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critical path-ANALYSIS AND RESOURCE CONSTRAINED PROJECT SCHEDULING - THEORY AND PRACTICE

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH 1985年第2期21卷 149-155页

作者： WILLIS, RJ MONASH UNIV CLAYTONVIC 3168AUSTRALIA

critical path techniques have been in documented use since the mid 1950's and are now widely used in most aspects of project planning and control. Interest in this area in recent years has been mainly concerned with making the best use of scarce resources throughout the duration of a project and a considerable amount of work has been undertaken in this area by both theorists and practitioners in project management. There is still however an apparent gap between the published theoretical work and the requirements of project schedulers and managers in the field and this paper briefly describes the different approaches taken, how they differ and suggests where future effort may be directed. [ABSTRACT FROM AUTHOR]

关键词： computers critical path programming Project management resource allocation scheduling

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AN UPPER BOUND ON THE EXPECTED COMPLETION-TIME OF PERT NETWORKS

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EUROPEAN JOURNAL OF OPERATIONAL RESEARCH 1985年第2期21卷 206-212页

作者： KAMBUROWSKI, J Institute of Organization and Management Technical University of Wroclaw 50-370 Wroclaw Wybrzeze Wyspianskiego 27 Poland

In this paper the problem of determining ah upper bound on the expected project completion time, described by the PERT network, is considered, It is assumed that activity durations are independent random variables with given means. The exact forms of probability distributions do not have to be known; however, their cumulative distribution functions are expected to belong to the so-called NBUE class. Very simple algorithms for deriving this bound are presented. The computations can even be performed manually for more involved networks. Our approach producing a pessimistic evaluation of the expected value of the project duration, extends considerably the information obtained through the use of the classical PERT that always underestimates this value. The results are illustrated by a simple example, and errors of approximations are discussed. [ABSTRACT FROM AUTHOR]

关键词： critical path programming networks programming

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THE CHANCE CONSTRAINED critical path WITH LOCATION SCALE DISTRIBUTIONS

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EUROPEAN JOURNAL OF OPERATIONAL RESEARCH 1984年第3期18卷 359-363页

作者： KRESS, M CEMA HAIFAISRAEL

The Chance Constrained critical path (CCCP) generally depends on the preassigned minimum probability level. It is shown that for a wide class of probability distributions there always exists a probability value for which the CCCP remains unchanged for all probabilities greater than or equal to that value. This probability value is easily obtained from an optimal solution of a simple network problem. In addition, necessary and sufficient conditions for the CCCP to be unconditionally independent of the minimum probability level are given for that class of probability distributions.

关键词： critical path programming probabilistic programming

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Project management with time, cost, and quality considerations

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EUROPEAN JOURNAL OF OPERATIONAL RESEARCH 1996年第2期88卷 320-327页

作者： Babu, AJG Suresh, N UNIV WISCONSIN EAU CLAIREWI 54702

In the project management literature, quantitative models were developed for project crashing to determine the appropriate activities for crashing at minimal cost. In this paper, we suggest that the project quality may be affected by project crashing and develop linear programming models to study the tradeoffs among time, cost, and quality. Each of the three models developed optimizes one of these entities by assigning desired bounds on the other two. An illustrative example with a project network consisting of 13 nodes, 14 activities, and 2 dummy activities is provided. The computational study includes tabulation of the interrelationships among time, cost, and quality.

关键词： project management resource allocation optimization critical path programming linear programming

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