6.5.4 linear Programming Formulation of (PM
A CPM problem can thought of as the opposite of the shortest-route problem (Section
6.3), in the sense that we are interested in finding the Longest route of a unit flow entering
at the start node and terminating at the finish node. We can thus apply the shortest
route LP formulation in Section 6.3.3 to CPM in the following manner. Define
Xij = Amount of flow in activity (i, j), for all defined i and j
Dij = Duration of activity (i, j), for all defined i and j
l1ms, the objective function of the linear program becomes