Stochastic Project Networks: "Temporal Analysis, Scheduling And Cost Minimization": 344 (Lecture Notes in Economics and Mathematical Systems) - Softcover

Neumann, Klaus

 
9783540526643: Stochastic Project Networks: "Temporal Analysis, Scheduling And Cost Minimization": 344 (Lecture Notes in Economics and Mathematical Systems)
Softcover
ISBN 10: 3540526641 ISBN 13: 9783540526643
Verlag: Springer, 2013

Inhaltsangabe

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.

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Reseña del editor

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.

Reseña del editor

This book presents the state of the art of temporal analysis and cost minimization of projects, as well as project planning under limited resources where the projects are modelled by GERT networks. These projects are characterized by a stochastic evolution structure and possible feedback. The temporal analysis exploits the fact that Markov renewal processes can be associated with so-called EOR networks (special GERT networks all of whose nodes have exclusive-or entrance). For single-machine min-sum and min-max scheduling problems with EOR precedence constraints, two polynomial algorithms are presented. General min-sum problems are solved by dynamic programming. The cost minimization of projects modeled by EOR networks leads to Markov renewal decision processes and can be reduced to a stochastic dynamic programming problem. Basic concepts from the theory of graphs and networks, Markov renewal processes, deterministic scheduling, and dynamic programming are summarized. This makes the book self-contained.

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Verlag
Springer
Erscheinungsdatum
2013
Sprache
Englisch
ISBN 10 
3540526641
ISBN 13 
9783540526643
Einband
Tapa blanda
Anzahl der Seiten
260
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
CMN Printpool Inh. Mathis Neumann
https://www.also.com/ec/cms5/en_6000/6000/index.jsp

Friedrich-Karl-Str. 9
Hamburg
Deutschland

Weitere beliebte Ausgaben desselben Titels

9780387526645: Stochastic Project Networks: Temporal Analysis, Scheduling and Cost Minimization (Lecture Notes in Economics & Mathematical Systems)

Vorgestellte Ausgabe

ISBN 10:  0387526641 ISBN 13:  9780387526645
Softcover