The Service ORiented Computing EnviRonment (SORCER) targets service abstractions for transdisciplinary concurrent engineering with support for true service-oriented (SO) computing. SORCER's models are expressed in a top-down Var-oriented Modeling Language (VML) unified with programs in a bottom-up Exertion-Oriented Language (EOL). In this paper the basic concepts of mogramming are presented. On the one hand, modeling with service variables allows for computational fidelity within multiple types of evaluations. On the other hand, any combination of local and remote services can be described in EOL as a collaborative federation of engineering applications, tools, and utilities. An example of aircraft conceptual design application is given to illustrate how parametric models can participate in service-oriented engineering analyses.