Scheduling project activities to maximise the net present value – the case of linear time-dependent cash flows

The problem of scheduling a project to maximize its Net Present Value has been solved recently for the case where the Net Cash Flows associated with the project's events are dependent on the time of the events realization. This paper models a special version of this problem – we assume that net cash flows are linear functions of the events realization time. Analysis of these linear functions reveals special properties of this problem which we exploit to develop an effective, optimal soluton.