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A new mathematical model for designing and improving the performance of a home health care logistics network

Author

Listed:
  • Esmaeil Akhondi-Bajegani

    (University of Tehran)

  • F. Jolai

    (University of Tehran)

  • S. Ali Torabi

    (University of Tehran)

Abstract

To provide better care for the elderly, health trustees establish home health care centers in cities. These centers offer services at homes, and a logistics network is essential for providing these services. An integrated framework is developed to design such a network by which various logistical decisions are made under inherent epistemic uncertainty of the travel and service times. A new mixed integer linear programming model is developed, and its equivalent deterministic formulation is obtained using a well-applied possibilistic programming approach. An improved genetic algorithm is also devised to solve large-sized instances and various sensitivity analyses are performed on key factors. Finally, a case study is presented to validate the developed model and its solution method. The numerical results demonstrate 20% reduction in the total time of employing care givers at almost 3.5% cost savings.

Suggested Citation

  • Esmaeil Akhondi-Bajegani & F. Jolai & S. Ali Torabi, 2024. "A new mathematical model for designing and improving the performance of a home health care logistics network," Annals of Operations Research, Springer, vol. 340(2), pages 1189-1220, September.
    • Handle: RePEc:spr:annopr:v:340:y:2024:i:2:d:10.1007_s10479-024-06135-w
    DOI: 10.1007/s10479-024-06135-w
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    References listed on IDEAS

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    1. Naderi, Bahman & Begen, Mehmet A. & Zaric, Gregory S. & Roshanaei, Vahid, 2023. "A novel and efficient exact technique for integrated staffing, assignment, routing, and scheduling of home care services under uncertainty," Omega, Elsevier, vol. 116(C).
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