To design performant, expressive, and reliable cyber-physical systems (CPSs), researchers extensively perform quasi-static scheduling for concurrent models of computation (MoCs) on multi-core hardware. However, these quasi-static scheduling approaches are developed independently for their corresponding MoCs, despite commonality in the approaches. To help generalize the use of quasi-static scheduling to new and emerging MoCs, this article proposes a unified approach for a class of deterministic timed concurrent models (DTCMs), including prominent models such as synchronous dataflow (SDF), Boolean-controlled dataflow (BDF), scenario-aware dataflow (SADF), and Logical Execution Time (LET). In contrast to scheduling techniques tailored exclusively to specific MoCs, our unified approach leverages a common intermediate formalism called state space finite automata (SSFA), bridging the gap between high-level MoCs and executable schedules. Once identified as DTCMs, new MoCs can directly adopt SSFA-based scheduling, significantly easing adoption. We show that quasi-static schedules facilitated by SSFA are provably free from timing anomalies and enable straightforward worst-case makespan analysis. We demonstrate the approach using the reactor model—an emerging discrete-event MoC—programmed using the Lingua Franca (LF) language. Experiments show that quasi-statically scheduled LF programs exhibit lower runtime overhead compared to the dynamically scheduled LF programs, and that the analyzable worst-case makespans enable compile-time deadline checking.