Abstract
The transportation models are of paramount importance as a powerful tool for health institutions with resource allocation abilities. Movement of patients, medical supplies, employees, and other individuals across various locations are all covered in this field of study to enhance efficiency and reduce costs. However, there are limited number of papers discussing nursing staff and bed capacity as a resource allocation problem within the scope of transportation models. Hence, the purpose of the study is to examine the transportation model with a fuzzy mixed integer linear programming (FMILP) approach to allocate the nursing staff and bed capacity as resources with a case study of dental hospital. Findings illustrate that the highest patient demand is observed in the last three months of the year, and there is a need to increase the capacity in that time period. Besides, the sensitivity analysis highlights that while volume of domestic patients’ demand is relatively stable, the number of international patients varies greatly throughout the year and causes a change in total patient demand significantly. This chapter contributes to the literature by emphasizing the transportation models’ wide range of utilization ability for the healthcare resource allocation problems. Indeed, the practitioners can benefit from this paper in order to handle its resources to allocate exact dates and operating rooms.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Vankar, P.: Health care system: health outcomes ranking of select countries worldwide 2021. Statista (2022)
Zhou, C.-Y., Zhang, S.-Z., Sun, Y.: Research on the distribution and transportation of emergency materials under public health emergencies. In: International Conference on Smart Transportation and City Engineering, p. 12460 (2022)
Younkin, S.G., Fremont, H.C., Patz, J.A.: The health-oriented transportation model: estimating the health benefits of active transportation. J. Transp. Health 22 (2021)
Kumar, A., Amin, M.A.S., Tarakci, H., Prybutok, V.: Distribution and transportation model for COVID-19 vaccine. Int. J. Enterp. Netw. Manage. 14(1–2), 78–98 (2023)
Mengüç, K., Aydin, N., Ulu, M.: Optimisation of COVID-19 vaccination process using GIS, machine learning, and the multi-layered transportation model. Int. J. Prod. Res. (2023)
Yazdani, M., Mojtahedi, M., Loosemore, M., Sanderson, D.: A modelling framework to design an evacuation support system for healthcare infrastructures in response to major flood events. Prog. Disaster Sci. 13 (2022)
Bala, R., Lee, C., Pallant, B., Srinivasan, M., Lurie, D., Jacob, R., Bhagchandani, N., Ranney, M., He, S.: Algorithmic matching of personal protective equipment donations with healthcare facilities during the COVID-19 pandemic. Digital Med. 4(1) (2021)
Babaee Tirkolaee, E., Aydın, N.S.: A sustainable medical waste collection and transportation model for pandemics. Waste Manage. Res. 39(1_suppl), 34–44 (2021)
Liu, H., Yao, Z., Chang, F., Meyer, S.: An RFID-based medical waste transportation management system: assessment of a new model on a hospital in China. Fresenius Environ. Bull. 29(2), 773–784 (2020)
Nurprihatin, F., Elnathan, R., Rumawan, R.E., Regina, T.: A distribution strategy using a two-step optimisation to maximize blood services considering stochastic travel times. In: 1st International Conference of Construction, Infrastructure, and Materials, ICCIM 2019, vol. 650, no. 1. Scopus (2019)
Yasobant, S., Vora, K.S., Upadhyay, A.: Geographic information system applications in public health: advancing health research. In: Healthcare Policy and Reform: Concepts, Methodologies, Tools, and Applications, vol. 2, pp. 538–561 (2018)
Gupta, K.: Inventory and transportation cost minimization in the delivery logistics of swine flu vaccine. Yugoslav J. Oper. Res. 27(4), 481–497 (2017)
Michas, F.: Hospital bed density select countries 2020. Statista (2022)
Belien, J.: Exact and heuristic methodologies for scheduling in hospitals: problems, formulations and algorithms. 4OR 5(2), 157–160 (2007)
Migo-Sumagang, M.V., Tan, R.R., Tapia, J.F.D., Aviso, K.B.: Fuzzy mixed-integer linear and quadratic programming models for planning negative emissions technologies portfolios with synergistic interactions. Cleaner Eng. Technol. 9, 100507 (2022)
Baker, K.B.: Workforce allocation in cyclical scheduling problems: a survey. J. Oper. Res. Soc. 27(1), 155–167 (1976)
Knyazkov, K., Derevitsky, I., Mednikov, L., Yakovlev, A.: Evaluation of dynamic ambulance routing for the transportation of patients with acute coronary syndrome in Saint-Petersburg. Proc. Comput. Sci. 66, 419–428 (2015)
Li, M., Vanberkel, P., Carter, A.: A review on ambulance offload delay literature. Health Care Manage. Sci. 22 (2019)
Perveen, S., Yigitcanlar, T., Kamruzzaman, M., Hayes, J.: Evaluating transport externalities of urban growth: a critical review of scenario-based planning methods. Int. J. Environ. Sci. Technol. 14(3), 663–678 (2017)
Prasetyadi, A., Trianggoro, C., Rezaldi, M.Y., Nugroho, B.: The autonomous vehicle models to minimize the impact of pandemic. In: International Conference on Computer, Control, Informatics and Its Applications, pp. 122–125 (2021)
Sivakumar, G., Hari Ganesh, A.: Application of fuzzy multi objective linear programming in the efficient treatment of communicable diseases. Glob. J. Pure Appl. Math. 11(3), 1363–1377 (2015)
Bhattacharya, P.P., Bhattacharya, K., De, S.K.: A study on pollution sensitive sponge iron-based production transportation model under fuzzy environment. Decision Making Appl. Manage. Eng. 5(1), 225–245 (2022)
Liu, C., He, Z., Lu, X.: Optimisation analysis of carbon emission reduction from crop straw collection and transportation under the sustainable development goals. Nongye Gongcheng Xuebao/Trans. Chin. Soc. Agric. Eng. 38(10), 239–248 (2022)
Shekarrizfard, M., Valois, M.-F., Goldberg, M.S., Crouse, D., Ross, N., Parent, M.-E., Yasmin, S., Hatzopoulou, M.: Investigating the role of transportation models in epidemiologic studies of traffic related air pollution and health effects. Environ. Res. 140, 282–291 (2015)
Arya, R., Singh, P., Kumari, S., Obaidat, M.S.: An approach for solving fully fuzzy multi-objective linear fractional optimisation problems. Soft. Comput. 24(12), 9105–9119 (2020)
Kannan, D., de Sousa Jabbour, A.B.L., Jabbour, C.J.C.: Selecting green suppliers based on GSCM practices: Using Fuzzy TOPSIS applied to a Brazilian electronics company. Eur. J. Oper. Res. 233(2), 432–447 (2014)
Breuer, D.J., Kapadia, S., Lahrichi, N., Benneyan, J.C.: Joint robust optimisation of bed capacity, nurse staffing, and care access under uncertainty. Ann. Oper. Res. 312(2), 673–689 (2022)
Olya, M.H., Badri, H., Teimoori, S., Yang, K.: An integrated deep learning and stochastic optimization approach for resource management in team-based healthcare systems. Expert Syst. Appl. (2022)
Pei, Z., Yuan, Y., Yu, T., Li, N.: Dynamic allocation of medical resources during the outbreak of epidemics. IEEE Trans. Autom. Sci. Eng. 19(2), 663–676 (2022)
Ash, C., Diallo, C., Venkatadri, U., VanBerkel, P.: Distributionally robust optimization of a Canadian healthcare supply chain to enhance resilience during the COVID-19 pandemic. Comput. Ind. Eng. 168 (2022)
Goli, A., Ala, A., Mirjalili, S.: A robust possibilistic programming framework for designing an organ transplant supply chain under uncertainty. Ann. Oper. Res. (2022)
Wu, J.S.: Healthcare service efficiency: an empirical study on healthcare capacity in various counties and cities in Taiwan. Healthcare (Switzerland) 11(11) (2023)
Banker, R.D., Amirteimoori, A., Allahviranloo, T., Sinha, R.P.: Performance analysis and managerial ability in the general insurance market: a study of India and Iran. Inf. Technol. Manage. (2023). https://doi.org/10.1007/s10799-023-00405-y
Cadenas, J.M., Verdegay, J.L.: Using fuzzy numbers in linear programming. IEEE Trans. Syst. Man Cybern. B Cybern. 27(6), 1016–1022 (1997). https://doi.org/10.1109/3477.650062
Peidro, D., Mula, J., Poler, R., Verdegay J.: Fuzzy optimization for supply chain planning under supply, demand and process uncertainties. Fuzzy Sets Syst. 160, 2640–2657 (2009). https://doi.org/10.1016/j.fss.2009.02.021
Rahmani, A., Lotfi, F.H., Rostamy-Malkhalifeh, M., Allahviranloo, T.: A new method for defuzzification and ranking of fuzzy numbers based on the statistical beta distribution. Adv. Fuzzy Syst. 2016, 1–8 (2016)
Cadenas, J.M.: Design and implementation of an interactive system to solve fuzzy optimisations problems. Ph.D. Dissertation, Universidad de Granada, Spain
Negoita, C.V., Ralescu, D.A.: Application of Fuzzy Sets to System Analysis. Interdisciplinary Systems Research, Birkhäuser Verlag, Stuttgart (1975)
Cadenas, J.M., Verdegay, J.L.: Métodos Y Modelos De Programación Lineal Borrosa. In: Alonso-Ayuso, A., Cerdá, E., Escudero, L.F., Sala, R. (eds.) Optimización Bajo Incertidumbre, pp. 77–98. Tirant Lo Blanch, Madrid (2004)
Isikli, E., SerdarAsan, S., Karadayi-Usta, S.: Predicting the Medical Tourism Demand of Turkey, pp. 119–132 (2020)
Bureau of Labor Statistics.: Occupational employment and wages (2022)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2024 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
Gul, A.Y., Karadayi-Usta, S. (2024). Fuzzy Transportation Model for Resource Allocation in a Dental Hospital. In: Allahviranloo, T., Hosseinzadeh Lotfi, F., Moghaddas, Z., Vaez-Ghasemi, M. (eds) Decision Making in Healthcare Systems. Studies in Systems, Decision and Control, vol 513. Springer, Cham. https://doi.org/10.1007/978-3-031-46735-6_7
Download citation
DOI: https://doi.org/10.1007/978-3-031-46735-6_7
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-46734-9
Online ISBN: 978-3-031-46735-6
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)