Exact and Heuristic Algorithms for Rapid and Station Arrival-Time Guaranteed Bus Transportation via Lane Reservation

This paper addresses a new lane reservation problem called bus lane reservation problem (BLRP). The focus of the problem is on optimally selecting lanes to be reserved from an existing transport network and designing reserved lane-based bus paths, such that the rapid and station arrival-time guaranteed bus transit can be ensured, thereby achieving rapid and reliable bus transportation. However, once lanes are reserved, negative impact, such as an increase in travel time on adjacent non-reserved lanes may be caused. For this problem, an improved integer linear program is first formulated to minimize such negative impact. As the existing commercial solvers, e.g., CPLEX, can only solve small-size problems, we develop an exact enhanced cut-and-solve algorithm and an improved kernel search heuristic for solving medium- and large-size problems. Results of extensive numerical experiments confirm the effectiveness and efficiency of the proposed algorithms. In addition, a bi-objective robust BRLP is investigated to study the tradeoff between the negative impact of reserved lanes and the robustness of solution against the uncertainties in the link travel time and the bus dwell time.

[1]  Feng Chu,et al.  Large scale stochastic inventory routing problems with split delivery and service level constraints , 2012, Ann. Oper. Res..

[2]  Feng Chu,et al.  A cut-and-solve based algorithm for the single-source capacitated facility location problem , 2012, Eur. J. Oper. Res..

[3]  Haris N. Koutsopoulos,et al.  Impacts of Holding Control Strategies on Transit Performance , 2011 .

[4]  MengChu Zhou,et al.  Colored Traveling Salesman Problem , 2015, IEEE Transactions on Cybernetics.

[5]  Li Fu-qin,et al.  Modeling and solution of lane reservation problem with transportation task merging , 2014 .

[6]  David Pisinger,et al.  A general heuristic for vehicle routing problems , 2007, Comput. Oper. Res..

[7]  MengChu Zhou,et al.  Swarm Intelligence Approaches to Optimal Power Flow Problem With Distributed Generator Failures in Power Networks , 2013, IEEE Transactions on Automation Science and Engineering.

[8]  Amer Shalaby Simulating Performance Impacts of Bus Lanes and Supporting Measures , 1999 .

[9]  R L Pretty,et al.  BUS BOARDING RATES , 1988 .

[10]  J. Princeton,et al.  Impact of a Dedicated Lane on the Capacity and the Level of Service of an Urban Motorway , 2011 .

[11]  MengChu Zhou,et al.  Stochastic Modeling and Quality Evaluation of Infrastructure-as-a-Service Clouds , 2015, IEEE Transactions on Automation Science and Engineering.

[12]  Feng Chu,et al.  Lower and upper bounds for a two-stage capacitated facility location problem with handling costs , 2014, Eur. J. Oper. Res..

[13]  Lin Wei,et al.  Theory and Practice of Bus Lane Operation in Kunming , 2002 .

[14]  MengChu Zhou,et al.  An Improved Exact $\varepsilon$-Constraint and Cut-and-Solve Combined Method for Biobjective Robust Lane Reservation , 2015, IEEE Transactions on Intelligent Transportation Systems.

[15]  Weixiong Zhang,et al.  Cut-and-solve: An iterative search strategy for combinatorial optimization problems , 2006, Artif. Intell..

[16]  Lu Lu,et al.  Berth assignment planning for multi‐line bus stops , 2014 .

[17]  Thomas J. Cova,et al.  A network flow model for lane-based evacuation routing , 2003 .

[18]  Carlos F. Daganzo,et al.  A headway-based approach to eliminate bus bunching: Systematic analysis and comparisons , 2009 .

[19]  V. Thamizh Arasan,et al.  Influence of Bus Stops on Flow Characteristics of Mixed Traffic , 2005 .

[20]  D Choi,et al.  EFFECTS OF AN EXCLUSIVE BUS LANE FOR THE OVERSATURATED FREEWAY IN KOREA , 1995 .

[21]  L Pretty Robert,et al.  Bus boarding rates , 1988 .

[22]  Ning Zhu,et al.  Bus service time estimation model for a curbside bus stop , 2015 .

[23]  Emmanouil E. Zachariadis,et al.  A Hybrid Metaheuristic Algorithm for the Integrated Vehicle Routing and Three-Dimensional Container-Loading Problem , 2009, IEEE Transactions on Intelligent Transportation Systems.

[24]  BERNARD M. WAXMAN,et al.  Routing of multipoint connections , 1988, IEEE J. Sel. Areas Commun..

[25]  Feng Chu,et al.  Heuristic for lane reservation problem in time constrained transportation , 2009, 2009 IEEE International Conference on Automation Science and Engineering.

[26]  MengChu Zhou,et al.  An adaptive particle swarm optimization method based on clustering , 2015, Soft Comput..

[27]  MengChu Zhou,et al.  Stochastic Cost-Profit Tradeoff Model for Locating an Automotive Service Enterprise , 2015, IEEE Transactions on Automation Science and Engineering.

[28]  Lily Elefteriadou,et al.  New TRB Publication: Highway Capacity Manual 2010 , 2011 .

[29]  Feng Chu,et al.  The Capacitated Plant Location Problem with Customers and Suppliers Matching , 2010 .

[30]  Feng Chu,et al.  Mixed-integer Programming for a New Bus-lane Reservation Problem , 2015, 2015 IEEE 18th International Conference on Intelligent Transportation Systems.

[31]  Andrés L. Medaglia,et al.  Hybrid Algorithm for Route Design on Bus Rapid Transit Systems , 2015, Transp. Sci..

[32]  Wanjing Ma,et al.  Development and Evaluation of an Economic-Driving Assistance Program for Transit Vehicles , 2012 .

[33]  Efthymis Zagorianakos,et al.  Athens 2004 Olympic Games' Transportation Plan: a missed opportunity for Strategic Environmental Assessment (SEA) integration? , 2004 .

[34]  MengChu Zhou,et al.  Improved population-based incremental learning algorithm for vehicle routing problems with soft time windows , 2014, Proceedings of the 11th IEEE International Conference on Networking, Sensing and Control.

[35]  M. Zhou,et al.  Gaussian Classifier-Based Evolutionary Strategy for Multimodal Optimization , 2014, IEEE Transactions on Neural Networks and Learning Systems.

[36]  MengChu Zhou,et al.  Improved Quantum-Inspired Evolutionary Algorithm for Large-Size Lane Reservation , 2015, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[37]  Hedayat Z. Aashtiani,et al.  Application of Dwell Time Functions in Transit Assignment Model , 2002 .

[38]  Feng Chu,et al.  An optimal algorithm for automated truck freight transportation via lane reservation strategy , 2013 .

[39]  MuDer Jeng,et al.  Application of Petri Nets and Lagrangian Relaxation to Scheduling Automatic Material-Handling Vehicles in 300-mm Semiconductor Manufacturing , 2007, IEEE Transactions on Systems, Man, and Cybernetics, Part C (Applications and Reviews).

[40]  Per-Åke Andersson,et al.  A mathematical model of an urban bus route , 1981 .

[41]  MengChu Zhou,et al.  $\varepsilon$-Constraint and Fuzzy Logic-Based Optimization of Hazardous Material Transportation via Lane Reservation , 2013, IEEE Transactions on Intelligent Transportation Systems.

[42]  Feng Chu,et al.  A cut-and-solve-based algorithm for optimal lane reservation with dynamic link travel times , 2014 .

[43]  MengChu Zhou,et al.  Optimal Lane Reservation in Transportation Network , 2012, IEEE Transactions on Intelligent Transportation Systems.

[44]  Mark D. Hickman,et al.  An Analytic Stochastic Model for the Transit Vehicle Holding Problem , 2001, Transp. Sci..

[45]  David Branston,et al.  LINK CAPACITY FUNCTIONS: A REVIEW , 1976 .

[46]  MengChu Zhou,et al.  Vehicle Scheduling of an Urban Bus Line via an Improved Multiobjective Genetic Algorithm , 2015, IEEE Transactions on Intelligent Transportation Systems.

[47]  Feng Chu,et al.  A new model and hybrid approach for large scale inventory routing problems , 2008, Eur. J. Oper. Res..

[48]  Maria Grazia Speranza,et al.  Kernel search: A general heuristic for the multi-dimensional knapsack problem , 2010, Comput. Oper. Res..