Stochastic Project Networks: Temporal Analysis, Scheduling and Cost Minimization

· Lecture Notes in Economics and Mathematical Systems Book 344 · Springer Science & Business Media
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237
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About this ebook

Project planning, scheduling, and control are regularly used in business and the service sector of an economy to accomplish outcomes with limited resources under critical time constraints. To aid in solving these problems, network-based planning methods have been developed that now exist in a wide variety of forms, cf. Elmaghraby (1977) and Moder et al. (1983). The so-called "classical" project networks, which are used in the network techniques CPM and PERT and which represent acyclic weighted directed graphs, are able to describe only projects whose evolution in time is uniquely specified in advance. Here every event of the project is realized exactly once during a single project execution and it is not possible to return to activities previously carried out (that is, no feedback is permitted). Many practical projects, however, do not meet those conditions. Consider, for example, a production process where some parts produced by a machine may be poorly manufactured. If an inspection shows that a part does not conform to certain specifications, it must be repaired or replaced by a new item. This means that we have to return to a preceding stage of the production process. In other words, there is feedback. Note that the result of the inspection is that a certain percentage of the parts tested do not conform. That is, there is a positive probability (strictly less than 1) that any part is defective.

About the author

Klaus Neumann is a historian based at Swinburne University¿s Institute for Social Research. His 2006 book In the Interest of National Security won the John and Patricia Ward History Prize, while his Refuge Australia: Australia¿s Humanitarian Record (2004) won the Australian Human Rights Commission¿s 2004 Human Rights Award for Non-Fiction.

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