Vehicle Sharing Systems Pricing Optimization

One way Vehicle Sharing Systems (VSS), in which users pick-up and return a vehicle in different places is a new type of transportation system that presents many advantages. However, even if advertising promotes an image of flexibility and price accessibility, in reality customers might not find a vehicle at the original station (which may be considered as an infinite price), or worse, a parking spot at destination. Since the first Bike Sharing Systems (BSS), problems of vehicles and parking spots availability have appeared crucial. We define the system performance as the number of trips sold (to be maximized). BSS performance is currently improved by vehicle relocation with trucks. Our scope is to focus on self regulating systems through pricing incentives, avoiding physical station balancing. The question we are investigating in this thesis is the following: Can a management of the incentives increases significantly the performance of the vehicle sharing systems?

[1]  Constantinos Maglaras,et al.  Revenue Management for a Multiclass Single-Server Queue via a Fluid Model Analysis , 2006, Oper. Res..

[2]  I. E. Büyüktahtakin Dynamic Programming Via Linear Programming , 2011 .

[3]  Vânia Lúcia Dos Santos Eleutério Finding approximate solutions for large scale linear programs , 2009 .

[4]  Alexander Schrijver,et al.  Combinatorial optimization. Polyhedra and efficiency. , 2003 .

[5]  D. Bertsimas,et al.  A New Algorithm for State-Constrained Separated Continuous Linear Programs , 1999 .

[6]  Maria-Florina Balcan,et al.  Approximation Algorithms and Online Mechanisms for Item Pricing , 2007, Theory Comput..

[7]  Ann-Lee Wang,et al.  HOW MUCH CAN BE TAUGHT ABOUT STOCHASTIC PROCESSES AND TO WHOM , 2003 .

[8]  Simonetta Balsamo,et al.  Analysis of Queueing Networks with Blocking , 2010 .

[9]  Michael Mederer,et al.  Revenue management in the car rental industry: A stochastic programming approach , 2011 .

[10]  Gideon Weiss,et al.  A simplex based algorithm to solve separated continuous linear programs , 2008, Math. Program..

[11]  Li Feng,et al.  The complexity of recognizing linear systems with certain integrality properties , 2008, Math. Program..

[12]  Xianping Guo,et al.  Continuous-Time Markov Decision Processes: Theory and Applications , 2009 .

[13]  Jean-Philippe Gayon,et al.  Linear programming formulations for queueing control problems with action decomposability , 2012 .

[14]  Elise Miller-Hooks,et al.  Fleet Management for Vehicle Sharing Operations , 2011, Transp. Sci..

[15]  R. Weber,et al.  Optimal control of service rates in networks of queues , 1987, Advances in Applied Probability.

[16]  Nicole Bäuerle,et al.  Optimal control of queueing networks: an approach via fluid models , 2002, Advances in Applied Probability.

[17]  D. Papanikolaou The Market Economy of Trips , 2011 .

[18]  Michel Bierlaire,et al.  An analytic finite capacity queueing network model capturing the propagation of congestion and blocking , 2009, Eur. J. Oper. Res..

[19]  Vincent Jost,et al.  Vehicle Sharing System Pricing Regulation: A Fluid Approximation , 2012 .

[20]  Tal Raviv The battery switching station scheduling problem , 2012, Oper. Res. Lett..

[21]  David Gamarnik,et al.  Performance Analysis of Queueing Networks via Robust Optimization , 2010, Oper. Res..

[22]  Mihalis Yannakakis,et al.  On recognizing integer polyhedra , 1990, Comb..

[23]  Ta-Hui Yang,et al.  Strategic design of public bicycle sharing systems with service level constraints , 2011 .

[24]  Jean-Marie Boussier,et al.  Site selection for electric cars of a car-sharing service , 2009 .

[25]  Michel Bierlaire,et al.  A simulation-based optimization framework for urban traffic control , 2011 .

[26]  Prem Kumar,et al.  Optimizing Locations for a Vehicle Sharing System , 2012 .

[27]  V. V. Shenmaier,et al.  A greedy algorithm for some classes of integer programs , 2003, Discret. Appl. Math..

[28]  Dimitrios Efthymiou,et al.  Spatially Aware Model for Optimal Site Selection , 2012 .

[29]  Jeffrey P. Buzen,et al.  Computational algorithms for closed queueing networks with exponential servers , 1973, Commun. ACM.

[30]  Louis Anthony Cox,et al.  Wiley encyclopedia of operations research and management science , 2011 .

[31]  Richard M. Karp,et al.  Theoretical Improvements in Algorithmic Efficiency for Network Flow Problems , 1972, Combinatorial Optimization.

[32]  D. Bertsekas,et al.  Adaptive aggregation methods for infinite horizon dynamic programming , 1989 .

[33]  Martin L. Puterman,et al.  Markov Decision Processes: Discrete Stochastic Dynamic Programming , 1994 .

[34]  Frédéric Meunier,et al.  Bike sharing systems: Solving the static rebalancing problem , 2013, Discret. Optim..

[35]  Thomas Pradeau,et al.  Self-service bike sharing systems: simulation, repositioning, pricing , 2013 .

[36]  Dirk C. Mattfeld,et al.  Understanding Bike-Sharing Systems using Data Mining: Exploring Activity Patterns , 2011 .

[37]  Dimitri P. Bertsekas,et al.  Dynamic Programming and Optimal Control, Two Volume Set , 1995 .

[38]  Michael J. Neely,et al.  Delay and rate-optimal control in a multi-class priority queue with adjustable service rates , 2012, 2012 Proceedings IEEE INFOCOM.

[39]  C. Morency,et al.  Balancing a Dynamic Public Bike-Sharing System , 2012 .

[40]  John N. Tsitsiklis,et al.  Feature-based methods for large scale dynamic programming , 2004, Machine Learning.

[41]  G. Ryzin,et al.  Optimal dynamic pricing of inventories with stochastic demand over finite horizons , 1994 .

[42]  M. Geraghty,et al.  Revenue Management Saves National Car Rental , 1997 .

[43]  Constantine Caramanis,et al.  Theory and Applications of Robust Optimization , 2010, SIAM Rev..

[44]  Steven A. Lippman,et al.  Applying a New Device in the Optimization of Exponential Queuing Systems , 1975, Oper. Res..

[45]  Jeremy James McMahon,et al.  Time-dependence in Markovian decision processes. , 2008 .

[46]  Tal Raviv,et al.  Static repositioning in a bike-sharing system: models and solution approaches , 2013, EURO J. Transp. Logist..

[47]  Christine Fricker,et al.  Incentives and regulations in bike-sharing systems with stations of finite capacity , 2012 .

[48]  Lisa Fleischer,et al.  Efficient Algorithms for Separated Continuous Linear Programs: The Multicommodity Flow Problem with Holding Costs and Extensions , 2005, Math. Oper. Res..

[49]  A. S. Manne Linear Programming and Sequential Decisions , 1960 .

[50]  Christine Fricker,et al.  Mean field analysis for inhomogeneous bike sharing systems , 2012 .

[51]  N. Bäuerle Asymptotic optimality of tracking policies in stochastic networks , 2001 .

[52]  Catherine Morency,et al.  Insight into Montreal's Bikesharing System , 2011 .

[53]  William J. Carroll,et al.  Evolutionary Change in Product Management: Experiences in the Car Rental Industry , 1995 .

[54]  Vincent Jost,et al.  Vehicle Sharing System Optimization: Scenario-based approach , 2012 .

[55]  Ger Koole,et al.  Structural results for the control of queueing systems using event-based dynamic programming , 1998, Queueing Syst. Theory Appl..

[56]  E. Anderson,et al.  Some Properties of a Class of Continuous Linear Programs , 1983 .

[57]  R Bellman,et al.  Bottleneck Problems and Dynamic Programming. , 1953, Proceedings of the National Academy of Sciences of the United States of America.

[58]  E. Anderson,et al.  Linear programming in infinite-dimensional spaces : theory and applications , 1987 .

[59]  Daniel Chemla,et al.  Algorithms for optimizing shared mobility systems , 2012 .

[60]  Mark E. Lewis,et al.  Optimal Pricing and Admission Control in a Queueing System with Periodically Varying Parameters , 2004, Queueing Syst. Theory Appl..

[61]  K. Mani Chandy,et al.  Open, Closed, and Mixed Networks of Queues with Different Classes of Customers , 1975, JACM.

[62]  David S. Johnson,et al.  Computers and Intractability: A Guide to the Theory of NP-Completeness , 1978 .

[63]  Fikri Karaesmen,et al.  Dynamic pricing and scheduling in a multi-class single-server queueing system , 2011, Queueing Syst. Theory Appl..

[64]  Michael C. Fu,et al.  An Evolutionary Random Policy Search Algorithm for Solving Markov Decision Processes , 2007, INFORMS J. Comput..

[65]  Manfred Morari,et al.  Dynamic Vehicle Redistribution and Online Price Incentives in Shared Mobility Systems , 2013, IEEE Transactions on Intelligent Transportation Systems.

[66]  Daniel Kuhn,et al.  Polynomial Approximations for Continuous Linear Programs , 2012, SIAM J. Optim..

[67]  Sean P. Meyn Stability and optimization of queueing networks and their fluid models , 2003 .

[68]  Tracy Kimbrel,et al.  On Hardness of Pricing Items for Single-Minded Bidders , 2009, APPROX-RANDOM.

[69]  Costis Maglaras Dynamic Pricing Strategies for Multiproduct Revenue Management Problems , 2011 .

[70]  Carlo Filippi,et al.  Sensitivity Analysis in Linear Programming , 2011 .

[71]  Uri Zwick,et al.  A 7/8-approximation algorithm for MAX 3SAT? , 1997, Proceedings 38th Annual Symposium on Foundations of Computer Science.

[72]  Cathy H. Xia,et al.  Fleet-sizing and service availability for a vehicle rental system via closed queueing networks , 2011, Eur. J. Oper. Res..

[73]  Simon Washington,et al.  Barriers and facilitators to public bicycle scheme use : a qualitative approach , 2012 .

[74]  D. Shoup The High Cost of Free Parking , 1997 .

[75]  Yunan Liu Many-Server Queues with Time-Varying Arrivals, Customer Abandonment, and non-Exponential Distributions , 2011 .

[76]  Ulrich Wilhelm Thonemann,et al.  Capacity Rationing in Stochastic Rental Systems with Advance Demand Information , 2010, Oper. Res..

[77]  Venkatesan Guruswami,et al.  On profit-maximizing envy-free pricing , 2005, SODA '05.

[78]  Tal Raviv,et al.  Optimal inventory management of a bike-sharing station , 2013 .

[79]  Attila Pór,et al.  On 0-1 Polytopes with Many Facets , 2001 .

[80]  P. DeMaio Bike-sharing: History, Impacts, Models of Provision, and Future , 2009 .

[81]  P. Kolesar,et al.  The Pointwise Stationary Approximation for Queues with Nonstationary Arrivals , 1991 .

[82]  Giovanna Miglionico,et al.  Revenue management policies for the truck rental industry , 2012 .