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A Heuristic Algorithm to Find the Critical Path Minimizing the Maximal Regret  

Kang, Jun-Gyu (Department of Industrial and Management Engineering, Sungkyul University)
Yoon, Hyoup-Sang (Department of Management Information Systems, Catholic University of Daegu)
Publication Information
Journal of Korean Society of Industrial and Systems Engineering / v.34, no.3, 2011 , pp. 90-96 More about this Journal
Abstract
Finding the critical path (or the longest path) on acyclic directed graphs, which is well-known as PERT/CPM, the ambiguity of each acr's length can be modeled as a range or an interval, in which the actual length of arc may realize. In this case, the min-max regret criterion, which is widely used in the decision making under uncertainty, can be applied to find the critical path minimizing the maximum regret in the worst case. Since the min-max regret critical path problem with the interval arc's lengths is known as NP-hard, this paper proposes a heuristic algorithm to diminish the maximum regret. Then the computational experiments shows the proposed algorithm contributes to the improvement of solution compared with the existing heuristic algorithms.
Keywords
Min-max Regret; Interval Data; Robust Shortest Path;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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