Operations research in transportation systems. Ideas and schemes of optimization methods for strategic planning and operations management
type: Item
instance of: scholarly article
title: Operations research in transportation systems. Ideas and schemes of optimization methods for strategic planning and operations management
zbMATH Open document ID: 0949.90004
published in: Applied Optimization
publication date: 1998-11-08T00:00:00Z
review text: The book presents an overview of optimisation-based methods and theories that are of relevance when handling transportation-related problems, as well as transportation-specific methods and algorithms. Chapter 1 provides an overview of mathematical programming problems and solution methods with specific reference to linear progmmming, convex programming, nondifferential optimisation, and some special problem classes including generalised linear programming, parametric programming, piecewise linear programming, linear-fractional programming, monotone function minimisation, quadratic programming, geometric programming, multimodal problems, separable function and block programming. Chapter 2 provides an overview of discrete optimization problems including integer programming, mixed-variable problems and problems on graphs. Chapter 3 presents specific transportation-oriented optimisation problems including various types and variants of routing problems, network flow problems, a number of methods for scheduling problems, and transportation problems. Chapter 4 presents general optimisation methods for problems under uncertainty including stochastic progmmming, game theory, multicriteria optimization, and fuzzy optimisation. Chapter 5 presents an overview of problems and methods for optimal control of lumped-pammeter and distributed-parameter systems, of discrete-time systems, and of systems described by differential inclusions. Chapter 6 presents special methods of strategic planning and operations management in transportation systems including business games, simulation modeling, program-goal planning, and expert estimates. Finally, Chapter 7 includes a mathematical background for the book.
reviewed by: Markos Papageorgiou
Mathematics Subject Classification ID: 90B06
Mathematics Subject Classification ID: 90-02
Mathematics Subject Classification ID: 90C90
Mathematics Subject Classification ID: 90B50
zbMATH DE Number: 1220166
zbMATH Keywords: discrete optimization
zbMATH Keywords: routing
zbMATH Keywords: network flow
zbMATH Keywords: scheduling
zbMATH Keywords: transportation
zbMATH Keywords: stochastic progmmming
zbMATH Keywords: multicriteria optimization
zbMATH Keywords: fuzzy optimisation
zbMATH Keywords: optimal control
zbMATH Keywords: lumped-pammeter
zbMATH Keywords: distributed-parameter
zbMATH Keywords: discrete-time systems
zbMATH Keywords: differential inclusions
zbMATH Keywords: strategic planning
zbMATH Keywords: operations management
author: A. S. Belen'kij
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1220166