Reformulations of Big Bang-Big Crunch Algorithm for Discrete Structural Design Optimization
In the present study the efficiency of Big Bang-Big
Crunch (BB-BC) algorithm is investigated in discrete structural
design optimization. It is shown that a standard version of the BB-BC
algorithm is sometimes unable to produce reasonable solutions to
problems from discrete structural design optimization. Two
reformulations of the algorithm, which are referred to as modified
BB-BC (MBB-BC) and exponential BB-BC (EBB-BC), are
introduced to enhance the capability of the standard algorithm in
locating good solutions for steel truss and frame type structures,
respectively. The performances of the proposed algorithms are
experimented and compared to its standard version as well as some
other algorithms over several practical design examples. In these
examples, steel structures are sized for minimum weight subject to
stress, stability and displacement limitations according to the
provisions of AISC-ASD.
[1] F. Erbatur, M.M. Al-Hussainy, "Optimum design of frames", Comput.
Struct., 45(5-6), 887-891, 1992.
[2] E.I. Tabak, P.M. Wright,. "Optimality criteria method for building
frames", J. Struct. Div., ASCE, 107(7), 1327-1342, 1981.
[3] M.P. Saka, "Optimum design of steel frames with stability constraints"
Comput. Struct., 41(6), 1365-1377, 1991.
[4] X-S. Yang, "Nature-inspired metaheuristic algorithms" Luniver Press,
2008.
[5] L. Lamberti, C. Pappalettere, "Metaheuristic design optimization of
skeletal structures: a review", Computational Technology Reviews, 4, 1-
32, 2011. doi:10.4203/ctr.4.1
[6] M.P. Saka, "Optimum design of steel frames using stochastic search
techniques based in natural phenomena: a review", in B.H.V. Topping,
(Editor), "Civil Engineering Computations: Tools and Techniques",
Saxe-Coburg Publications, Stirlingshire, UK, Chapter 6, pp 105-147,
2007.
[7] M.P. Saka, E. Do─ƒan, "Recent developments in metaheuristic
algorithms: a review" in B.H.V. Topping, (Editor), "Computational
Technology Reviews", Saxe-Coburg Publications, Stirlingshire, UK, 31-
78, 2012.
[8] O.K. Erol, I. Eksin, "New optimization method: big bang-big crunch",
Adv. Eng. Software, 37, 106-11, 2006.
[9] M.H. Afshar, I. Motaei, "Constrained big bang-big crunch algorithm for
optimal solution of large scale reservoir operation problem", Int. J.
Optim. Civil Eng., 1(2), 357-375, 2011.
[10] H. Tang, J. Zhou, S. Xue, L. Xie, "Big bang-big crunch optimization for
parameter estimation in structural systems", Mech. Syst. Signal Proc.;
24(8), 2888-2897, 2010.
[11] C.V. Camp, "Design of space trusses using big bang-big crunch
optimization", J. Struct. Eng., ASCE, 133, 999-1008, 2007.
[12] A. Kaveh, H. Abbasgholiha, "Optimum design of steel sway frames
using big bang-big crunch algorithm", Asian J. Civ. Eng., 12(3), 293-
317, 2011.
[13] L. Lamberti, C. Pappalettere, "A fast big bang-big crunch optimization
algorithm for weight minimization of truss structures", in Y.
Tsompanakis, B.H.V. Topping, (Editors), Proceedings of the Second
International Conference on Soft Computing Technology in Civil,
Structural and Environmental Engineering, Civil-Comp Press,
Stirlingshire, Paper 11, 2011.
[14] A. Kaveh, S. Talatahari, "Size optimization of space trusses using big
bang-big crunch algorithm", Comput. Struct., 87(17-18), 1129-1140,
2009.
[15] A. Kaveh, S. Talatahari, "Optimal design of Schwedler and ribbed
domes via hybrid Big Bang-Big Crunch algorithm", J. Construct. Steel
Res., 66 (3), 412-419, 2009.
[16] A. Kaveh, S. Talatahari, "A discrete big bang-big crunch algorithm for
optimal design of skeletal structures", Asian J. Civ. Eng., 11(1), 103-
123, 2010.
[17] A. Kaveh, S. Talatahari, R. Sheikholeslami, "Optimum seismic design of
gravity retaining walls using the heuristic big bang-big crunch
algorithm", in Y. Tsompanakis, B.H.V. Topping, (Editors),
Proceedings of the Second International Conference on Soft Computing
Technology in Civil, Structural and Environmental Engineering, Civil-
Comp Press, Stirlingshire, UK, Paper 4, 2011.
[18] S. Kazemzadeh Azad, O. Hasançebi, O.K. Erol, "Evaluating efficiency
of big-bang big crunch algorithm in benchmark engineering optimization
problems", Int. J. Optim. Civil. Eng., 1(3), 495-505, 2011.
[19] AISC-ASD. "Manual of steel construction-allowable stress design", 9th
ed., Chicago, Illinois, USA, 1989.
[20] O. Hasançebi, S. Çarbaş, E. Doğan, F. Erdal, M.P. Saka, "Optimum
design of real size steel frames using non-deterministic search
techniques, Computers and Structures, 88 (17-18), 1033-1048, 2010.
[21] O. Hasançebi, "Adaptive evolution strategies in structural optimization:
enhancing their computational performance with applications to largescale
structures", Comput. Struct., 86 (1-2), 119-132, 2008.
[22] O. Hasançebi, S. Kazemzadeh Azad, "Discrete Size Optimization of
Steel Trusses using a Refined Big Bang-Big Crunch Algorithm",
Engineering Optimization, accepted, 2012.
[23] O. Hasançebi, S. Kazemzadeh Azad, "An Exponential Big Bang-Big
Crunch Algorithm for Discrete Design Optimization of Steel Frames",
Computers and Structures, accepted, 2012.
[24] G.S. Ramaswamy, M. Eekhout, G.R. Suresh, "Analysis, design and
construction of steel space frames", Thomas Telford Publishing, 2002.
[25] O. Hasançebi, S. Çarbas, M.P. Saka, "A reformulation of the ant colony
optimization algorithm for large scale structural optimization" In
Proceedings of the Second International Conference on Soft Computing
Technology in Civil, Structural and Environmental Engineering,
Tsompanakis Y, Topping BHV, (Editors), Civil-Comp Press,
Stirlingshire, UK, Paper 12.
[26] ASCE 7-05, "Minimum design loads for building and other structures",
American Society of Civil Engineering, 2005.
[27] O. Hasançebi, S. Çarbaş, E. Doğan, F. Erdal, M.P. Saka, "Performance
evaluation of metaheuristic search techniquesin the optimum design of
real size pin jointed structures", Comput Struct, 87(5-6):284-302, 2009.
[28] O. Hasançebi, S. Çarbaş, M.P. Saka, Improving the performance of
simulated annealing in structural optimization, Struct. Multidisc. Optim.,
41, 189-203, 2010.
[1] F. Erbatur, M.M. Al-Hussainy, "Optimum design of frames", Comput.
Struct., 45(5-6), 887-891, 1992.
[2] E.I. Tabak, P.M. Wright,. "Optimality criteria method for building
frames", J. Struct. Div., ASCE, 107(7), 1327-1342, 1981.
[3] M.P. Saka, "Optimum design of steel frames with stability constraints"
Comput. Struct., 41(6), 1365-1377, 1991.
[4] X-S. Yang, "Nature-inspired metaheuristic algorithms" Luniver Press,
2008.
[5] L. Lamberti, C. Pappalettere, "Metaheuristic design optimization of
skeletal structures: a review", Computational Technology Reviews, 4, 1-
32, 2011. doi:10.4203/ctr.4.1
[6] M.P. Saka, "Optimum design of steel frames using stochastic search
techniques based in natural phenomena: a review", in B.H.V. Topping,
(Editor), "Civil Engineering Computations: Tools and Techniques",
Saxe-Coburg Publications, Stirlingshire, UK, Chapter 6, pp 105-147,
2007.
[7] M.P. Saka, E. Do─ƒan, "Recent developments in metaheuristic
algorithms: a review" in B.H.V. Topping, (Editor), "Computational
Technology Reviews", Saxe-Coburg Publications, Stirlingshire, UK, 31-
78, 2012.
[8] O.K. Erol, I. Eksin, "New optimization method: big bang-big crunch",
Adv. Eng. Software, 37, 106-11, 2006.
[9] M.H. Afshar, I. Motaei, "Constrained big bang-big crunch algorithm for
optimal solution of large scale reservoir operation problem", Int. J.
Optim. Civil Eng., 1(2), 357-375, 2011.
[10] H. Tang, J. Zhou, S. Xue, L. Xie, "Big bang-big crunch optimization for
parameter estimation in structural systems", Mech. Syst. Signal Proc.;
24(8), 2888-2897, 2010.
[11] C.V. Camp, "Design of space trusses using big bang-big crunch
optimization", J. Struct. Eng., ASCE, 133, 999-1008, 2007.
[12] A. Kaveh, H. Abbasgholiha, "Optimum design of steel sway frames
using big bang-big crunch algorithm", Asian J. Civ. Eng., 12(3), 293-
317, 2011.
[13] L. Lamberti, C. Pappalettere, "A fast big bang-big crunch optimization
algorithm for weight minimization of truss structures", in Y.
Tsompanakis, B.H.V. Topping, (Editors), Proceedings of the Second
International Conference on Soft Computing Technology in Civil,
Structural and Environmental Engineering, Civil-Comp Press,
Stirlingshire, Paper 11, 2011.
[14] A. Kaveh, S. Talatahari, "Size optimization of space trusses using big
bang-big crunch algorithm", Comput. Struct., 87(17-18), 1129-1140,
2009.
[15] A. Kaveh, S. Talatahari, "Optimal design of Schwedler and ribbed
domes via hybrid Big Bang-Big Crunch algorithm", J. Construct. Steel
Res., 66 (3), 412-419, 2009.
[16] A. Kaveh, S. Talatahari, "A discrete big bang-big crunch algorithm for
optimal design of skeletal structures", Asian J. Civ. Eng., 11(1), 103-
123, 2010.
[17] A. Kaveh, S. Talatahari, R. Sheikholeslami, "Optimum seismic design of
gravity retaining walls using the heuristic big bang-big crunch
algorithm", in Y. Tsompanakis, B.H.V. Topping, (Editors),
Proceedings of the Second International Conference on Soft Computing
Technology in Civil, Structural and Environmental Engineering, Civil-
Comp Press, Stirlingshire, UK, Paper 4, 2011.
[18] S. Kazemzadeh Azad, O. Hasançebi, O.K. Erol, "Evaluating efficiency
of big-bang big crunch algorithm in benchmark engineering optimization
problems", Int. J. Optim. Civil. Eng., 1(3), 495-505, 2011.
[19] AISC-ASD. "Manual of steel construction-allowable stress design", 9th
ed., Chicago, Illinois, USA, 1989.
[20] O. Hasançebi, S. Çarbaş, E. Doğan, F. Erdal, M.P. Saka, "Optimum
design of real size steel frames using non-deterministic search
techniques, Computers and Structures, 88 (17-18), 1033-1048, 2010.
[21] O. Hasançebi, "Adaptive evolution strategies in structural optimization:
enhancing their computational performance with applications to largescale
structures", Comput. Struct., 86 (1-2), 119-132, 2008.
[22] O. Hasançebi, S. Kazemzadeh Azad, "Discrete Size Optimization of
Steel Trusses using a Refined Big Bang-Big Crunch Algorithm",
Engineering Optimization, accepted, 2012.
[23] O. Hasançebi, S. Kazemzadeh Azad, "An Exponential Big Bang-Big
Crunch Algorithm for Discrete Design Optimization of Steel Frames",
Computers and Structures, accepted, 2012.
[24] G.S. Ramaswamy, M. Eekhout, G.R. Suresh, "Analysis, design and
construction of steel space frames", Thomas Telford Publishing, 2002.
[25] O. Hasançebi, S. Çarbas, M.P. Saka, "A reformulation of the ant colony
optimization algorithm for large scale structural optimization" In
Proceedings of the Second International Conference on Soft Computing
Technology in Civil, Structural and Environmental Engineering,
Tsompanakis Y, Topping BHV, (Editors), Civil-Comp Press,
Stirlingshire, UK, Paper 12.
[26] ASCE 7-05, "Minimum design loads for building and other structures",
American Society of Civil Engineering, 2005.
[27] O. Hasançebi, S. Çarbaş, E. Doğan, F. Erdal, M.P. Saka, "Performance
evaluation of metaheuristic search techniquesin the optimum design of
real size pin jointed structures", Comput Struct, 87(5-6):284-302, 2009.
[28] O. Hasançebi, S. Çarbaş, M.P. Saka, Improving the performance of
simulated annealing in structural optimization, Struct. Multidisc. Optim.,
41, 189-203, 2010.
@article{"International Journal of Architectural, Civil and Construction Sciences:64859", author = "O. Hasançebi and S. Kazemzadeh Azad", title = "Reformulations of Big Bang-Big Crunch Algorithm for Discrete Structural Design Optimization", abstract = "In the present study the efficiency of Big Bang-Big
Crunch (BB-BC) algorithm is investigated in discrete structural
design optimization. It is shown that a standard version of the BB-BC
algorithm is sometimes unable to produce reasonable solutions to
problems from discrete structural design optimization. Two
reformulations of the algorithm, which are referred to as modified
BB-BC (MBB-BC) and exponential BB-BC (EBB-BC), are
introduced to enhance the capability of the standard algorithm in
locating good solutions for steel truss and frame type structures,
respectively. The performances of the proposed algorithms are
experimented and compared to its standard version as well as some
other algorithms over several practical design examples. In these
examples, steel structures are sized for minimum weight subject to
stress, stability and displacement limitations according to the
provisions of AISC-ASD.", keywords = "Structural optimization, discrete optimization,
metaheuristics, big bang-big crunch (BB-BC) algorithm, design
optimization of steel trusses and frames.", volume = "7", number = "2", pages = "208-12", }
