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- 230 pages
- English
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- Available on iOS & Android
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About This Book
Originally published in 1986 and a major contribution towards improving operations within transportation systems, this book provides detailed coverage of the theory of transportation networks as a general traffic and transportation discipline. It examines some of the daily difficulties encountered by traffic and transportation experts, uncovering the intricacies of vehicle routing and scheduling, crew planning and facilities placement. This problem-solving approach uses multiple numerical examples and simple mathematical methods to enable newcomers to apply the book's solutions to the situations they encounter on the job.
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1 Shortest Paths in Transportation Networks
1.1. Introduction
A transportation network can be defined as a set of nodes and a set of branches on which transportation activities are carried out. These networks are encountered in all fields of traffic and transportation. Depending on the area of transportation involved, nodes can signify cities, street crossings, airports, train stations, quays, bus stations, freight terminals, etc. Nodes in a transportation network are linked by specific branches which can be denoted by streets, roads, air routes, railroad tracks or waterways. On all transportation networks requests arise in certain nodes to transport goods or passengers or to transmit certain information.
Infrastructural costs, costs related to providing transportation, and the level of service all basically depend on the transportation network’s design and on the organization of transportation on the network.
The theory of transportation networks as a general traffic and transportation discipline has been increasingly developed in the world in recent times and can make an essential contribution to improved operations of an entire transportation system. The application of existing theoretical models, modifying them and creating new ones can achieve considerable economic effects and improve the level of service.
1.2. Basic concepts behind the theory of transportation networks
Transportation networks are denoted in the same manner as graphs. Although the terms graph and network are used interchangeably, we make a distinction between them to the effect that graph denotes the structural relationship between nodes and network refers to a graph which has quantitative relationships between branches and nodes.
The symbols which specify transportation network G (N,A) designate a network containing a set of nodes denoted by N and a set of links between these nodes denoted by A. Links in the transportation network are often called branches. The notation (i,j) denotes the link or branch which connects node i∈N with node j∈N.
If all links or branches in the transportation network are oriented, the network is called an oriented network. In an oriented network, branch (i,j) leads ...
Table of contents
- Cover
- Half Title
- Title Page
- Copyright Page
- Original Title Page
- Original Copyright Page
- Table of Contents
- Introduction to the Series
- Preface
- 1 Shortest Paths in Transportation Networks
- 2 Transportation Network Flows
- 3 Vehicle Routing Problems on Networks
- 4 Determining Vehicle Depot Locations