Abstract

To give full play to the high efficiency and parallelism of multi-processor systems, the fireworks algorithm (FWA) is improved, and a multi-processor task scheduling algorithm based on improved FWA, named IMFWA, is proposed. IMFWA maps continuous space to discrete space by designing the fireworks location coding method, improves the Gaussian mutation process, and sets adaptive dimensions to accelerate the convergence speed of the algorithm. At the same time, in order to reduce the time complexity of the algorithm and shorten the time finding the optimal task scheduling sequence, the fitness-based tournament selection strategy is used instead of the rule based on Euclidean distance. Finally, IMFWA is compared with the basic fireworks algorithm and the genetic algorithms on the Matlab platform for performance analysis. The results show that the IMFWA has advantages in the convergence speed, and the negative impact of the number of tasks is also lower than the fireworks algorithm and genetic algorithm.

Highlights

  • The task scheduling problem belongs to the combinatorial optimization problem and cannot be solved within the polynomial time complexity [1]

  • 5.1 Experimental methods For evaluating the performance of Improved fireworks algorithm (IMFWA) algorithm, this research designed the comparative experiments with the basic fireworks algorithm and genetic algorithm which is widely used in task scheduling

  • It can be seen that the accuracy of IMFWA and FWA is superior to that of the genetic algorithm

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Summary

Introduction

The task scheduling problem belongs to the combinatorial optimization problem and cannot be solved within the polynomial time complexity [1]. It has been proved to be an NP-hard problem [2, 3] It is easy for multiple independent tasks to be scheduled on homogeneous multiprocessors, by only scheduling the task with the shortest completion time to the processor. The representative task scheduling scheme on heterogeneous multi-processors is more complex. The performance parameters, such as execution efficiency and total time of completion, need to be considered [4,5,6,7]. The combination optimization algorithm, which is widely used in task scheduling problem, is genetic algorithm (GA) [11,12,13]. The parameters of genetic algorithm are complicated to configure, and the effectiveness of the crossover and mutation operations decreases when the number of tasks increases, and the “premature” phenomenon can be triggered by the population initialization of the individuals [12, 14,15,16,17,18]

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