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Task offloading provides a promising way to enhance the capability of themobile terminal (also called terminal user) that is distributed on network edgeand communicates edge clouds with wireless. Generally, there are multiple edgecloud nodes with distinct processing capability in a geographic area, which canoffer computing service for various terminal users. Furthermore, the terminalusers are competitive and selfish, i.e., each user takes into account onlymaximizing her own profit, while conducting task offloading strategies. In thispaper, we focus on the resource management optimization for edge clouds, andformulate the problem of resource competition among terminal users as anon-cooperative game, in which the terminal user who acts as the player alwayspursues the minimization of the expected response time for her tasks byoptimizing allocation strategies. We present the utility function of the userwith queuing theory, and then prove the existence of Nash equilibrium for theformulated game. Using the concept of Nash bargaining solution to calculate theoptimal task offloading scheme for the user, we propose a distributed taskoffloading algorithm with low computation complexity. The results of simulatedexperiments demonstrate that our method can quickly reach the Nash equilibriumpoint, and deliver satisfying performance at the expected response time of theuser's tasks.

Non-cooperative game approach for task offloading in edge clouds