Scandinavian Working Papers in Business Administration

CORAL Working Papers,
University of Aarhus, Aarhus School of Business, Department of Business Studies

No L-2006-11: A note on “Multicriteria adaptive paths in stochastic, time-varying networks”

Daniele Pretolani (), Lars Relund Nielsen () and Kim Allan Andersen ()
Additional contact information
Daniele Pretolani: Department of Sciences and Methods of Engineering, Postal: University of Modena and Reggio Emilia, Via Amendola 2, I-42100 Reggio Emilia, Italy
Lars Relund Nielsen: Research Unit of Statistics and Decision Analysis, Postal: DIAS, P.O. Box 50, DK-8830 Tjele, Denmark,
Kim Allan Andersen: Department of Business Studies, Aarhus School of Business, Postal: The Aarhus School of Business, Fuglesangs Allé 4, 8210 Aarhus V, Denmark

Abstract: In a recent paper, Opasanon and Miller-Hooks study multicriteria adaptive paths in

stochastic time-varying networks. They propose a label correcting algorithm for finding the full set of efficient strategies. In this note we show that their algorithm is not correct, since it is based on a property that does not hold in general. Opasanon and Miller-Hooks also propose an algorithm for solving a parametric problem. We give a simplified algorithm which is linear in the input size.

Keywords: Multiple objective programming; shortest paths; stochastic time-dependent networks; time-adaptive strategies

13 pages, November 17, 2006

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