This paper aims at advancing the relative strength of limited-preemptive schedulers by improving the feasibility of a task set and simultaneously limiting, or even precluding, arbitrary preemptions. In particular, we present a refinement of existing limited-preemptive fixed-priority scheduling (FPS) schemes with preemption thresholds for preemption points next to preemption thresholds for sub-jobs, termed fixed-priority scheduling with varying preemption thresholds (FPVS). We derive exact schedulability analysis for FPVS and we develop algorithms to maximize the schedulability of a set of sporadic tasks for given priorities. Since FPVS generalizes existing FPS schemes, we apply our algorithms to those schemes to compare the ratio of schedul...