On the basis of a point kinetic model (adiabatic approximation), the explosion of fissionable pellets is analyzed. The needed kinetic parameters are derived from steady-state multigroup transport calculations. The effect of the reflectors is included not only in the critical mass determination but also in the kinetic behavior of the pellets through the effective lifetime. Although the hydrodynamic expansion is not considered, fuel burnup is taken into account to ascertain the time needed for maximum efficiency. This time is then compared to the disassembly time. A simple formalism is included that directly gives the microexplosion efficiency. Most of the numerical results are related to Li-D-reflected plutonium pellets. The ignition of the fission chain reactions is provided by fusion neutrons produced in the reflector, but the bootstrap mechanism between fission and fusion is not included.