The notion of the necessary criticality (both with respect to path and to activity) of a network with imprecisely defined (by means of intervals or fuzzy intervals) activity duration times is introduced and analyzed. It is shown, in the interval case, that both the problem of asserting whether a given path is necessarily critical and the problem of determining an arbitrary necessarily critical ...

In order to obtain an adequate description of risk aversion for insuring critical path problem, this paper develops a new class of two-stage minimum risk problems. The first-stage objective function is to minimize the probability of total costs exceeding a predetermined threshold value, while the secondstage objective function is to maximize the insured task durations. For general task duration...

The critical path method is one of the oldest and most important techniques used for planning scheduling projects. main objective project management science to determine through a network representation can be determined by many algorithms useful managing, monitoring, controlling time cost an entire project. essential problem in this case that activity durations are uncertain; presents consider...

Information systems development (ISD) work entails a series of problem solving activities and, therefore, knowing how to enhance problem solving competence is critical for project success. Since ISD is a knowledge intensive task, problem solving competence is largely determined whether the members can effectively utilize knowledge resources located within the team. Based on the transactive memo...

in the maximum flow network interdiction problem, an attacker attempts to minimize the maximum flow by interdicting flow on the arcs of network. in this paper, our focus is on the nodal interdiction for network instead of the arc interdiction. two path inequalities for the node-only interdiction problem are represented. it has been proved that the integrality gap of relaxation of the maximum fl...

In order to deal with imprecision inherent in the planning and scheduling of projects, various extensions of CPM (Critical Path Method) and PERT (Program Evaluation and Review Technique) have been proposed in the literature. The main aim of these studies has mainly been the application of Fuzzy Set Theory in the computation of activity start and completion dates, and consequently in the calcula...

Modern processors come close to executing as fast as true dependencies allow. The particular dependencies that constrain execution speed constitute the critical path of execution. To optimize the performance of the processor, we either have to reduce the critical path or execute it more efficiently. In both cases, it can be done more effectively if we know the actual path. This paper describes ...

The resource-constrained project scheduling problem is to find a schedule that minimizes the project duration subject to precedence relations and resource constraints. To further account for economic aspects of the project, one may add an objective of cash nature to the problem. In addition, dynamic nature and variations in real world are known to introduce uncertainties into data. Therefore, t...

resource limitation in zero time may cause to some profitable projects not to be selected in project selection problem, thus simultaneous project portfolio selection and scheduling problem has received significant attention. in this study, budget, investment costs and earnings are considered to be stochastic. the objectives are maximizing net present values of selected projects and minimizing v...