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Mathematical Problems in Engineering
Volume 2013, Article ID 879472, 5 pages
http://dx.doi.org/10.1155/2013/879472
Research Article

Delivery Time Reliability Model of Logistics Network

1School of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China
2Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, China

Received 17 January 2013; Accepted 14 March 2013

Academic Editor: Engang Tian

Copyright © 2013 Liusan Wu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Natural disasters like earthquake and flood will surely destroy the existing traffic network, usually accompanied by delivery delay or even network collapse. A logistics-network-related delivery time reliability model defined by a shortest-time entropy is proposed as a means to estimate the actual delivery time reliability. The less the entropy is, the stronger the delivery time reliability remains, and vice versa. The shortest delivery time is computed separately based on two different assumptions. If a path is concerned without capacity restriction, the shortest delivery time is positively related to the length of the shortest path, and if a path is concerned with capacity restriction, a minimax programming model is built to figure up the shortest delivery time. Finally, an example is utilized to confirm the validity and practicality of the proposed approach.