide arbitrary optimization algorithms towards more robust solutions. This was demonstrated on a standard benchmark problem, the pressure vessel design problem, for which a robust design was found using the proposed method together with self-adaptive stepsize search , an optimization algorithm with only one control parameter to tune . The drop-out rate of a simulated manufacturing process was reduced by 30 % whilst maintaining near-minimal production costs, demonstrating the potential of the proposed method.
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References
Arnaud R, Poirion F (2014) Stochastic annealing optimization of uncertain aeroelastic system. Aerosp Sci Technol 39:456–464
Azad SK, Hasancebi O (2014) An elitist self-adaptive step-size search for structural design optimization. Appl Soft Comput 19:226–235
Azad SK, Hasancebi O (2014) Elitist self-adaptive step-size search in optimum sizing of steel structures. Int J Adv Comput Sci Appl 4(4):192–196
Bach H (1969) On the downhill method. Commun ACM 12(12):675–677
Cao YJ, Wu QH (1999) A mixed variable evolutionary programming for optimization of mechanical design. Eng Intell Syst Electr Eng Commun 7(2):77–82
Christensen PW, Klarbring A (2008) An introduction to structural optimization. Springer
Coello CAC (2002) Theoretical and numerical constraint-handling techniques used with evolutionary algorithms: a survey of the state of the art. Comput Methods Appl Mech Eng 191(11–12):1245–1287
Coello CAC, Montes EM (2001) Use of dominance-based tournament selection to handle constraints in genetic algorithms. Proc ANNIE 11:177–182
Congedo PM, Witteveen J, Iaccarino G (2013) A simplex-based numerical framework for simple and efficient robust design optimization. Comput Optim Appl 56:231–251
Costanzo F (2013) Engineering mechanics: statics, 2nd edn. McGraw-Hill Companies
Deb K (2000) An efficient constraint handling method for genetic algorithms. Comput Methods Appl Mech Eng 186(2–4):311–338
Dias Junior A, da Silva Junior DC (2013) Using guiding heuristics to improve the dynamic checking of temporal properties in data dominated high-level designs. In: Proceedings of IEEE Computer Society Annual Symposium on VLSI, pp 20–25
Dimopoulos GG (2007) Mixed-variable engineering optimization based on evolutionary and social metaphors. Comput Methods Appl Mech Eng 196(4–6):803–817
Dorigo M, Gambardella L (1997) Ant colony system: a cooperative learning approach to the travelling salesman problem. IEEE Trans Evol Comput 1(1):53–66
El-Mihoub T, Hopgood AA, Nolle L, Battersby A (2006) Hybrid genetic algorithms: a review. Eng Lett 13(2):124–137
Goldberg DE (1989) Genetic algorithms in search, optimization, and machine learning. Addison-Wesley
Guo WA, Li WZ, Zhang Q, Wang L, Wu QD, Ren HL (2015) Biogeography-based particle swarm optimization with fuzzy elitism and its applications to constrained engineering problems. Eng Optim 46(11):1465–1484
Holland JH (1975) Adaptation in natural and artificial systems. University of Michigan Press
He S, Prempain E, Wu QH (2004) An improved particle swarm optimiser for mechanical design optimization problems. Eng Optim 36(5):585–605
Jamshidi R, Ghomi SMTF, Karimi B (2015) Flexible supply chain optimization with controllable lead time and shipping option. Appl Soft Comput 30:26–35
Jayaprakasam S, Rahim SKA, Leow CY (2015) PSOGSA-explore: a new hybrid metaheuristic approach for beam pattern optimization in collaborative beamforming. Appl Soft Comput 30:229–237
Jeet V, Kutanoglu E (2007) Lagrangian relaxation guided problem space search heuristics for generalized assignment problems. Eur J Oper Res 182(3):1039–1056
Kanagaraj G, Ponnambalam SG, Jawahar N, Nilakantan Mukund J (2015) An effective hybrid cuckoo search and genetic algorithm for constrained engineering design optimization. Eng Optim 46(10): 1331–1351
Kennedy J, Eberhart R (1995) Particle swarm optimization. In: Proceedings of IEEE international conference on neural networks, vol. 4, pp 1942–1948
Kirkpatrick S, Gelatt CD, Vecchi MP (1984) Optimization by simulated annealing: quantitative study. J Stat Phys 34(1984):975–986
Kitayama S, Arakawa M, Yamazaki K (2006) Penalty function approach for the mixed discrete nonlinear problems by particle swarm optimization. Struct Multidiscip Optim 32(3):191–202
Li Z, Li Ze, Nguyen TT, Chen S (2015) Orthogonal chemical reaction optimization algorithm for global numerical optimization problems. Expert Syst Appl 42:3242–3252
Li X, Zhang G (2013) Minimum penalty for constrained evolutionary optimization. Comput Optim Appl 60(2):513–544
Liao T, Socha K, Montes de Oca MA, Stuetzle T, Dorigo M (2014) Ant colony optimization for mixed-variable optimization problems. IEEE Trans Evol Comput 18(4):503–518
Lopez RH, Ritto TG, Sampaio R, Souza de Cursi JE (2014) A new algorithm for the robust optimization of rotor-bearing systems. Eng Optim 46(8):1123–1138
Mahia M, Baykan ÖK, Kodaz H (2015) A new hybrid method based on particle swarm optimization, ant colony optimization and 3-opt algorithms for traveling salesman problem. Appl Soft Comput 30:484–490
Martínez-Soto R, Castillo O, Aguilar LT, Rodriguez A (2015) A hybrid optimization method with PSO and GA to automatically design Type-1 and Type-2 fuzzy logic controllers. Int J Mach Learn Cybernet 6:175–196
Metropolis N, Rosenbluth A, Rosenbluth M, Teller A, Teller E (1953) Equation of state calculations by fast computing machines. J Chem Phys 21:1087–1092
Murty KG (1983) Linear programming, John Wiley & Sons
Nelder JA, Mead R (1965) A simplex-method for function minimization. Comput J 7(4):308–313
Nema S, Goulermas J, Sparrow G, Cook P (2008) A hybrid particle swarm branch-and-bound (HPB) optimizer for mixed discrete nonlinear programming. IEEE Trans Syst Man Cybern Part A 38(6):1411–1424
Nolle L (2006) On a hill-climbing algorithm with adaptive step size: towards a control parameter-less black-box optimisation Algorithm. In: Reusch B (ed) Computational intelligence, theory and applications, advances in soft computing, vol 38. Springer, pp 587–595
Nolle L (2007) SASS applied to optimum work roll profile selection in the hot rolling of wide steel. Knowl-Based Syst 20(2):203–208
Nolle L, Bland JA (2012) Self-adaptive stepsize search for automatic optimal design. Knowl-Based Syst 29:75–82
OED (2015) Oxford English dictionary. Oxford University Press
Pappas M, Amba-Rao CL (1971) A direct search algorithm for automated optimum structural design. Am Inst Aeron Astron J 9(3):387–393
Pholdee N, Park W, Kim DK, Im Y, Bureerat S, Kwon H, Chun M (2015) Efficient hybrid evolutionary algorithm for optimization of a strip coiling process. Eng Optim 47(4), 521–532
Pullarcot S (2002) Practical guide to pressure vessel manufacturing. CRC Press
Rao SS (2009) Engineering optimization, theory and practice, 4th edn. Wiley
Rechenberg I (1973) Evolutionsstrategie – Optimierung technischer Systeme nach Prinzipien derbiologischen Evolution, Frommann-Holzboog
Rubinstein RY (1981) Simulation and the Monte Carlo method. Wiley, New York
Runarsson TP, Yao X (2000) Stochastic ranking for constrained evolutionary optimization. IEEE Trans Evol Comput 4(3):284–294
Salimi H (2015) Stochastic fractal search: a powerful metaheuristic algorithm. Knowl-Based Syst 75:1–18
Sandgren S (1990) Nonlinear integer and discrete programming in mechanical design optimization. J Mech Des 112:223–229
Sayol J, Nolle L, Schaefer G, Nakashima T (2008) Comparison of simulated annealing and SASS for parameter estimation of biochemical networks. In: Proceedings of IEEE World Congress on Computational Intelligence, 1–6 June, Hong Kong, China, pp 3568–3571
Shanley FR (1949) Principles of structural design for minimum weight. J Aeron Sci 16(3):133–149
Standards Australia (1995) Steel plates for pressure equipment AS 1548:1995
Storn R, Price K (1997) Differential evolution: a simple and efficient heuristic for global optimization over continuous spaces. J Global Optim 11:341–359
Templeman AB (1970) Structural design or minimum cost using the method of geometric programming. ICE Proc. 46(4):459–472
Wang J, Yuan W, Cheng D (2015) Hybrid genetic–particle swarm algorithm: an efficient method for fast optimization of atomic clusters. Comput Theor Chem 1059:12–17
Xu R, Venayagamoorthy GK, Wunsch DC (2007) Modeling of gene regulatory networks with hybrid differential evolution and particle swarm optimization. Neural Netw 20(8):917–992
Yang HZ, Zhu Y, Lu QJ, Zhang J (2015) Dynamic reliability based design optimization of the tripod sub-structure of offshore wind turbines. Renew Energy 78:16–25
Zhou Y, Zhou G, Zhang J (2015) A hybrid glow worm swarm optimization algorithm to solve constrained multimodal functions optimization. Optim: J Math Progr Oper Res 64(4), 1057–1080
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Nolle, L., Krause, R., Cant, R.J. (2016). On Practical Automated Engineering Design. In: Al-Begain, K., Bargiela, A. (eds) Seminal Contributions to Modelling and Simulation. Simulation Foundations, Methods and Applications. Springer, Cham. https://doi.org/10.1007/978-3-319-33786-9_10
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