This paper summarizes my papers and books, which reports on studies concerning the performance measurement of SMS and/or Chat services, particularly on mobile networks. In detail, SMS and/or Chat service quality measurements are grouped into two, the first is a measurement that aims to measure the provider's customer satisfaction, performed by the provider for internal purposes, or to report to the regulator, and the second measurement goal is that the provider and/or by the vendor in relation to the quality assurance provided by the vendor to the provider. In detail, the first type of measurement uses a sampling technique with refer to the subjective method, otherwise, the second type performs aggregate measurements with refer to the Signaling Ladder Diagram of the SMS and/or Chat services.