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Integrating Routing Decisions in Public Transportation Problems (Hardcover, 2014 ed.)
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Integrating Routing Decisions in Public Transportation Problems (Hardcover, 2014 ed.)
Series: Springer Optimization and Its Applications, 89
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This book treats three planning problems arising in public railway
transportation planning: line planning, timetabling, and delay
management, with the objective to minimize passengers' travel time.
While many optimization approaches simplify these problems by
assuming that passengers' route choice is independent of the
solution, this book focuses on models which take into account that
passengers will adapt their travel route to the implemented
planning solution. That is, a planning solution and passengers'
routes are determined and evaluated simultaneously. This work is
technically deep, with insightful finding regarding complexity and
algorithmic approaches to public transportation problems with
integrated passenger routing. It is intended for researchers in the
fields of mathematics, computer science, or operations research,
working in the field of public transportation from an optimization
standpoint. It is also ideal for students who want to gain
intuition and experience in doing complexity proofs and designing
polynomial-time algorithms for network problems. The book models
line planning, timetabling and delay management as combined design
and routing problems on networks. In a complexity analysis, the
border between NP-hard and polynomially solvable problems is
illustrated. Based on that, the insights gained are used to develop
solution approaches for the considered problems. Besides integer
programming formulations, a heuristic method iterating planning and
routing step is proposed to solve the problems.
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