Title
Project Scheduling in AND--OR Graphs: A Generalization of Dijkstra's Algorithm
Abstract
The paper considers a project scheduling problem in weighted directed graphs in which arcs represent operations while nodes are identified with starting and finishing endpoints of the operations; arc lengths represent operation durations. The graphs have two types of nodes---AND-nodes and OR-nodes. The problem is to find the earliest starting times for all operations. This problem generalizes the shortest path problem and the critical path problem. The complexity of the suggested algorithm is Op' p where p' is the number of arcs entering the AND-nodes and p is the total number of arcs.
Year
DOI
Venue
2002
10.1287/moor.27.3.504.311
Math. Oper. Res.
Keywords
DocType
Volume
project scheduling problem,arc length,critical path problem,polynomial algorithm,project scheduling,total number,operation duration,dijkstra's algorithm,algorithm iso,and-or graphs,and-nodes andp,shortest path problem
Journal
27
Issue
ISSN
Citations 
3
0364-765X
6
PageRank 
References 
Authors
0.65
6
2
Name
Order
Citations
PageRank
George M. Adelson-Velsky160.65
Eugene Levner246648.53