There are three basic development strategies and a generic 'other' which defines the variations, combinations of the other three.
Grand design - is essentially a right-first-time approach;
Incremental - identifies user needs, defines system requirements and performs the remaining software development in a sequence of builds. The first build contains part of the planned capabilities and so on until the system is complete.
Evolutionary - Development in builds but differs from incremental in that the system requirements need not be defined up front, but refined in each succeeding build.
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