Gradient Repair Method - HN-PSO Algorithm Procedure - MATLAB Assessment Answer

TASK:

HN-PSO algorithm procedure. Assume the problem to be solved is -dimensional. First produce N(N≥2n+1) particles to form a swarm. For every particle that violates the
constraints, use the gradient repair method to direct the infeasible solution toward the feasible region. In most cases, the repair method does move the solution to the feasible region.
Arrange the results of the objective function in order of good to bad and divide the N particles into n particles, the (n+1)th particle and N-(n+1) and  particles and then create three groups. First calculate the top n particles and the (n+1) th particle using the NM simplex method. The updated best particle is obtained and the result saved. The PSO method adjusts the  particles by taking into account the position of the (n+1) particle. Through the calculation of a simple NM algorithm, the probability of finding the optimal solution was increased. This procedure for adjusting the N  particles involves selection of the global best particle, the selection of the neighboring best particles, and finally the velocity updates. The global best particle of the population is determined according to the sorted fitness values.
Steps:
1. Initialization. Generate a population of size N (N > (n + 1)).
Repeat
2. Constraint handling method
?  The Gradient Repair Method. Repair particles that violate the constraints by directing the infeasible solution toward the feasible region.
? Identify solutions (that fulfill the constraint conditions) and arrange them in the order of good to bad.
3. Nelder-Mead Method. Apply NM operator to the top n + 1 particles and update the (n + 1)th particle.
4. PSO Method. Apply PSO operator for updating the  N particles.

?  Selection. Select the global best particle and the neighborhood best particle from the population.
?  Velocity Update. Apply velocity updates to the N  particles until the condition is fulfilled. prioritization phase
In order to avoid the congestion after the optimization process flow of queres are based on prioritization technique. Under the normal load the queue is scheduled using a first come first served basis(FCFS).The source nodes detects the events and assign the priorities based on the type of data. One bit in each query is reserved for the priority assignment. Priority assignment helps in preventing of query during congestion.

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