“…Consequently, the purpose of minimization of both fuel cost and emission has a significantly high role in the power systems. Due to the importance of the problem, a huge number of researchers have been attracted and published a lot of papers so far such as Hopfield Neural Network (HNN) [1], Improved Hopfield Neural Network Model (IHNN) [1], Tabu Search (TS) [2], fuzzy logic controlled genetic algorithm (FCGA) [3], the Non-dominated Sorting Genetic Algorithm -II (NSGA-II) [4], Differential Evolution (DE) [5], Genetic algorithm (GA) [6], Particle swarm optimization (PSO) [6], biogeography-based optimization (BBO) [7], pareto differential evolution (PDE) [8], nondominated sorting genetic algorithm-II (NSGA-II) [8], strength pareto evolutionary algorithm 2 (SPEA 2) [8], Hybrid Differential evolution-sequential quadratic programming (DE-SQP) [8], Hybrid Particle Swarm optimization-sequential quadratic programming (PSO-SQP) [9], parallel synchronous PSO algorithm (PSPSO) [10], ABC_PSO [11], multi-objective cultural algorithm (MOCA) [12], Basic Cuckoo Search Algorithm (CSA) [13], Lambda method (LM) [14], Hopfield Lagrange Network (HLN) [14], flower pollination algorithm (FPA) [15], Bat algorithm [16], modified Bat algorithm (MBA) [16], and gravitational search algorithm (GSA) [17]. Among these considered methods, IHNN [1], LM [14] and HNN [14] belong to the family of deterministic algorithms where other ones are included in the meta-heuristic algorithms.…”