This paper proposes a multiple query optimization (MQO) scheme for change point detection (CPD) that can significantly reduce the number of operators needed. CPD is used to detect anomalies in time series data but requires tuning parameters, which leads to running multiple CPDs with different parameters. The paper identifies four patterns for sharing CPD operators between queries based on whether parameter values are the same. Experiments show the proposed MQO approach reduces the number of operators by up to 80% compared to running each CPD independently, thus improving performance. Integrating MQO with hardware accelerators is suggested as future work.