Get Project Scheduling under Resource Constraints: Efficient PDF

By Rainer Kolisch

ISBN-10: 3642502962

ISBN-13: 9783642502965

ISBN-10: 3790808296

ISBN-13: 9783790808292

This publication introduces the sphere of resource-constrained undertaking scheduling. state of the art studies of optimum and heuristic systems are supplied for classical undertaking scheduling versions. moreover, new types that are suitable for sensible challenge settings, are brought. the most emphasis is on newly built aggressive heuristic equipment.

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E. the average number of non-redundant arcs per node (including the super-source and -sink) and the tolerated network complexity deviation ENEI' is used. The network complexity has been introduced by Pascoe (1966) for AOA networks and adopted by Davis (1975) for the AON representation. 3): In step (1) the numbers of start-and finish-activities are drawn randomly from the interval [Slmin,Slmax] and [pj1Iin,pj1Iax], respectively. Then, the arcs which connect the dummy source with the start activities and the finish activities with the dummy sink are added to the network.

1 Resource Demand Generation The resource demand generation compromises two decisions to be made. First, the resources used or consumed by the activity-mode tuple U,m], 1 < j < J, 1 :$; m :$; Mj, have to be determined. Second, if an activity-mode tuple uses or consumes a resource, the number of units used or consumed has to be calculated. The first step it is referred to as request generation (cf Subsection I) while the latter is termed generation of demand-level (cf. Subsection 11). The number of resources of category by randomly drawing T, T E {R,N}, is determined ITI from the interval [r"'in, r"'GX].

R. t. 2). 3 the precedence relations of a project have been depicted as an acyclic AON graph. 1 (cf Neumann (1975, p. 33): Let G=(V,A) be a network with node set V and arc set A. Then, for every node v E V there is a directed path from the single source to v and a directed path from v to the single sink. That is, every node except of the sink (source) has at least one successor (predecessor). Therefore, the basic idea is as follows: First, determine one predecessor for each node, second, determine one successor for each node and then add further arcs.

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Project Scheduling under Resource Constraints: Efficient Heuristics for Several Problem Classes by Rainer Kolisch

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