Tabu Search with Variable Neighborhood Search Algorithm for Home Healthcare Routing Problem for Multiple Hospitals with Balanced Workload
Year 2023,
, 135 - 150, 30.09.2023
Gülçin Dinç Yalçın
,
Tuğçe Yavuz
,
Şüheda Altıntaş
Abstract
In this paper, we study home healthcare routing and scheduling problem where multiple hospitals serve patients. In the public hospitals in healthcare system of Türkiye, patients requiring home healthcare are assigned to the hospital that serves their place of residence. This can cause the workload of hospitals to become unbalanced in terms of the time needed for both traveling and operation. The aim of this paper is to generate routes with a balanced workload for hospitals, giving consideration to the time windows of patients and the working hours of health workers. Firstly, we construct a mathematical model which can solve toy and small-scale problems whilst taking into account the importance of a balanced workload. Then, a Tabu Search with a Variable Neighborhood Search (TS-VNS) algorithm is developed to solve large-scale problems. The performance of the TS-VNS algorithm is tested by comparing the results of the mathematical model with the generated test problems at a small scale. Additionally, large-scale test problems from the literature are sourced for the problem and solved by the TS-VNS algorithm. The results demonstrate the efficiency of the TS-VNS algorithm.
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Year 2023,
, 135 - 150, 30.09.2023
Gülçin Dinç Yalçın
,
Tuğçe Yavuz
,
Şüheda Altıntaş
References
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- [18] S. Bahadori-Chinibelagh, A. M. Fathollahi-Fard, and M. Hajiaghaei-Keshteli, “Two constructive algorithms to address a multi-depot home healthcare routing problem”, IETE Journal of Research, vol. 68, no. 2, pp. 1108–1114, Mar. 2022, doi: 10.1080/03772063.2019.1642802.
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- [23] S. Frifita, M. Masmoudi, and J. Euchi, “General variable neighborhood search for home healthcare routing and scheduling problem with time windows and synchronized visits”, Electronic Notes in Discrete Mathematics, vol. 58, pp. 63–70, Apr. 2017, doi: 10.1016/j.endm.2017.03.009.
- [24] S. Lan, W. Fan, S. Yang, P. M. Pardalos and, N. Mladenovic, “A survey on the applications of variable neighborhood search algorithm in healthcare management”, Annals of Mathematics and Artificial Intelligence, vol. 89, no. 8, pp. 741-775, 2021, doi: 10.1007/s10472-021-09727-5.
- [25] E. Rahimian, K. Akartunalı, J. Levine, “A hybrid integer programming and variable neighbourhood search algorithm to solve nurse rostering problems”, Eur J Oper Res, vol. 258, no. 2, pp. 411–423, April 2017, doi: https://doi.org/10.1016/j.ejor.2016.09.030
- [26] S. Riazi, O. Wigström, K. Bengtsson, and B. Lennartson, “Decomposition and distributed algorithms for home healthcare routing and scheduling problem”, in 2017 22nd IEEE International Conference on Emerging Technologies and Factory Automation (ETFA), Sep. 2017, pp. 1–7. doi: 10.1109/ETFA.2017.8247622.
- [27] S. Riazi, O. Wigström, K. Bengtsson, and B. Lennartson, “A column generation-based gossip algorithm for home healthcare routing and scheduling problems”, IEEE Transactions on Automation Science and Engineering, vol. 16, no. 1, pp. 127–137, Jan. 2019, doi: 10.1109/TASE.2018.2874392.
- [28] S. E. Moussavi, M. Mahdjoub, and O. Grunder, “A matheuristic approach to the integration of worker assignment and vehicle routing problems: Application to home healthcare scheduling”, Expert Systems with Applications, vol. 125, pp. 317–332, Jul. 2019, doi: 10.1016/j.eswa.2019.02.009.
- [29] F. Grenouilleau, A. Legrain, N. Lahrichi, and L.-M. Rousseau, “A set partitioning heuristic for the home health care routing and scheduling problem”, European Journal of Operational Research, vol. 275, no. 1, pp. 295–303, May 2019, doi: 10.1016/j.ejor.2018.11.025.
- [30] F. Grenouilleau, N. Lahrichi, and L.-M. Rousseau, “New decomposition methods for home care scheduling with predefined visits”, Computers & Operations Research, vol. 115, p. 104855, Mar. 2020, doi: 10.1016/j.cor.2019.104855.
- [31] S. Shahnejat-Bushehri, R. Tavakkoli-Moghaddam, M. Boronoos, and A. Ghasemkhani, “A robust home health care routing-scheduling problem with temporal dependencies under uncertainty”, Expert Syst Appl, vol. 182, no. 115209, November 2021, doi: https://doi.org/10.1016/j.eswa.2021.115209
- [32] L. Dekhici, R. Redjem, K. Belkadi, and A. Mhamedi, “Discretization of the firefly algorithm for home care”, Can J Electr Comput Eng, vol. 42, no. 1, pp. 20–26, 2016.
- [33] M. R. Hassani, and J. Behnamian, “A scenario-based robust optimization with a pessimistic approach for nurse rostering problem”, J Comb Optim, vol. 41, no. 1, pp. 143–169, November 2021, doi: https://doi.org/10.1007/s10878-020-00667-0
- [34] M. S. Rasmussen, T. Justesen, A. Dohn, and J. Larsen, “The home care crew scheduling problem: Preference-based visit clustering and temporal dependencies”, European Journal of Operational Research, vol. 219, no. 3, pp. 598–610, Jun. 2012, doi: 10.1016/j.ejor.2011.10.048.
- [35] S. Nickel, M. Schröder, and J. Steeg, “Mid-term and short-term planning support for home health care services”, European Journal of Operational Research, vol. 219, pp. 574-587, Jun. 2012, doi: https://doi.org/10.1016/j.ejor.2011.10.042 .
- [36] D. S. Mankowska, F. Meisel, and C. Bierwirth, “The home health care routing and scheduling problem with interdependent services”, Health Care Management Science, vol. 17, pp. 15-30, 2014, doi: https://doi.org/10.1007/s10729-013-9243-1 .
- [37] K. Braekers, R. F. Hartl, S. N. Parragh, and, F. Tricoire, “A bi-objective home care scheduling problem: Analyzing the trade-off between costs and client inconvenience”, European Journal of Operational Research, vol. 248, no. 2, pp. 428-443, 2016, doi: 10.1016/j.ejor.2015.07.028
- [38] A. Hertz and N. Lahrichi, “A patient assignment algorithm for home care services”, Journal of the Operational Research Society, vol. 60, no. 4, pp. 481-495, 2009, doi: https://doi.org/10.1057/palgrave.jors.2602574
- [39] S. Yalçındağ, A. Matta, E. Şahin, and J. G. Shanthikumar, “The patient assignment problem in home health care: using a data-driven method to estimate the travel times of care givers”, Flexible Services and Manufacturing Journal, vol. 28, pp. 304-335, June 2016, doi: https://doi.org/10.1007/s10696-015-9222-6 .
- [40] S. Yalçındağ, P. Cappanera, M. Scutella, E. Şahin, and A. Matta, “Pattern-based decompositions for human resource planning in home health care services”, Comput Oper Res, vol. 73, pp. 12–26, September 2016, doi: https://doi.org/10.1016/j.cor.2016.02.011
- [41] J. Decerle, O. Grunder, A. Hajjam El Hassani, and O. Barakat, “A hybrid memetic-ant colony optimization algorithm for the home health care problem with time window, synchronization and working time balancing”, Swarm and Evolutionary Computation, vol. 46, pp. 171–183, May 2019, doi: 10.1016/j.swevo.2019.02.009.
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