In my view, fuses are far from being exactly specified, for the 383 series, this can be e.g. viewn from the minium 20 ms to maximum 150 ms trip time at 10*In. My statement about sufficient margin was already related to the variation range, as specified in the datasheet. So you shouldn't fear "nuisance tripping", I think. A way to achieve it though is switching the power fastly on and off.
Some fuse datasheets also have explicite mimimum-maximum time-current curves.
If you look at the 383 time-current curve, you derive that below about 100 ms, the fuse behaviour is mainly ruled by the thermal capacity of the fuse wire and melting integral ∫I²dt calculations have to be applied for current waveforms.
Clasical fuses are even worse, if you want a tightly specified guaranteed tripping at a certain overcurrent, allowing full rated current at the same time, e.g. for cable or transformer protection. This is almost impossible and usually demands for thermal circuit breakers or electronical fuses.