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A two-stage heuristic approach for fleet management optimization under time-varying demand

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  • Zhang, Le
  • Gu, Weihua
  • Fu, Liangliang
  • Mei, Yu
  • Hu, Yaohua

Abstract

An efficient two-stage heuristic approach is developed for solving the fleet management problem under time-varying demand. Stage 1 of the approach optimizes the vehicles’ utilization schedule. Continuous-time approximation is employed to yield a set of near-optimality conditions that can greatly reduce the solution space of this stage. Stage 2 then optimizes the vehicle purchase and retirement schedules. Numerical experiments showed that our approach outperformed a number of previous methods and commercial solvers by large margins in terms of solution quality, computational efficiency, or both.

Suggested Citation

  • Zhang, Le & Gu, Weihua & Fu, Liangliang & Mei, Yu & Hu, Yaohua, 2021. "A two-stage heuristic approach for fleet management optimization under time-varying demand," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 147(C).
    • Handle: RePEc:eee:transe:v:147:y:2021:i:c:s1366554521000442
    DOI: 10.1016/j.tre.2021.102268
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    1. Redmer, Adam, 2009. "Optimisation of the exploitation period of individual vehicles in freight transportation companies," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 45(6), pages 978-987, November.
    2. Leung, Lawrence C. & Tanchoco, J. M. A., 1990. "Multiple machine replacement analysis," Engineering Costs and Production Economics, Elsevier, vol. 20(3), pages 265-275, December.
    3. Shields, Brett A. & Seif, Javad & Yu, Andrew Junfang, 2019. "Parallel machine replacement with shipping decisions," International Journal of Production Economics, Elsevier, vol. 218(C), pages 62-71.
    4. Nejat Karabakal & Jack R. Lohmann & James C. Bean, 1994. "Parallel Replacement under Capital Rationing Constraints," Management Science, INFORMS, vol. 40(3), pages 305-319, March.
    5. Ngo, Huan Hoang & Shah, Rohan & Mishra, Sabyasachee, 2018. "Optimal asset management strategies for mixed transit fleet," Transportation Research Part A: Policy and Practice, Elsevier, vol. 117(C), pages 103-116.
    6. Lee, Jinwoo & Madanat, Samer & Reger, Darren, 2016. "Pavement systems reconstruction and resurfacing policies for minimization of life‐cycle costs under greenhouse gas emissions constraints," Transportation Research Part B: Methodological, Elsevier, vol. 93(PA), pages 618-630.
    7. Suzanne Childress & Pablo Durango‐Cohen, 2005. "On parallel machine replacement problems with general replacement cost functions and stochastic deterioration," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(5), pages 409-419, August.
    8. Carolina Osorio & Michel Bierlaire, 2013. "A Simulation-Based Optimization Framework for Urban Transportation Problems," Operations Research, INFORMS, vol. 61(6), pages 1333-1345, December.
    9. İ. Esra Büyüktahtakın & Joseph C. Hartman, 2016. "A mixed-integer programming approach to the parallel replacement problem under technological change," International Journal of Production Research, Taylor & Francis Journals, vol. 54(3), pages 680-695, February.
    10. Zhang, Le & Fu, Liangliang & Gu, Weihua & Ouyang, Yanfeng & Hu, Yaohua, 2017. "A general iterative approach for the system-level joint optimization of pavement maintenance, rehabilitation, and reconstruction planning," Transportation Research Part B: Methodological, Elsevier, vol. 105(C), pages 378-400.
    11. Jin, Di & Kite-Powell, Hauke L., 2000. "Optimal fleet utilization and replacement," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 36(1), pages 3-20, March.
    12. Philip C. Jones & James L. Zydiak & Wallace J. Hopp, 1991. "Parallel machine replacement," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(3), pages 351-365, June.
    13. Tim McClurg & Suresh Chand, 2002. "A parallel machine replacement model," Naval Research Logistics (NRL), John Wiley & Sons, vol. 49(3), pages 275-287, April.
    14. Tsao, Yu-Chung & Lu, Jye-Chyi, 2012. "A supply chain network design considering transportation cost discounts," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(2), pages 401-414.
    15. Joseph C. Hartman & Chin Hon Tan, 2014. "Equipment Replacement Analysis: A Literature Review and Directions for Future Research," The Engineering Economist, Taylor & Francis Journals, vol. 59(2), pages 136-153, April.
    16. Wu, Peiling & Hartman, Joseph C. & Wilson, George R., 2003. "A demand-shifting feasibility algorithm for Benders decomposition," European Journal of Operational Research, Elsevier, vol. 148(3), pages 570-583, August.
    17. Lee, Jinwoo & Madanat, Samer, 2015. "A joint bottom-up solution methodology for system-level pavement rehabilitation and reconstruction," Transportation Research Part B: Methodological, Elsevier, vol. 78(C), pages 106-122.
    18. Wallace J. Hopp & Philip C. Jones & James L. Zydiak, 1993. "A further note on parallel machine replacement," Naval Research Logistics (NRL), John Wiley & Sons, vol. 40(4), pages 575-579, June.
    19. Guerrero, Sebastian E. & Madanat, Samer M. & Leachman, Robert C., 2013. "The Trucking Sector Optimization Model: A tool for predicting carrier and shipper responses to policies aiming to reduce GHG emissions," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 59(C), pages 85-107.
    20. Luis Rios & Nikolaos Sahinidis, 2013. "Derivative-free optimization: a review of algorithms and comparison of software implementations," Journal of Global Optimization, Springer, vol. 56(3), pages 1247-1293, July.
    21. Javad Seif & Brett A. Shields & Andrew Junfang Yu, 2019. "Parallel machine replacement under horizon uncertainty," The Engineering Economist, Taylor & Francis Journals, vol. 64(1), pages 1-23, January.
    22. Chen, Peng (Will) & Nie, Yu (Marco), 2018. "Optimal design of demand adaptive paired-line hybrid transit: Case of radial route structure," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 110(C), pages 71-89.
    23. List, George F. & Wood, Bryan & Nozick, Linda K. & Turnquist, Mark A. & Jones, Dean A. & Kjeldgaard, Edwin A. & Lawton, Craig R., 2003. "Robust optimization for fleet planning under uncertainty," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 39(3), pages 209-227, May.
    24. Jen Tang & Kwei Tang, 1993. "A note on parallel machine replacement," Naval Research Logistics (NRL), John Wiley & Sons, vol. 40(4), pages 569-573, June.
    25. Chen, Haoyu & Gu, Weihua & Cassidy, Michael J. & Daganzo, Carlos F., 2015. "Optimal transit service atop ring-radial and grid street networks: A continuum approximation design method and comparisons," Transportation Research Part B: Methodological, Elsevier, vol. 81(P3), pages 755-774.
    26. Hartman, Joseph C., 2004. "Multiple asset replacement analysis under variable utilization and stochastic demand," European Journal of Operational Research, Elsevier, vol. 159(1), pages 145-165, November.
    27. Stasko, Timon H. & Oliver Gao, H., 2012. "Developing green fleet management strategies: Repair/retrofit/replacement decisions under environmental regulation," Transportation Research Part A: Policy and Practice, Elsevier, vol. 46(8), pages 1216-1226.
    28. Peiling Wu & Joseph C. Hartman & George R. Wilson, 2005. "An Integrated Model and Solution Approach for Fleet Sizing with Heterogeneous Assets," Transportation Science, INFORMS, vol. 39(1), pages 87-103, February.
    29. İ. Esra Büyüktahtakın & J. Cole Smith & Joseph C. Hartman & Shangyuan Luo, 2014. "Parallel Asset Replacement Problem under Economies of Scale with Multiple Challengers," The Engineering Economist, Taylor & Francis Journals, vol. 59(4), pages 237-258, October.
    30. Emmanuel des-Bordes & İ. Esra Büyüktahtakın, 2017. "Optimizing capital investments under technological change and deterioration: A case study on MRI machine replacement," The Engineering Economist, Taylor & Francis Journals, vol. 62(2), pages 105-131, April.
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