Application of chaos in simulated annealing

Ji, Mingjun; Tang, Huanwen

doi:10.1016/j.chaos.2003.12.032

Cited by 190 publications

(70 citation statements)

References 15 publications

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“…In 2012, Gandomi et al, proposed a chaos-enhanced version of accelerated particle swarm optimization [9]. Some of other chaos-enhanced heuristic algorithms are chaotic Genetic Algorithms [10], chaotic Differential Evolution [11], chaotic Simulated Annealing [12], and chaotic Firefly Algorithm [13], [14]. The result of these studies evidences the successfulness of chaos in improving the performance of heuristic algorithms.…”

Section: Introductionmentioning

confidence: 96%

Integrating Chaos to Biogeography-Based Optimization Algorithm

Saremi¹,

Mirjalili²

2013

IJCCE

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Section: Introductionmentioning

confidence: 96%

Integrating Chaos to Biogeography-Based Optimization Algorithm

Saremi¹,

Mirjalili²

2013

IJCCE

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“…Some sudden and dramatic changes in nonlinear systems may give rise to the complex behavior called chaos [19]. Chaos has been studied within the engineering scientific and mathematical communities and found to be useful in many disciplines such as high-performance circuits and devices, collapse prevention of power systems, and also information processing [20]. Since chaos theory is used to analyze complex systems and transportation systems are complex entities, it is useful for transportation applications.…”

Section: Chaos Theorymentioning

confidence: 99%

“…is also updated using a well-known equation of generating chaotic patterns [24] named logistic map equation applied by (3) in which parameter is set as 4 [20]. Consider …”

Section: Developing Mathematical Modelmentioning

confidence: 99%

Developing a Chaotic-Simulation Based Model for Ranking High Selected Network Links in Hazardous Material Transportation

Mahmoudabadi

2014

Modelling and Simulation in Engineering

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Hazardous material transportation is one of the main concerns due to the nature of hazardous materials and their incident impacts. In general, transport risk is a main attribute to develop mathematical models for hazardous material routing problem as well as network designing or improving road safety. This paper presents a chaotic-simulation based model to determine the high selected links to improve road network quality for hazardous material transportation, in which risk is considered as a chaotic variable over the network whereas a simulation technique has been applied to cover a wide range of selecting paths. A real road network, consists of fifty-nine nodes and eighty two-way edges, is used for running the mathematical model and checking validation. Due to the large amounts of hazardous material transported by trucks, the proposed methodology is focused on fuel transportation, and high selected list of edges (links) has been obtained to improve road safety. Sensitivity analysis revealed that using different seeds for generating transport risk has no significant effects on finding the most frequent paths and high selected edges.

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“…Chaos is a deterministic, random-like process found in nonlinear, dynamical system, which is non-period, non-converging and bounded. Moreover, it depends on its initial condition and parameters [22][23][24]. Applications of chaos in several disciplines including operations research, physics, engineering, economics, biology, philosophy and computer science [25][26][27].…”

Section: The Proposed Algorithm (Ifch) For Unconstrained Optimizationmentioning

confidence: 99%