Game-Based Competition Models between Bus Routes

AbstractCompetition behavior normally plays a role in bus network operations. As an example, transport operators can use overlapping routes to compete for passengers in order to maximize their profits, but they may employ insufficient efforts to analyze this behavior. In this paper, an operating profit–optimization model is first formulated for a single bus route to illustrate that competition between bus routes is important in bus networks. Then, taking bus headway as decision variable, perfect-competition and imperfect-competition models are formulated for two bus routes to maximize every route’s operating profit. Finally, the two competition models are used to conduct numerical case studies, in which increasing laws of operating profit are founded for each route in competition with the changing headway and departure strategy choices of two bus routes are analyzed using game theory and decision theory. The competition models proposed in this paper can be employed by public transport operators to generat...

[1]  Paul Schonfeld,et al.  Schedule Coordination in a Multiple Hub Transit Network , 2005 .

[2]  Avishai Ceder,et al.  Public Transit Planning and Operation: Theory, Modeling and Practice , 2007 .

[3]  A. Roumboutsos,et al.  A game theory approach to urban public transport integration policy , 2008 .

[4]  Jin Wen-zhou Research on Timetable Optimization Model for Transit Network in Cooperation and Competition , 2010 .

[5]  Hai Yang,et al.  A Game-Theoretic Analysis of Competition in a Deregulated Bus Market , 2005 .

[6]  Yuval Hadas,et al.  Public-transit frequency setting using minimum-cost approach with stochastic demand and travel time , 2012 .

[7]  Tian Qiong Optimization Models of Rush Hour Transit System Based on Cournot Behavioral Assumption , 2010 .

[8]  William H. K. Lam,et al.  THE GENERALIZED NASH EQUILIBRIUM MODEL FOR OLIGOPOLISTIC TRANSIT MARKET WITH ELASTIC DEMAND , 2005 .

[9]  Hai Yang,et al.  VALUE-OF-TIME DISTRIBUTIONS AND COMPETITIVE BUS SERVICES , 2001 .

[10]  Gao Zi-you Stackelberg Game Management Model of Public Transit , 2009 .

[11]  Wen-Quan Li,et al.  Bi-level Programming Model and Algorithm for Optimizing Headway of Public Transit Line , 2010 .

[12]  Bin Yu,et al.  Genetic Algorithm for Bus Frequency Optimization , 2010 .

[13]  Wang Ji Bi-level Programming Model and the Solution Algorithm for Urban Bus Departure Frequency Optimization , 2013 .

[14]  I. Savage The dynamics of fare and frequency choice in urban transit , 2010 .

[15]  W. Y. Szeto,et al.  Transit route and frequency design: Bi-level modeling and hybrid artificial bee colony algorithm approach , 2014 .

[16]  John Preston Competition in transit markets , 2008 .

[17]  W. Y. Szeto,et al.  A simultaneous bus route design and frequency setting problem for Tin Shui Wai, Hong Kong , 2011, Eur. J. Oper. Res..

[18]  Lourdes Zubieta,et al.  A network equilibrium model for oligopolistic competition in city bus services 1 1 This work was par , 1998 .