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

Esmaeil Akhondi-Bajegani, F. Jolai () and S. Ali Torabi
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Esmaeil Akhondi-Bajegani: University of Tehran
F. Jolai: University of Tehran
S. Ali Torabi: University of Tehran

Annals of Operations Research, 2024, vol. 340, issue 2, No 17, 1189-1220

Abstract: 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.

Keywords: Home health care; Network design; Possibilistic programming; Improved genetic algorithm (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s10479-024-06135-w

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