Value for money (VfM) is a widely used term but one with very broad definitions and very little empirical research on measuring it. We'd like to find anyting in that area including algorithms, metrics, key performance indicators, etc.
We are currently working to produce a paper describing a comprehensive procedure for measuring the VfM of PPPs. This approach will be only suited to major projects of transport infrastructur, as it is based on the analysis of intergenerational impact (IREM).
Penyalver, D., Turró, M., & Williamson, J. B. (2019). Measuring the value for money of transport infrastructure procurement; an intergenerational approach. Transportation Research Part A: Policy and Practice, 119, 238–254.
VfM is the optimum combination of lifecycle cost and quality (physical quality and service quality) under user requirements and a specified timeframe. According to this definition, the assessment used to examine VfM in PPP evaluations should be concerned with project lifecycle cost as well as quality within the framework of the user satisfaction and project schedule (Liu et al., 2014)
Liu, J., P. E. D. Love, P. R. Davis, J. Smith and M. Regan (2014) Conceptual Framework for the Performance Measurement of Public-Private Partnerships, Journal of Infrastructure Systems, ASCE, 21, 1-15.