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Article: On the allocation of new lines in a competitive transit network with uncertain demand and scale economies

TitleOn the allocation of new lines in a competitive transit network with uncertain demand and scale economies
Authors
Keywords0-1 integer programming
Allocation of new lines
Auncertain demand
Competition
Confidence level
Issue Date2011
PublisherJohn Wiley & Sons, Inc.. The Journal's web site is located at http://www.advanced-transport.com
Citation
Journal of Advanced Transportation, 2011, v. 45 n. 4, p. 233-251 How to Cite?
AbstractThis paper proposes a new model for investigating the allocation of new lines in a competitive transit network in which transit operations are subject to demand uncertainty and scale economies. Scale economies imply that the operating cost of each operator per unit of transit line decreases with the number of lines operated. The proposed model explicitly considers the interactions among three types of players: transit authority, transit operators, and transit passengers. The transit authority aims to maximize the total social welfare for a given confidence level (or probabilistic guarantee) by optimizing the allocation of new lines tobidding operators. For a given allocation scheme, each of the operators determines the associated frequencies and fares to maximize its own profit at a certain confidence level while accounting for the responses of transit passengers to their strategies. The proposed line allocation model is formulated as a robust 0-1 integer programming problem that can be solved by an implicit enumeration algorithm. A numerical example is presented to illustrate the effects on the transit system of the allocation of new lines, the scale economies, the level of variation in passenger demand, and the risk attitude of transit operators toward uncertainty. Copyright © 2011 John Wiley & Sons, Ltd.
Persistent Identifierhttp://hdl.handle.net/10722/144521
ISSN
2015 Impact Factor: 1.292
2015 SCImago Journal Rankings: 0.911
ISI Accession Number ID
Funding AgencyGrant Number
Research Grants Council of the Hong Kong Special Administrative RegionPolyU 5290/09E
Research Committee of the Hong Kong Polytechnic UniversityG-YX1V
National Natural Science Foundation of China70971045
National Excellent Doctoral Dissertation (China)200963
Program for New Century Excellent Talents in University (China)NCET-10-0385
University Research Committee of the University of Hong Kong10400582/00002771
Funding Information:

The authors would like to thank two anonymous referees for their helpful comments and constructive suggestions on an earlier version of the manuscript. The work that is described in this paper was jointly supported by grants from the Research Grants Council of the Hong Kong Special Administrative Region (PolyU 5290/09E), the Research Committee of the Hong Kong Polytechnic University (G-YX1V), the National Natural Science Foundation of China (70971045), the Research Foundation for the Author of National Excellent Doctoral Dissertation (China) (200963), the Program for New Century Excellent Talents in University (China) (NCET-10-0385), and the University Research Committee of the University of Hong Kong (10400582/00002771).

References

 

DC FieldValueLanguage
dc.contributor.authorLi, ZCen_HK
dc.contributor.authorLam, WHKen_HK
dc.contributor.authorWong, SCen_HK
dc.date.accessioned2012-02-03T06:12:12Z-
dc.date.available2012-02-03T06:12:12Z-
dc.date.issued2011en_HK
dc.identifier.citationJournal of Advanced Transportation, 2011, v. 45 n. 4, p. 233-251en_HK
dc.identifier.issn0197-6729en_HK
dc.identifier.urihttp://hdl.handle.net/10722/144521-
dc.description.abstractThis paper proposes a new model for investigating the allocation of new lines in a competitive transit network in which transit operations are subject to demand uncertainty and scale economies. Scale economies imply that the operating cost of each operator per unit of transit line decreases with the number of lines operated. The proposed model explicitly considers the interactions among three types of players: transit authority, transit operators, and transit passengers. The transit authority aims to maximize the total social welfare for a given confidence level (or probabilistic guarantee) by optimizing the allocation of new lines tobidding operators. For a given allocation scheme, each of the operators determines the associated frequencies and fares to maximize its own profit at a certain confidence level while accounting for the responses of transit passengers to their strategies. The proposed line allocation model is formulated as a robust 0-1 integer programming problem that can be solved by an implicit enumeration algorithm. A numerical example is presented to illustrate the effects on the transit system of the allocation of new lines, the scale economies, the level of variation in passenger demand, and the risk attitude of transit operators toward uncertainty. Copyright © 2011 John Wiley & Sons, Ltd.en_HK
dc.languageengen_US
dc.publisherJohn Wiley & Sons, Inc.. The Journal's web site is located at http://www.advanced-transport.comen_HK
dc.relation.ispartofJournal of Advanced Transportationen_HK
dc.rightsJournal of Advanced Transportation. Copyright © John Wiley & Sons, Inc..-
dc.subject0-1 integer programmingen_HK
dc.subjectAllocation of new linesen_HK
dc.subjectAuncertain demanden_HK
dc.subjectCompetitionen_HK
dc.subjectConfidence levelen_HK
dc.titleOn the allocation of new lines in a competitive transit network with uncertain demand and scale economiesen_HK
dc.typeArticleen_HK
dc.identifier.emailLam, WHK: cehklam@polyu.edu.hken_HK
dc.identifier.emailWong, SC: hhecwsc@hku.hk-
dc.identifier.authorityWong, SC=rp00191en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1002/atr.155en_HK
dc.identifier.scopuseid_2-s2.0-83455214201en_HK
dc.identifier.hkuros198211en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-83455214201&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume45en_HK
dc.identifier.issue4en_HK
dc.identifier.spage233en_HK
dc.identifier.epage251en_HK
dc.identifier.isiWOS:000296417600002-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridLi, ZC=49663424900en_HK
dc.identifier.scopusauthoridLam, WHK=7203022024en_HK
dc.identifier.scopusauthoridWong, SC=24323361400en_HK

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