Titlebook: Mathematical Programming and Financial Objectives for Scheduling Projects; Alf Kimms Book 2001 Springer Science+Business Media New York 20

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Central Problemows. Under the assumption of a perfectly competitive capital market, the net present value (NPV) of a project represents its value best and a positive net present value indicates that the project should be performed.

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Resource-Constrained Scheduling that have to be taken into account. Unfortunately, things become much more complex, if resource constraints come in as well. We consider here renewable resources. To illustrate the problem, consider an example as provided in Figure 4.1 which has already been used previously (compare Figure 3.1). Ag

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Network Decomposition have mentioned that the new aspect that comes in, if we add resource constraints to the central problem, is that we have to find a partial order of the activities that augments the partial order defined by the precedence constraints. By having this insight, it seems promising to explore the use of

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Relaxation of Resource Constraintsoblem could be handled well. This is exactly the case in our situation, because the central problem of maximizing the net present value of a project without resource constraints can be solved in polynomial time, but the resource-constrained problem is .-hard. So, a straightforward idea to get an upp

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Budget Eliminationo the problem. What we do is to eliminate the budget .. for each period . in the following way. Define a specific project, without loss of generality we assume that this is project . = 0, as follows (see Figure 9.1).

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Optimization Guided Scheduling Ire is the scheduling aspect of the problem which has nothing more to take into account than the precedence constraints among the activities. On the other hand, there is the aspect of providing resources which is a trivial problem for a given schedule. Because of this, it seems promising to split the

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