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Use of bi-level optimization techniq...

Puchalsky, Christopher Martin.

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Use of bi-level optimization techniques for the problem of transit frequency determination: New formulation and solution techniques.

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Use of bi-level optimization techniques for the problem of transit frequency determination: New formulation and solution techniques./
作者:	Puchalsky, Christopher Martin.
面頁冊數:	148 p.
附註:	Adviser: Vukan Vuchic.
Contained By:	Dissertation Abstracts International68-07B.
標題:	Engineering, Civil. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3271801
ISBN:	9780549118787

Use of bi-level optimization techniques for the problem of transit frequency determination: New formulation and solution techniques.
Puchalsky, Christopher Martin.

Use of bi-level optimization techniques for the problem of transit frequency determination: New formulation and solution techniques. - 148 p.

Adviser: Vukan Vuchic.

Thesis (Ph.D.)--University of Pennsylvania, 2007.

There is a move by many North American transit agencies to attract more riders by offering higher frequencies on some lines. But there are currently no available operations research tools for choosing line frequencies across a transit network. The line frequency setting problem is complex with impacts on both system users and the system operator. A conceptual model of a transit agency as a passenger maximizing, budget balancing firm operating in a competitive marketplace is developed. This conceptual model is then translated into a bi-level mathematical model (program) for the determination of optimal line frequencies in a network. A solution algorithm for the continuous relaxation of the bi-level program using cutting-planes is developed. A fast algorithm using traffic assignment by paired alternative segments (TAPAS) is adapted and developed to allow fast, precise solutions of the combined user equilibrium mode split and assignment user model. Test results on the Sioux-Falls network show good convergence properties for the cutting planes method, while results from a network of Anaheim, CA, show the possibility of the methodology having significant impacts on improving ridership. The assignment and combined equilibrium models using TAPAS show a significant improvement over the dominant Frank-Wolfe and Evans algorithms, respectively. Formulations for a multi-time period model and branch-and-bound algorithm are also briefly presented.

ISBN: 9780549118787Subjects--Topical Terms:

783781
Engineering, Civil.

Use of bi-level optimization techniques for the problem of transit frequency determination: New formulation and solution techniques.
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502 $a Thesis (Ph.D.)--University of Pennsylvania, 2007.
520 $a There is a move by many North American transit agencies to attract more riders by offering higher frequencies on some lines. But there are currently no available operations research tools for choosing line frequencies across a transit network. The line frequency setting problem is complex with impacts on both system users and the system operator. A conceptual model of a transit agency as a passenger maximizing, budget balancing firm operating in a competitive marketplace is developed. This conceptual model is then translated into a bi-level mathematical model (program) for the determination of optimal line frequencies in a network. A solution algorithm for the continuous relaxation of the bi-level program using cutting-planes is developed. A fast algorithm using traffic assignment by paired alternative segments (TAPAS) is adapted and developed to allow fast, precise solutions of the combined user equilibrium mode split and assignment user model. Test results on the Sioux-Falls network show good convergence properties for the cutting planes method, while results from a network of Anaheim, CA, show the possibility of the methodology having significant impacts on improving ridership. The assignment and combined equilibrium models using TAPAS show a significant improvement over the dominant Frank-Wolfe and Evans algorithms, respectively. Formulations for a multi-time period model and branch-and-bound algorithm are also briefly presented.
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