中文摘要：

为了解决加工时间可控条件下的并行机调度问题,设计了一种基于重复叫价组合拍卖的多主体调度机制.该机制将组合拍卖的一般形式与机器调度的建模技术相结合,将可控加工时间引入竞胜标模型,使生产资源得到更加有效的配置;在价格更新方法上,设计了一种基于次梯度的自适应价格更新机制,提高了拍卖的收敛速度.对该机制进行了仿真实验.结果表明,与传统的“刚性”加工时间的调度模型相比,该机制在提高资源拥有者收益的同时,使生产资源得到了更加充分的利用.

英文摘要：

To deal with parallel machine scheduling with controllable processing times,a multi-agent scheduling mechanism based on iterative combinatorial auction was designed.By combining the general form of combinatorial auction with the modeling technology of machine scheduling,the controllable processing times were introduced in a model of Winner Determination Problem （WDP） to achieve effective resource allocation.To accelerate the convergence of auction,an adaptive price updating mechanism based on sub-gradient method was designed.Simulation results showed that the proposed scheduling scheme outperformed the traditional mechanism with uncontrollable processing times by effectively enhancing the machine utilization level and the system revenue.