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Manpower allocation with time windows and job‐teaming constraints

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  • Yanzhi Li
  • Andrew Lim
  • Brian Rodrigues

Abstract

In this work, we study manpower allocation with time windows and job‐teaming constraints. A set of jobs at dispersed locations requires teams of different types of workers where each job must be carried out in a preestablished time window and requires a specific length of time for completion. A job is satisfied if the required composite team can be brought together at the job's location for the required duration within the job's time window. The objective is to minimize a weighted sum of the total number of workers and the total traveling time. We show that construction heuristics used with simulated annealing is a good approach to solving this NP‐hard problem. In experiments, this approach is compared with solutions found using CPLEX and with lower bounds obtained from a network flow model. © 2005 Wiley Periodicals, Inc. Naval Research Logistics, 2005.

Suggested Citation

  • 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.
  • Handle: RePEc:wly:navres:v:52:y:2005:i:4:p:302-311
    DOI: 10.1002/nav.20075
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    References listed on IDEAS

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    Cited by:

    1. 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.
    2. Guastaroba, G. & Côté, J.-F. & Coelho, L.C., 2021. "The Multi-Period Workforce Scheduling and Routing Problem," Omega, Elsevier, vol. 102(C).
    3. Andreas Hagn & Rainer Kolisch & Giacomo Dall'Olio & Stefan Weltge, 2024. "A Branch-Price-Cut-And-Switch Approach for Optimizing Team Formation and Routing for Airport Baggage Handling Tasks with Stochastic Travel Times," Papers 2405.20912, arXiv.org.
    4. Zhixing Luo & Hu Qin & Wenbin Zhu & Andrew Lim, 2016. "Branch‐and‐price‐and‐cut for the manpower routing problem with synchronization constraints," Naval Research Logistics (NRL), John Wiley & Sons, vol. 63(2), pages 138-171, March.
    5. Hossein Hashemi Doulabi & Gilles Pesant & Louis-Martin Rousseau, 2020. "Vehicle Routing Problems with Synchronized Visits and Stochastic Travel and Service Times: Applications in Healthcare," Transportation Science, INFORMS, vol. 54(4), pages 1053-1072, July.
    6. Li, Jiliu & Qin, Hu & Baldacci, Roberto & Zhu, Wenbin, 2020. "Branch-and-price-and-cut for the synchronized vehicle routing problem with split delivery, proportional service time and multiple time windows," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 140(C).
    7. Wang, Naiyu & Meng, Qiang & Zhang, Canrong, 2023. "A branch-price-and-cut algorithm for the local container drayage problem with controllable vehicle interference," Transportation Research Part B: Methodological, Elsevier, vol. 178(C).
    8. Michael Drexl, 2012. "Synchronization in Vehicle Routing---A Survey of VRPs with Multiple Synchronization Constraints," Transportation Science, INFORMS, vol. 46(3), pages 297-316, August.

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