Based on military transportation network, the stochastic transportation network optimization problem is studied. The military transportation is an activity that realizes the displacement of military personnel and equipment materials in different space transportation lines through various transportation tools. Its aim is to guarantee the successful realization of military intentions [1-3]. And the network definition is a complex composed of fixed technical equipments in a certain space, such as several different transportation lines and military hubs [4-5]. In the military stochastic transportation network, weights of nodes and arcs are nondeterministic in time. They are also diversified in parameters and stochastic in information. Nowadays, due to abruptness of modern wars and rapid supply and transportation of security materials, the transportation network gradually steps into a large-scale, highly-complex and fast-changing state. All these demand for a military transportation network in the adaptability, transportation speed and the capacity against destructions. With the wide application of various systems, such as the intelligent transportation system, computer network, communication system, global positioning system (GPS), geographic information system (GIS) and artificial intelligent system, and the further development of modern network theory and technology, the stochastic transportation network has some new features [6-8]. And it results in new problems hard to resolve through traditional optimization models and algorithms. Therefore, this book tries to make a comprehensive study on these problems from the aspects of theoretical methodology and practical application.
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