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A fluid queueing model for link travel time moments
Author(s) -
Kharoufeh Jeffrey P.,
Gautam Natarajan
Publication year - 2004
Publication title -
naval research logistics (nrl)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.665
H-Index - 68
eISSN - 1520-6750
pISSN - 0894-069X
DOI - 10.1002/nav.10114
Subject(s) - traverse , queue , link (geometry) , queueing theory , computer science , moment (physics) , travel time , mathematical optimization , mathematics , computer network , transport engineering , engineering , physics , geology , geodesy , classical mechanics
Abstract We analyze the moments of the random time required for a vehicle to traverse a transportation network link of arbitrary length when its speed is governed by a random environment. The problem is motivated by stochastic transportation network applications in which the estimation of travel time moments is of great importance. We analyze this random time in a transient and asymptotic sense by employing results from the field of fluid queues. The results are demonstrated on two example problems. © 2003 Wiley Periodicals, Inc. Naval Research Logistics, 2004