Abstract: Metaheuristic algorithms are pivotal in cloud task scheduling. However, the complexity and uncertainty of the schedul-ing problem severely limit algorithms. To bypass this circumvent, numerous algorithms have been proposed. The Hiking Optimization Algorithm(HOA) have been used in multiple fields. However, HOA suffers from local optimization, slow convergence, and low efficiency of late iteration search when solving cloud task scheduling problems. Thus, this paper proposes an improved HOA called CMOHOA. It collaborates with multi-strategy to improve HOA. Specifically, Cheby-shev chaos is introduced to increase population diversity. Then,a hybrid speed update strategy is designed to enhance convergence speed. Meanwhile, an adversarial learning strategy is introduced to enhance the search capability in the late iteration. Different scenarios of scheduling problems are used to test the CMOHOA's performance. First, CMOHOA was used to solve basic cloud computing task scheduling problems, and the results showed that it reduced the average total cost by 10% or more. Secondly, CMOHOA has been applied to edge fog cloud scheduling problems, and the results show that it reduces the average total scheduling cost by 2% or more. Finally, CMOHOA reduced the average total cost by 7%　more in scheduling problems for information transmission

Key words: Task scheduling')">Task scheduling, Chebyshev chaos, Hybrid speed update strategy, Metaheuristic algorithms, The Hiking Optimization Algorithm (HOA)