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Markov Chains || Step-By-Step || ~xRay Pixy

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Learn Markov Chains step-by-step using real-life examples. Video Chapters: Markov Chains 00:00 Introduction 00:19 Topics Covered 01:49 Markov Chains Applications 02:04 Markov Property 03:18 Example 1 03:54 States, State Space, Transition Probabilities 06:17 Transition Matrix 08:17 Example 02 09:17 Example 03 10:26 Example 04 12:25 Example 05 14:16 Example 06 16:49 Example 07 18:11 Example 08 24:56 Conclusion
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Dragonfly Optimization Algorithm Step-by-Step with example

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Dragonfly Optimization Algorithm (DOA)

Dragonfly Algorithm is developed by Mirjalili in 2016. Dragonfly Algorithm is a metaheuristic algorithm inspired by the behavior of dragonflies in nature. There are about 5000 known species of dragonflies. Dragonfly is a symbol of Strength, Courage, and Happiness in Japan. 

Dragonfly Algorithm Step-by-Step: -
Step 01: Initialize Dragonfly Population Randomly (𝑋_𝑖, Where i = 1,2,3,4,…n). 
Step 02: Initialize Step vector / Size for dragonfly (〖∆𝑋〗_𝑖).
Step 03: While(CurrentIteration < MaximumIteration)
Step 04: Computer Fitness Values for each dragonfly.
Step 05: Update Food sources and enemy. 
Step 06: Update parameters w, s, a, c, f, and e.
Step 07: Calculate S, A, C, and F.
Step 08: Update neighboring radius. 
Step 09: If the dragonfly has at least one neighboring dragonfly. { 
   Update Velocity and Position;
} 
else { Update Position; }
Elseif { Check and correct new position based on boundaries of variable; }

Note: To Improve randomness, we can update the dragonfly position using random walk (i.e., Levy’s Flight).




Dragonfly Optimization Algorithm on Different Engineering Design Problems

Engineering Design Problem
Engineering design problems include different complicated Cost Function (aka Fitness Function / Objective Functions). Engineering Optimization Techniques Aim is to “Find out Optimum solution from all feasible solutions”.

How Metaheuristic Algorithms Solve Engineering Design Problems?
Metaheuristic algorithms used randomization process. Metaheuristic algorithms are suitable for global optimization. For difficult engineering problems, develop and utilize metaheuristic algorithms (which may obtain good results).

Engineering Design Problems Example
A dragonfly optimization algorithm is applied to different engineering design problems: 
Welded Beam Design Optimization Problem
Speed reducer design optimization problem
Compression spring design optimization problem

Dragonfly Optimization Algorithm on Different Engineering Design Problems ~xRay Pixy

#Metaheuristic #Algorithms
Meta-heuristic Algorithms
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