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Pickup and Delivery Service with Manpower Planning in Hong Kong Public Hospitals

Author

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  • Andrew Lim

    (Department of Industrial and Systems Engineering, National University of Singapore, Singapore 117576; and International Center of Management Science and Engineering, School of Management and Engineering, Nanjing University, 210093 Nanjing, China)

  • Zhenzhen Zhang

    (Department of Management Sciences, City University of Hong Kong, Kowloon Tong, Hong Kong)

  • Hu Qin

    (School of Management, Huazhong University of Science and Technology, 430074 Wuhan, China)

Abstract

This paper deals with a real-life healthcare problem derived from the Non-Emergency Ambulance Transfer Service for Hong Kong public hospitals which provides transportation services for disabled or elderly patients between their residences and clinics. The problem is modeled as a multitrip pickup and delivery problem with time windows and manpower planning (MTPDPTW-MP) that not only needs to design and schedule ambulance routes satisfying a series of constraints but also requires staff scheduling. Because of the strict limits on route duration, each ambulance traverses several routes per day, which, starting and terminating at the depot, complete a series of pickup and delivery operations to serve the clients. A feasible route demands a driver and several assistants to serve the clients and needs to satisfy some constraints, such as capacity, pickup before delivery, time windows, etc. The objective is hierarchical in that it primarily serves as many clients as possible, then minimizes the operational cost, and finally strikes a balance for the staff workload. Theoretically, MTPDPTW-MP, which is a combination of two well known NP-hard problems (i.e., the pickup and delivery problem with time windows and the staff scheduling problem), is difficult to solve. In this study, we propose an iterated local search metaheuristic that uses a variable neighborhood descent procedure in the local search phase. We use a modified regret insertion method to construct solutions; a heuristic backtracking algorithm is designed to schedule staff. To speed up the process, we adapt the segment-based evaluation for moves and reduce the neighborhoods explored based on the characteristics of the problem. The effectiveness of the proposed algorithm was tested in real-world instances. Results showed that it can serve more requests than the manually designed plans. In addition, the performance of the proposed algorithm was evaluated on a simplified problem: the multitrip vehicle routing problem with time windows.

Suggested Citation

  • Andrew Lim & Zhenzhen Zhang & Hu Qin, 2017. "Pickup and Delivery Service with Manpower Planning in Hong Kong Public Hospitals," Transportation Science, INFORMS, vol. 51(2), pages 688-705, May.
    • Handle: RePEc:inm:ortrsc:v:51:y:2017:i:2:p:688-705
    DOI: 10.1287/trsc.2015.0611
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    1. Azi, Nabila & Gendreau, Michel & Potvin, Jean-Yves, 2010. "An exact algorithm for a vehicle routing problem with time windows and multiple use of vehicles," European Journal of Operational Research, Elsevier, vol. 202(3), pages 756-763, May.
    2. Gerardo Berbeglia & Jean-François Cordeau & Gilbert Laporte, 2012. "A Hybrid Tabu Search and Constraint Programming Algorithm for the Dynamic Dial-a-Ride Problem," INFORMS Journal on Computing, INFORMS, vol. 24(3), pages 343-355, August.
    3. J C S Brandão & A Mercer, 1998. "The multi-trip vehicle routing problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 49(8), pages 799-805, August.
    4. Stefan Ropke & David Pisinger, 2006. "An Adaptive Large Neighborhood Search Heuristic for the Pickup and Delivery Problem with Time Windows," Transportation Science, INFORMS, vol. 40(4), pages 455-472, November.
    5. Yanzhi Li & Andrew Lim & Brian Rodrigues, 2005. "Manpower allocation with time windows and job‐teaming constraints," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(4), pages 302-311, June.
    6. Van den Bergh, Jorne & Beliën, Jeroen & De Bruecker, Philippe & Demeulemeester, Erik & De Boeck, Liesje, 2013. "Personnel scheduling: A literature review," European Journal of Operational Research, Elsevier, vol. 226(3), pages 367-385.
    7. Asvin Goel & Thibaut Vidal, 2014. "Hours of Service Regulations in Road Freight Transport: An Optimization-Based International Assessment," Transportation Science, INFORMS, vol. 48(3), pages 391-412, August.
    8. Stefan Ropke & Jean-François Cordeau, 2009. "Branch and Cut and Price for the Pickup and Delivery Problem with Time Windows," Transportation Science, INFORMS, vol. 43(3), pages 267-286, August.
    9. Cheang, Brenda & Gao, Xiang & Lim, Andrew & Qin, Hu & Zhu, Wenbin, 2012. "Multiple pickup and delivery traveling salesman problem with last-in-first-out loading and distance constraints," European Journal of Operational Research, Elsevier, vol. 223(1), pages 60-75.
    10. R M Jorgensen & J Larsen & K B Bergvinsdottir, 2007. "Solving the Dial-a-Ride problem using genetic algorithms," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(10), pages 1321-1331, October.
    11. Irina Ioachim & Jacques Desrosiers & Yvan Dumas & Marius M. Solomon & Daniel Villeneuve, 1995. "A Request Clustering Algorithm for Door-to-Door Handicapped Transportation," Transportation Science, INFORMS, vol. 29(1), pages 63-78, February.
    12. Hemmelmayr, Vera C. & Doerner, Karl F. & Hartl, Richard F., 2009. "A variable neighborhood search heuristic for periodic routing problems," European Journal of Operational Research, Elsevier, vol. 195(3), pages 791-802, June.
    13. Brandao, Jose & Mercer, Alan, 1997. "A tabu search algorithm for the multi-trip vehicle routing and scheduling problem," European Journal of Operational Research, Elsevier, vol. 100(1), pages 180-191, July.
    14. Reinhardt, Line Blander & Clausen, Tommy & Pisinger, David, 2013. "Synchronized dial-a-ride transportation of disabled passengers at airports," European Journal of Operational Research, Elsevier, vol. 225(1), pages 106-117.
    15. Pierre Hansen & Nenad Mladenović & Jack Brimberg & José A. Moreno Pérez, 2010. "Variable Neighborhood Search," International Series in Operations Research & Management Science, in: Michel Gendreau & Jean-Yves Potvin (ed.), Handbook of Metaheuristics, chapter 0, pages 61-86, Springer.
    16. A. L. Kok & C. M. Meyer & H. Kopfer & J. M. J. Schutten, 2010. "A Dynamic Programming Heuristic for the Vehicle Routing Problem with Time Windows and European Community Social Legislation," Transportation Science, INFORMS, vol. 44(4), pages 442-454, November.
    17. Cordeau, Jean-François & Laporte, Gilbert, 2003. "A tabu search heuristic for the static multi-vehicle dial-a-ride problem," Transportation Research Part B: Methodological, Elsevier, vol. 37(6), pages 579-594, July.
    18. Oktay Günlük & Tracy Kimbrel & Laszlo Ladanyi & Baruch Schieber & Gregory B. Sorkin, 2006. "Vehicle Routing and Staffing for Sedan Service," Transportation Science, INFORMS, vol. 40(3), pages 313-326, August.
    19. Ernst, A. T. & Jiang, H. & Krishnamoorthy, M. & Sier, D., 2004. "Staff scheduling and rostering: A review of applications, methods and models," European Journal of Operational Research, Elsevier, vol. 153(1), pages 3-27, February.
    20. Roberto Baldacci & Enrico Bartolini & Aristide Mingozzi, 2011. "An Exact Algorithm for the Pickup and Delivery Problem with Time Windows," Operations Research, INFORMS, vol. 59(2), pages 414-426, April.
    21. Diana, Marco & Dessouky, Maged M., 2004. "A new regret insertion heuristic for solving large-scale dial-a-ride problems with time windows," Transportation Research Part B: Methodological, Elsevier, vol. 38(6), pages 539-557, July.
    22. Asvin Goel, 2009. "Vehicle Scheduling and Routing with Drivers' Working Hours," Transportation Science, INFORMS, vol. 43(1), pages 17-26, February.
    23. Asvin Goel, 2010. "Truck Driver Scheduling in the European Union," Transportation Science, INFORMS, vol. 44(4), pages 429-441, November.
    24. Potvin, Jean-Yves & Rousseau, Jean-Marc, 1993. "A parallel route building algorithm for the vehicle routing and scheduling problem with time windows," European Journal of Operational Research, Elsevier, vol. 66(3), pages 331-340, May.
    25. Asvin Goel & Leendert Kok, 2012. "Truck Driver Scheduling in the United States," Transportation Science, INFORMS, vol. 46(3), pages 317-326, August.
    26. Aristide Mingozzi & Roberto Roberti & Paolo Toth, 2013. "An Exact Algorithm for the Multitrip Vehicle Routing Problem," INFORMS Journal on Computing, INFORMS, vol. 25(2), pages 193-207, May.
    27. Vidal, Thibaut & Crainic, Teodor Gabriel & Gendreau, Michel & Prins, Christian, 2014. "A unified solution framework for multi-attribute vehicle routing problems," European Journal of Operational Research, Elsevier, vol. 234(3), pages 658-673.
    28. Eveborn, Patrik & Flisberg, Patrik & Ronnqvist, Mikael, 2006. "Laps Care--an operational system for staff planning of home care," European Journal of Operational Research, Elsevier, vol. 171(3), pages 962-976, June.
    29. Paolo Toth & Daniele Vigo, 1997. "Heuristic Algorithms for the Handicapped Persons Transportation Problem," Transportation Science, INFORMS, vol. 31(1), pages 60-71, February.
    30. Helena R. Lourenço & Olivier C. Martin & Thomas Stützle, 2010. "Iterated Local Search: Framework and Applications," International Series in Operations Research & Management Science, in: Michel Gendreau & Jean-Yves Potvin (ed.), Handbook of Metaheuristics, chapter 0, pages 363-397, Springer.
    31. Brucker, Peter & Qu, Rong & Burke, Edmund, 2011. "Personnel scheduling: Models and complexity," European Journal of Operational Research, Elsevier, vol. 210(3), pages 467-473, May.
    32. Azi, Nabila & Gendreau, Michel & Potvin, Jean-Yves, 2007. "An exact algorithm for a single-vehicle routing problem with time windows and multiple routes," European Journal of Operational Research, Elsevier, vol. 178(3), pages 755-766, May.
    33. A Lim & B Rodrigues & L Song, 2004. "Manpower allocation with time windows," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(11), pages 1178-1186, November.
    34. Jean-François Cordeau, 2006. "A Branch-and-Cut Algorithm for the Dial-a-Ride Problem," Operations Research, INFORMS, vol. 54(3), pages 573-586, June.
    35. Paquette, Julie & Cordeau, Jean-François & Laporte, Gilbert & Pascoal, Marta M.B., 2013. "Combining multicriteria analysis and tabu search for dial-a-ride problems," Transportation Research Part B: Methodological, Elsevier, vol. 52(C), pages 1-16.
    36. Cattaruzza, Diego & Absi, Nabil & Feillet, Dominique & Vidal, Thibaut, 2014. "A memetic algorithm for the Multi Trip Vehicle Routing Problem," European Journal of Operational Research, Elsevier, vol. 236(3), pages 833-848.
    37. Eric Prescott-Gagnon & Guy Desaulniers & Michael Drexl & Louis-Martin Rousseau, 2010. "European Driver Rules in Vehicle Routing with Time Windows," Transportation Science, INFORMS, vol. 44(4), pages 455-473, November.
    38. Kirchler, Dominik & Wolfler Calvo, Roberto, 2013. "A Granular Tabu Search algorithm for the Dial-a-Ride Problem," Transportation Research Part B: Methodological, Elsevier, vol. 56(C), pages 120-135.
    39. Marius M. Solomon, 1987. "Algorithms for the Vehicle Routing and Scheduling Problems with Time Window Constraints," Operations Research, INFORMS, vol. 35(2), pages 254-265, April.
    40. Jean-François Cordeau & Gilbert Laporte, 2007. "The dial-a-ride problem: models and algorithms," Annals of Operations Research, Springer, vol. 153(1), pages 29-46, September.
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