An exponential big bang-big crunch algorithm for discrete design optimization of steel frames

Hasançebi, O.; Azad, Saeid Kazemzadeh

doi:10.1016/j.compstruc.2012.07.014

Cited by 61 publications

(24 citation statements)

References 14 publications

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“…18.11, i.e., x new ¼ x c , the generation process is iterated in the same way by decreasing the k parameter of the exponential distribution by half each time, and this is repeated until a different solution is produced, i.e., x new 6 ¼ x c . Hasançebi and Azad (2012) presented two numerical examples to investigate the performance of EBB-BC and MBB-BC. Compared with standard BB-BC, the improved variants gave the better results in terms of balancing between the exploration and exploitation characteristics of the algorithms.…”

Section: Improved Bb-bc Algorithmmentioning

confidence: 99%

“…To improve the BB-BC performance, Hasançebi and Azad (2012) proposed two enhanced variants of the BB-BC algorithm, called modified BB-BC (MBB-BC) and exponential BB-BC algorithm (EBB-BC), respectively. In the new formulation, the normal random number (r) is changed by using any appropriate statistical distribution in order to eliminate the shortcomings of the standard formulation (e.g., big search dimensionality).…”

Section: Improved Bb-bc Algorithmmentioning

confidence: 99%

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Big Bang–Big Crunch Algorithm

Xing

Gao²

2013

Innovative Computational Intelligence: A Rough Guide to 134 Clever Algorithms

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In this chapter, the big bang-big crunch (BB-BC), a global optimization method inspired from one of the cosmological theories known as closed universe, is introduced. We first, in Sect. 18.1, describe the background knowledge regarding the big bang and big crunch. Then, Sect. 18.2 details the fundamentals of BB-BC, the selected variants of BB-BC, and the representative BB-BC application, respectively. Finally, Sect. 18.3 draws the conclusions of this chapter. IntroductionCosmological theory is an exciting subject, because it shows how the universe happens, moves, and revolutions. One of the fascinating topics is where all of the stars and galaxies came from (and how, and why)? This question has long been explored by the physics. For example, two famous physics, i.e., Sir Isaac Newton and Albert Einstein, believed that the universe is unchanging and introduced a term, called cosmological constant. However, this would prove to be a mistake. In 1929, astronomer Edwin Hubble discovered that the universe was expanding. He found that in the early universe, gravity was very strong, as a result of the concentration of matter in a very small space-so small, in fact, that it was compressed down to a single point. Thus, it would suffer an incredible pressure and has expanded ever since, known as the big bang. This event was controversial until 1965, when an accidental discovery supported the theory. Today, the most advanced astronomical observations show that the big bang theory is likely true.Scientists were originally very upset by the big bang theory, because they believed in an eternal universe (i.e., the universe does not change over time). However, they concerned soon with another question of what is the ultimate fate of the universe? One idea that was popular was that the universe would expand until gravity began to pull it back, resulting in a big crunch, where all matter returned to a single unified point-and then the cycle of expansion would start all over again. This hypothesis is known as closed universe. What happens after that? We cannot exactly tell for now. Big BangLiterally, every bit of matter and energy in our universe was created through a singular event (i.e., the unimaginable crucible of heat and light) that we call the big bang (Bauer and Westfall 2011). Just for the record, it was neither big (in fact, it was very small and fit onto the head of a pin), nor was there a bang. This event happened 13:73 AE 0:12 ð Þ Â 10 9 years ago. Although this theory is not perfect, and over time physics made efforts in order to make it more consistent. One thing is true that the universe was well on its way to becoming what we observe today: filled with galaxies, stars, planets, and all other sorts of strange and exotic things. Big CrunchOne hypothesis that the future of the universe is called big crunch model, which means that the universe contracts back into a point of mass. This will proceed almost exactly like the big bang, except in reverse. Whether the expansion of the universe will take place forever...

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Section: Improved Bb-bc Algorithmmentioning

confidence: 99%

Section: Improved Bb-bc Algorithmmentioning

confidence: 99%

Big Bang–Big Crunch Algorithm

Xing

Gao²

2013

Innovative Computational Intelligence: A Rough Guide to 134 Clever Algorithms

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show abstract

“…ICA [25], CSS [30] and IRO [31] algorithms found the best solution after 6,000, 7,000 and 18,300 structural analyses, respectively. ALC-PSO and HALC-PSO achieved the optimum design after 10,000 and 13,000 structural (22) analyses, respectively. However, they can obtain the ICA and IRO optimized designs after about 5,500 structural analyses and CSS optimized designs after about 7,000 structural analyses.…”

Section: Spatial 120-bar Dome Shaped Trussmentioning

confidence: 99%

“…For example, Sonmez [18] utilized artificial bee colony, Degertekin and Hayalioglu [19] employed teaching-learningbased optimization, Hosseini et al [20] used multi objective particle swarm optimization and Ho-Huu et al [21] utilized an adaptive elitist differential evolution for optimization of the truss structures. Hasançebi and Kazemzadeh Azad [22] used exponential big bang-big crunch algorithm, Toǧan [23] employed teaching-learning based optimization and Hasançebi and Carbas [24] utilized bat inspired algorithm for size optimization of steel frames. Optimization results are compared to those of some other meta-heuristic algorithms.…”

Section: Introductionmentioning

confidence: 99%

Optimum Design of Skeletal Structures Using PSO-Based Algorithms

Kaveh

Ghazaan²

2016

Period. Polytech. Civil Eng.

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“…where θ is a constant, N 0, 1 is a random number according to a standard normal distribution, and ε is the iteration number [48].…”

Section: Discrete Black Hole Algorithmmentioning

confidence: 99%

Smart Scheduling: An Integrated First Mile and Last Mile Supply Approach

2018

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Supply chain management applies more and more Industry 4.0 innovations to increase their availability, elasticity, sustainability, and efficiency. In interconnected logistics networks, operations are integrated from suppliers through 3rd party logistics providers to customers. There are different delivery models depending on the time and cost. In the last few years, a wide range of customers is willing to pay an extra fee for the same delivery or instant delivery. This fact led to the increased importance of the optimized design and control of first mile/last mile (FMLM) delivery solutions. Cyberphysical system-based service innovations make it possible to enhance the productivity of FMLM delivery in the big data environment. The design and operation problems can be described as NP-hard optimization problems. These problems can be solved using sophisticated models and methods based on heuristic and metaheuristic algorithms. This research proposes an integrated supply model of FMLM delivery. After a careful literature review, this paper introduces a mathematical model to formulate the problem of realtime smart scheduling of FMLM delivery. The integrated model includes the assignment of first mile and last mile delivery tasks to the available resources and the optimization of operations costs, while constraints like capacity, time window, and availability are taken into consideration. Next, a black hole optimization-(BHO-) based algorithm dealing with a multiobjective supply chain model is presented. The sensitivity of the enhanced algorithm is tested with benchmark functions. Numerical results with different datasets demonstrate the efficiency of the proposed model and validate the usage of Industry 4.0 inventions in FMLM delivery.

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An exponential big bang-big crunch algorithm for discrete design optimization of steel frames

Cited by 61 publications

References 14 publications

Big Bang–Big Crunch Algorithm

Big Bang–Big Crunch Algorithm

Optimum Design of Skeletal Structures Using PSO-Based Algorithms

Smart Scheduling: An Integrated First Mile and Last Mile Supply Approach

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