In this paper we present an empirical study of the worldwide maritime transportation network (WMN) in which the nodes are ports and links are container liners connecting the ports. Using the different representation of network topology namely the space $L$ and $P$, we study the statistical properties of WMN including degree distribution, degree correlations, weight distribution, strength distribution, average shortest path length, line length distribution and centrality measures. We find that WMN is a small-world network with power law behavior. Important nodes are identified based on different centrality measures. Through analyzing weighted cluster coefficient and weighted average nearest neighbors degree, we reveal the hierarchy structure and "rich-club" phenomenon in the network.Comment: 10 pages, 11 figure

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I n this paper we propose an online shopping supply chain network model that includes manufacturers, e-tailers, express service providers, and consumers. Consumers purchase products from e-tailers that can be either delivered by the express service companies or picked up by the customers themselves at certain physical locations, depending on the consumers' preferences on time and cost. In addition, the express service companies can make investments to improve their service quality. We identify the network structure of the problem, derive the equilibrium conditions, and establish the finite-dimensional variational inequality formulation. Theoretical results and numerical examples are presented to provide some managerial insights of the model.

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In order to reduce the phenomena of long time queuing and congestion in large-scale crowds' activities, improve the visitors' satisfaction and increase social welfare, a multi-stage dynamic coordination model for large scale crowds' activities based on multi-agent is proposed and a coordination algorithm PCI is designed. Three types of basic coordination algorithms are tested by computer simulation, and the simulation results are used to discuss the basic characteristics of the problem. The results indicate that coordination algorithm PCI can reduce the congestion significantly and ensure better social welfare while meeting the real-time requirement.