Subproject A1 of the CRC 376 deals with the design, analysis, and experimental evaluation of parallel computation models and associated cost measures. These models and cost measures should on the one hand be accurate enough to predict the behaviour of real machines reasonably well, on the other hand they should be simple enough to support the design and theoretical analysis of parallel algorithms. In this paper we give a short overview of our work in subproject A1. As a main part we describe three topics related to our recent research on design, analysis, and realisation of parallel computing platforms based on the BSP paradigm. These contributions have in common that they present approaches to efficiently execute parallel algorithms in dynamically changing environments as they appear when idle times of the processors of a LAN, WAN or of the Internet have to be employed.