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Keywords
(13)
Ant Colony Optimization
Discrete Optimization
Function Optimization
Heuristic Optimization
Heuristic Search
Honeybee
Optimal Algorithm
Optimization Problem
Optimization Technique
Optimum Design
particle swarm optimizer
Swarm Intelligence
Artificial Bee Colony
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Discrete optimum design of truss structures using artificial bee colony algorithm
Discrete optimum design of truss structures using artificial bee colony algorithm,10.1007/s0015801005515,Structural and Multidisciplinary Optimizat
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Discrete optimum design of truss structures using artificial bee colony algorithm
(
Citations: 2
)
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Mustafa Sonmez
Over the past few years,
swarm intelligence
based optimization techniques such as
ant colony optimization
and particle swarm optimization have received considerable attention from engineering researchers and practitioners. These algorithms have been used in the solution of various engineering problems. Recently, a relatively new swarm based optimization algorithm called the
Artificial Bee Colony
(ABC) algorithm has begun to attract interest from researchers to solve optimization problems. The aim of this study is to present an optimization algorithm based on the ABC algorithm for the discrete
optimum design
of truss structures. The ABC algorithm is a metaheuristic
optimization technique
that mimics the process of food foraging of honeybees. Originally the ABC algorithm was developed for continuous
function optimization
problems. This paper describes the modifications made to the ABC algorithm in order to solve
discrete optimization
problems and to improve the algorithm’s performance. In order to demonstrate the effectiveness of the modified algorithm, four structural problems with up to 582 truss members and 29 design variables were solved and the results were compared with those obtained using other wellknown metaheuristic search techniques. The results demonstrate that the ABC algorithm is very effective and robust for the
discrete optimization
designs of truss structural problems.
Journal:
Structural and Multidisciplinary Optimization  STRUCT MULTIDISCIP OPTIM
, vol. 43, no. 1, pp. 8597, 2011
DOI:
10.1007/s0015801005515
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Citation Context
(2)
...A meta heuristic for optimum design of truss structures is presented in the recently published research article of
Sonmez (2011)
...
...In these comments we will argue that the benchmark examples presented in
Sonmez (2011)
are not particularly challenging...
...The best heuristics presented herein find equally good, or better, designs compared to those presented in
Sonmez (2011)
...
...
Sonmez (2011)
are that they are sizing problems with few potential bars and few degrees of freedom in the ground structure...
...The mathematical properties mentioned above are completely ignored in the meta heuristic presented in
Sonmez (2011)
...
...These observations can potentially explain the excessively large number of function evaluations used in
Sonmez (2011)
...
...In this section we report numerical results for three heuristics applied to the three problem instances in
Sonmez (2011)
, which only involve displacement and stress constraints...
...The ground structures, load conditions, displacement and stress limits are described in detail in
Sonmez (2011)
and are therefore not repeated here...
...Table 1 Numerical results for the 10bar truss problem Artificial Bee Colony Rounding Rounding + B&B (
Sonmez 2011
) Greedy...
...Table 2 Numerical results for the 25bar truss problem Artificial Bee Colony Rounding Rounding + B&B (
Sonmez 2011
) Greedy...
...The numerical experiments were run on an Intel Dual Core T7200 processor running at 2.0 GHz which is comparable to the processor used in
Sonmez (2011)
...
...For the first two problems the found designs are slightly heavier than the worst designs found in
Sonmez (2011)
...
...However, the relative difference between the found design and the best found design from
Sonmez (2011)
is in both cases less than 1%. For the third problem the rounding heuristic finds a design better than the best one found in Sonmez (2011)...
...However, the relative difference between the found design and the best found design from Sonmez (2011) is in both cases less than 1%. For the third problem the rounding heuristic finds a design better than the best one found in
Sonmez (2011)
...
...These observations support the claim that the three examples from
Sonmez (2011 )
a re not challenging...
...For two problems the greedy search finds designs that are as good as, or better, than the best designs found by Bee Colony optimization in
Sonmez (2011)
...
...Even though this is a more advanced heuristic it uses significantly fewer function evaluations than all the meta heuristics in
Sonmez (2011)
...
...Table 3 Numerical results for the 72bar truss problem Artificial Bee Colony Rounding Rounding + B&B (
Sonmez 2011
) Greedy...
...The conclusions in
Sonmez (2011)
are based on a numerical comparison with other stochastic meta heuristics rather than with the best available heuristics for the considered class of problems...
...The numerical results presented in
Sonmez (2011)
indicate that these stochastic algorithms produce designs with comparable weight using a similar number of evaluations...
...The numerical experiments reported herein clearly indicate that the stochastic heuristics used in
Sonmez (2011)
cannot compete with the best heuristic presented herein for the considered benchmark problems...
Mathias Stolpe
.
To bee or not to bee—comments on “Discrete optimum design of truss str...
...Fig. 12.2 A twenty fivebar spatial truss [
22
]...
...The 72bar truss is a challenging benchmark that has also been used by many researchers (e.g., [9, 18,
22
, 23])...
...16 A71–A72 Fig. 12.3 A 72bar spatial truss [
22
]...
Amir Hossein Gandomi
,
et al.
Benchmark Problems in Structural Optimization
References
(23)
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Artificial bee colony algorithm
(
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Dervis Karaboga
Journal:
Scholarpedia
, vol. 5, no. 3, 2010
Design of Space Trusses Using Ant Colony Optimization
(
Citations: 26
)
Charles V. Camp
,
Barron J. Bichon
Journal:
Journal of Structural Engineeringasce  J STRUCT ENGASCE
, vol. 130, no. 5, 2004
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Citations
(2)
To bee or not to bee—comments on “Discrete optimum design of truss structures using artificial bee colony algorithm”
Mathias Stolpe
Journal:
Structural and Multidisciplinary Optimization  STRUCT MULTIDISCIP OPTIM
, pp. 15
Benchmark Problems in Structural Optimization
Amir Hossein Gandomi
,
XinShe Yang