Review of the Literature Related to the Considered RDOPG Applications

In the literature review, research on dynamic routing problems which covers aspects relevant for RDOPG applications is examined. The major focus is on describing approaches which provide an increased flexibility for integrating newly arriving requests during the execution of the transportation process. Some of the first papers on dynamic routing problems in the literature are introduced and selected reactive real-time control approaches for dynamic routing problems are described. Furthermore, strategies for increasing flexibility in dynamic routing problems which can be found in the literature are presented. The main part of this literature review describes solution approaches which provide flexibility in dynamic routing. In this description, solution approaches are distinguished according to whether they utilize stochastic knowledge or not. Since the objective function in the considered RDOPG applications differs from many other approaches of dynamic routing, special attention is also given to approaches in the literature which utilize related objective functions. After that, approaches in the literature that cover other relevant factors for RDOPG applications are presented.

[1]  D. Kendall Stochastic Processes Occurring in the Theory of Queues and their Analysis by the Method of the Imbedded Markov Chain , 1953 .

[2]  J. Papastavrou A stochastic and dynamic routing policy using branching processes with state dependent immigration , 1996 .

[3]  Hanna Grzybowska,et al.  Vehicle Routing And Scheduling Models, Simulation And City Logistics , 2007 .

[4]  Sven Oliver Krumke,et al.  Real-Time Dispatching of Guided and Unguided Automobile Service Units with Soft Time Windows , 2002, ESA.

[5]  Lawrence Bodin,et al.  Optimizing Single Vehicle Many-to-Many Operations with Desired Delivery Times: I. Scheduling , 1985, Transp. Sci..

[6]  Vinícius Amaral Armentano,et al.  Adaptive granular local search heuristic for a dynamic vehicle routing problem , 2009, Comput. Oper. Res..

[7]  Sandy Irani,et al.  On-Line Algorithms for the Dynamic Traveling Repair Problem , 2002, SODA '02.

[8]  Robert H. Storer,et al.  An approximate dynamic programming approach for the vehicle routing problem with stochastic demands , 2009, Eur. J. Oper. Res..

[9]  Paolo Toth,et al.  The Vehicle Routing Problem , 2002, SIAM monographs on discrete mathematics and applications.

[10]  Jano I. van Hemert,et al.  Dynamic Routing Problems with Fruitful Regions: Models and Evolutionary Computation , 2004, PPSN.

[11]  Marius M. Solomon,et al.  Partially dynamic vehicle routing—models and algorithms , 2002, J. Oper. Res. Soc..

[12]  Maarten H. van der Vlerk,et al.  Stochastic integer programming:General models and algorithms , 1999, Ann. Oper. Res..

[13]  Donald J Dailey,et al.  A PRESCRIPTION FOR TRANSIT ARRIVAL/DEPARTURE PREDICTION USING AUTOMATIC VEHICLE LOCATION DATA , 2003 .

[14]  Jason D. Papastavrou,et al.  A stochastic and dynamic model for the single-vehicle pick-up and delivery problem , 1999, Eur. J. Oper. Res..

[15]  H. Tijms A First Course in Stochastic Models , 2003 .

[16]  Gilbert Laporte,et al.  The dial-a-ride problem: models and algorithms , 2006, Ann. Oper. Res..

[17]  Gilbert Laporte,et al.  Waiting strategies for the dynamic pickup and delivery problem with time windows , 2004 .

[18]  Gilbert Laporte,et al.  Chapter 7 Transportation on Demand , 2007, Transportation.

[19]  Steve McLaughlin,et al.  IEEE 61st Vehicular Technology Conference (VTC 2005 Spring) , 2005 .

[20]  Allan Larsen,et al.  The Dynamic Vehicle Routing Problem , 2000 .

[21]  G. Laporte,et al.  Transportation Demand , 2019, Energy: Supply and Demand.

[22]  Sven Oliver Krumke,et al.  Online Dial-a-Ride Problems: Minimizing the Completion Time , 2000, STACS.

[23]  Cristián E. Cortés,et al.  Hybrid adaptive predictive control for a dynamic pickup and delivery problem including traffic congestion , 2008 .

[24]  George M. Giaglis,et al.  Minimizing logistics risk through real‐time vehicle routing and mobile technologies: Research to date and future trends , 2004 .

[25]  Cristián E. Cortés,et al.  Hybrid adaptive predictive control for the multi-vehicle dynamic pick-up and delivery problem based on genetic algorithms and fuzzy clustering , 2008, Comput. Oper. Res..

[26]  George L. Nemhauser,et al.  Handbooks in operations research and management science , 1989 .

[27]  Kjetil Fagerholt Evaluating the trade-off between the level of customer service and transportation costs in a ship scheduling problem , 2000 .

[28]  Hani S. Mahmassani,et al.  IMPROVING EFFICIENCY OF COMMERCIAL VEHICLE OPERATIONS USING REAL-TIME INFORMATION: POTENTIAL USES AND ASSIGNMENT STRATEGIES , 1995 .

[29]  Averill M. Law,et al.  Simulation Modeling and Analysis , 1982 .

[30]  Robert Givan,et al.  On-line Scheduling via Sampling , 2000, AIPS.

[31]  R Séguin,et al.  Real-time decision problems: an operational research perspective , 1997 .

[32]  Warren B. Powell,et al.  A Stochastic Formulation of the Dynamic Assignment Problem, with an Application to Truckload Motor Carriers , 1996, Transp. Sci..

[33]  Russell Bent,et al.  Scenario-Based Planning for Partially Dynamic Vehicle Routing with Stochastic Customers , 2004, Oper. Res..

[34]  Jan Fabian Ehmke,et al.  Data chain management for planning in city logistics , 2009, Int. J. Data Min. Model. Manag..

[35]  Kamlesh Mathur,et al.  Stochastic Vehicle Routing Problem with Restocking , 2000, Transp. Sci..

[36]  Russell Bent,et al.  Sub-optimality Approximations , 2005, CP.

[37]  Michel Gendreau,et al.  Neighborhood Search Heuristics for a Dynamic Vehicle Dispatching Problem with Pick-ups and Deliveries , 2006 .

[38]  Jacques Desrosiers,et al.  Technical Note - Optimizing the Schedule for a Fixed Vehicle Path with Convex Inconvenience Costs , 1989, Transp. Sci..

[39]  Russell Bent,et al.  Waiting and Relocation Strategies in Online Stochastic Vehicle Routing , 2007, IJCAI.

[40]  Martin W. P. Savelsbergh,et al.  The Vehicle Routing Problem with Time Windows: Minimizing Route Duration , 1992, INFORMS J. Comput..

[41]  Bruce L. Golden,et al.  The vehicle routing problem : latest advances and new challenges , 2008 .

[42]  Russell Bent,et al.  Regrets Only! Online Stochastic Optimization under Time Constraints , 2004, AAAI.

[43]  Warren B. Powell,et al.  What you should know about approximate dynamic programming , 2009, Naval Research Logistics (NRL).

[44]  Ali Haghani,et al.  Real-Time Emergency Response Fleet Deployment: Concepts, Systems, Simulation & Case Studies , 2007 .

[45]  George M. Giaglis,et al.  A Dynamic Real-Time Vehicle Routing System for Distribution Operations , 2005 .

[46]  Dimitris Bertsimas,et al.  A Stochastic and Dynamic Vehicle Routing Problem in the Euclidean Plane , 1991, Oper. Res..

[47]  Gianpaolo Ghiani,et al.  Anticipatory algorithms for same-day courier dispatching , 2009 .

[48]  Burak Eksioglu,et al.  The vehicle routing problem: A taxonomic review , 2009, Comput. Ind. Eng..

[49]  Russell Bent,et al.  Online stochastic optimization under time constraints , 2005, Ann. Oper. Res..

[50]  Nasser A. El-Sherbeny,et al.  Vehicle routing with time windows: An overview of exact, heuristic and metaheuristic methods , 2010 .

[51]  Christos D. Tarantilis,et al.  Dynamic Vehicle Routing Problems , 2014, Vehicle Routing.

[52]  Michel Gendreau,et al.  Exploiting Knowledge About Future Demands for Real-Time Vehicle Dispatching , 2006, Transp. Sci..

[53]  Peter Sanders,et al.  Combining Hierarchical and Goal-Directed Speed-Up Techniques for Dijkstra's Algorithm , 2008, WEA.

[54]  Humberto Cesar Brandao de Oliveira,et al.  A vehicular waiting time heuristic for dynamic vehicle routing problem , 2008, SAC '08.

[55]  Teodor Gabriel Crainic,et al.  Fleet management and logistics , 1998 .

[56]  Kjetil Fagerholt,et al.  Ship scheduling with soft time windows: An optimisation based approach , 2001, Eur. J. Oper. Res..

[57]  Jens J. Dahlgaard,et al.  On measurement of customer satisfaction , 1992 .

[58]  Rui Xu,et al.  Survey of clustering algorithms , 2005, IEEE Transactions on Neural Networks.

[59]  Jacques Desrosiers,et al.  Chapter 2 Time constrained routing and scheduling , 1995 .

[60]  Christos D. Tarantilis,et al.  Dynamic Fleet Management , 2007 .

[61]  Jürgen Branke,et al.  Waiting Strategies for Dynamic Vehicle Routing , 2005, Transp. Sci..

[62]  Russell Bent,et al.  A Two-Stage Hybrid Local Search for the Vehicle Routing Problem with Time Windows , 2004, Transp. Sci..

[63]  Warren B. Powell,et al.  A COMPARATIVE REVIEW OF ALTERNATIVE ALGORITHMS FOR THE DYNAMIC VEHICLE ALLOCATION PROBLEM , 1988 .

[64]  Rajeev Raman,et al.  Algorithms — ESA 2002 , 2002, Lecture Notes in Computer Science.

[65]  Cristián E. Cortés,et al.  Hybrid Adaptive Predictive Control for a Dynamic Pickup and Delivery Problem , 2009, Transp. Sci..

[66]  Michel Gendreau,et al.  DYNAMIC VEHICLE ROUTING AND DISPATCHING , 1998 .

[67]  Gilbert Laporte,et al.  A branch-and-regret heuristic for stochastic and dynamic vehicle routing problems , 2007 .

[68]  Christos D. Tarantilis,et al.  Combination of geographical information system and efficient routing algorithms for real life distribution operations , 2004, Eur. J. Oper. Res..

[69]  Bernhard Fleischmann,et al.  Dynamic Vehicle Routing Based on Online Traffic Information , 2004, Transp. Sci..

[70]  Richard C. Larson,et al.  Urban Operations Research , 1981 .

[71]  Mi Friswell,et al.  17th IFAC World Congress , 2008 .

[72]  Michel Gendreau,et al.  Planned Route Optimization For Real-Time Vehicle Routing , 2007 .

[73]  Averill Law,et al.  Simulation Modeling and Analysis (McGraw-Hill Series in Industrial Engineering and Management) , 2006 .

[74]  Jian Yang,et al.  Real-Time Multivehicle Truckload Pickup and Delivery Problems , 2004, Transp. Sci..

[75]  Christelle Guéret,et al.  Dynamic Vehicle Routing Problems: State of the art and Prospects , 2011 .

[76]  Stefan Bock,et al.  Production , Manufacturing and Logistics Real-time control of freight forwarder transportation networks by integrating multimodal transport chains , 2009 .

[77]  Michel Gendreau,et al.  Diversion Issues in Real-Time Vehicle Dispatching , 2000, Transp. Sci..

[78]  Marius M. Solomon,et al.  The A Priori Dynamic Traveling Salesman Problem with Time Windows , 2004, Transp. Sci..

[79]  Joris van de Klundert,et al.  ASAP: The After-Salesman Problem , 2010, Manuf. Serv. Oper. Manag..

[80]  Michael J. Maggard,et al.  An analysis of customer satisfaction with waiting times in a two-stage service process , 1990 .

[81]  Warren B. Powell,et al.  An Adaptive Dynamic Programming Algorithm for Dynamic Fleet Management, I: Single Period Travel Times , 2002, Transp. Sci..

[82]  M. C. Bonney,et al.  Simulation and Analysis of Industrial Systems , 1971 .

[83]  Nicola Secomandi,et al.  Reoptimization Approaches for the Vehicle-Routing Problem with Stochastic Demands , 2009, Oper. Res..

[84]  Dimitris Bertsimas,et al.  Stochastic and Dynamic Vehicle Routing in the Euclidean Plane with Multiple Capacitated Vehicles , 1993, Oper. Res..

[85]  Harilaos N. Psaraftis,et al.  A Dynamic Programming Solution to the Single Vehicle Many-to-Many Immediate Request Dial-a-Ride Problem , 1980 .

[86]  André Langevin,et al.  Logistics systems : design and optimization , 2005 .

[87]  Emrah Uyar Routing in stochastic environments , 2008 .

[88]  Marius M. Solomon,et al.  Classification Of Dynamic Vehicle Routing Systems , 2007 .

[89]  Barrett W. Thomas Waiting Strategies for Anticipating Service Requests from Known Customer Locations , 2007, Transp. Sci..

[90]  Bruce L. Golden,et al.  VEHICLE ROUTING: METHODS AND STUDIES , 1988 .

[91]  Gilbert Laporte,et al.  STOCHASTIC VEHICLE ROUTING. , 1996 .

[92]  Gilbert Laporte,et al.  Solving a Dynamic and Stochastic Vehicle Routing Problem with a Sample Scenario Hedging Heuristic , 2006, Transp. Sci..

[93]  Andreas Richter Dynamische Tourenplanung - Modifikation von klassischen Heuristiken für das Dynamische Rundreiseproblem (DTSP) und das Dynamische Tourenplanungsproblem (DVRP) mit der Möglichkeit der Änderung des aktuellen Fahrzeugzuges , 2005 .

[94]  Petros A. Ioannou,et al.  Real-Time Estimation of Travel Times Along the Arcs and Arrival Times at the Nodes of Dynamic Stochastic Networks , 2008, IEEE Transactions on Intelligent Transportation Systems.

[95]  Gianpaolo Ghiani,et al.  A Comparison of Anticipatory Algorithms for the Dynamic and Stochastic Traveling Salesman Problem , 2012, Transp. Sci..

[96]  Roberto Musmanno,et al.  Real-time vehicle routing: Solution concepts, algorithms and parallel computing strategies , 2003, Eur. J. Oper. Res..

[97]  Jan Fabian Ehmke,et al.  Floating Car Data Based Analysis of Urban Travel Times for the Provision of Traffic Quality , 2010 .

[98]  Warren B. Powell,et al.  “Approximate dynamic programming: Solving the curses of dimensionality” by Warren B. Powell , 2007, Wiley Series in Probability and Statistics.

[99]  Russell Bent,et al.  Online Stochastic Optimization Without Distributions , 2005, ICAPS.

[100]  Michel Gendreau,et al.  A PARALLEL TABU SEARCH HEURISTIC FOR THE VEHICLE ROUTING PROBLEM WITH TIME WINDOWS , 1997 .

[101]  Warren B. Powell,et al.  Approximate Dynamic Programming - Solving the Curses of Dimensionality , 2007 .

[102]  William T. Ziemba,et al.  Applications of Stochastic Programming , 2005 .

[103]  Gilbert Laporte,et al.  The vehicle routing problem: An overview of exact and approximate algorithms , 1992 .

[104]  Paolo Toth,et al.  Recent advances in vehicle routing exact algorithms , 2007, 4OR.

[105]  W. Ames Mathematics in Science and Engineering , 1999 .

[106]  Michel Gendreau,et al.  New Heuristics for the Vehicle Routing Problem , 2005 .

[107]  Michel Gendreau,et al.  A dynamic model and parallel tabu search heuristic for real-time ambulance relocation , 2001, Parallel Comput..

[108]  Warren B. Powell,et al.  Stochastic and dynamic networks and routing , 1995 .

[109]  Russell Bent,et al.  Online stochastic combinatorial optimization , 2006 .

[110]  Marius M. Solomon,et al.  Recent Developments in Dynamic Vehicle Routing Systems , 2008 .

[111]  Verena Schmid,et al.  Solving the dynamic ambulance relocation and dispatching problem using approximate dynamic programming , 2012, Eur. J. Oper. Res..

[112]  Dominik Schultes,et al.  Route Planning in Road Networks , 2008 .

[113]  G.M. Giaglis,et al.  A dynamic real-timefleet management system for incident handling in city logistics , 2005, 2005 IEEE 61st Vehicular Technology Conference.

[114]  Gianpaolo Ghiani,et al.  Real-Time Fleet Management At Ecourier Ltd , 2007 .

[115]  Jacques Desrosiers,et al.  Time Constrained Routing and Scheduling , 1992 .

[116]  Gilbert Laporte,et al.  The Dial-a-Ride Problem (DARP): Variants, modeling issues and algorithms , 2003, 4OR.

[117]  Ilias N. Tziavos,et al.  Applications of GPS technology in the land transportation system , 2004, Eur. J. Oper. Res..

[118]  Gilbert Laporte,et al.  Double-horizon based heuristics for the dynamic pickup and delivery problem with time windows , 2004 .

[119]  Thomas R. Sexton,et al.  Pickup and Delivery of Partial Loads with “Soft” Time Windows , 1986 .

[120]  Michel Gendreau,et al.  Parallel Tabu Search for Real-Time Vehicle Routing and Dispatching , 1999, Transp. Sci..

[121]  Henk C. Tijms,et al.  A First Course in Stochastic Models: Tijms/Stochastic Models , 2003 .

[122]  Harilaos N. Psaraftis,et al.  Dynamic vehicle routing: Status and prospects , 1995, Ann. Oper. Res..

[123]  Austin Tate,et al.  Proceedings of the Nineteenth National Conference on Artificial Intelligence, Sixteenth Conference on Innovative Applications of Artificial Intelligence, July 25-29, 2004, San Jose, California, USA , 2004, AAAI 2004.

[124]  Hani S. Mahmassani,et al.  Evaluation of Dynamic Fleet Management Systems: Simulation Framework , 1998 .

[125]  Mwp Martin Savelsbergh,et al.  VEHICLE ROUTING WITH TIME WINDOWS: OPTIMIZATION AND APPROXIMATION. VEHICLE ROUTING: METHOD AND STUDIES. STUDIES IN MANAGEMENT SCIENCE AND SYSTEMS - VOLUME 16 , 1987 .

[126]  Sven Oliver Krumke,et al.  Pruning in column generation for service vehicle dispatching , 2008, Ann. Oper. Res..

[127]  G. A. Mihram,et al.  Simulation: Statistical Foundations and Methodology. , 1974 .

[128]  Jaume Barceló,et al.  Traffic Data Collection and Its Standardization , 2010 .

[129]  Peter van Beek,et al.  Principles and Practice of Constraint Programming - CP 2005, 11th International Conference, CP 2005, Sitges, Spain, October 1-5, 2005, Proceedings , 2005, CP.

[130]  Gilbert Laporte,et al.  Waiting and Buffering Strategies for the Dynamic Pickup and Delivery Problem with Time Windows , 2008, INFOR Inf. Syst. Oper. Res..

[131]  Louis M. Dalberto,et al.  Improving the Distribution of Industrial Gases with an On-Line Computerized Routing and Scheduling Optimizer , 1983 .

[132]  Warren B. Powell,et al.  Approximate Dynamic Programming: Solving the Curses of Dimensionality (Wiley Series in Probability and Statistics) , 2007 .

[133]  Gilbert Laporte,et al.  Dynamic pickup and delivery problems , 2010, Eur. J. Oper. Res..

[134]  D. Bertsimas,et al.  Stochastic and dynamic vehicle routing with general demand and interarrival time distributions , 1993, Advances in Applied Probability.

[135]  Cristián E. Cortés,et al.  Hybrid Predictive Control for the Vehicle Dynamic Routing Problem Based on Evolutionary Multiobjecti , 2008 .

[136]  Chelsea C. White,et al.  Anticipatory Route Selection , 2004, Transp. Sci..