Abstract. This paper considers the problem of scheduling a set of independent tasks with multiple QoS requirements, which may include timeliness, reliability, security, version, and priority, in a Grid computing system in which resource prices can vary with time during scheduling time intervals. This problem is referred to as the QoS-based scheduling problem with time-varying resource prices. In order to solve this problem, a static scheduling algorithm (QSMTS VP) is developed. The simulation studies carried out show that QSMTS VP is capable of meeting diverse QoS requirements of many users simultaneously and that QSMTS VP can react to the dynamics of the market. Thus, QSMTS VP is a promising heuristic that can be deployed in a computational market.