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Cloud computing is a natural evolution for data and compute centers with automated systems management, workload balancing, and virtualization technologies. Cloud-based services integrate globally distributed resources into seamless computing platforms. In an open cloud computing framework, scheduling tasks with guaranteeing QoS constrains presents a challenging technical problem. This paper presents a game theoretic method to schedule dependent computational cloud computing services with time and cost constrained. An evolutionary mechanism is designed to fairly and approximately solve the NP-hard scheduling problem.