Published Sep 3, 2021
Arpan Garg Y D Sharma Subit Kumar Jain


COVID-19 is causing a large number of causalities and producing tedious healthcare management problems at a global level. During a pandemic, resource availability and optimal distribution of the resources may save lives. Due to this issue, the authors have proposed an Analytical Hierarchy Process (AHP) based optimal distribution model. The proposed distribution model advances the AHP and enhances real-time model applicability by eliminating judgmental scale errors. The model development is systematically discussed. Also, the proposed model is utilized as a state-level optimal COVID-19 vaccine distribution model with limited vaccine availability. The COVID-19 vaccine distribution model used 28 Indian states and 7 union territories as the decision elements for the vaccination problem. The state-wise preference weights were calculated using the geometric mean AHP analysis method. The optimal state-level distribution of the COVID-19 vaccine was obtained using preference weights, vaccine availability and the fact that a patient requires exactly vaccine doses to complete a vaccination schedule. The optimal COVID-19 vaccine distribution along with state and union territory rank, and preference weights were compiled. The obtained results found Kerala, Maharashtra, Uttarakhand, Karnataka, and West Bengal to be the most COVID-19 affected states. In the future, the authors suggest using the proposed model to design an optimal vaccine distribution strategy at the district or country level, and to design a vaccine storage/inventory model to ensure optimal use of a vaccine storage center covering nearby territories.

How to Cite

Garg, A., Sharma, Y. D. ., & Jain, S. K. (2021). AN AHP BASED OPTIMAL DISTRIBUTION MODEL AND ITS APPLICATION IN COVID-19 VACCINATION. International Journal of the Analytic Hierarchy Process, 13(2).


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COVID-19, Vaccine distribution model, AHP, MCDM, Risk assessment

Chan, J. F. W., Yuan, S., Kok, K. H., To, K. K. W., Chu, H., Yang, J., ... & Yuen, K. Y. (2020). A familial cluster of pneumonia associated with the 2019 novel coronavirus indicating person-to-person transmission: a study of a family cluster. The Lancet, 395(10223), 514-523. Doi:

Corvin, J. A., Chan, I., AguadoLoi, C. X., Dollman, I., & Gonzales, J. (2020). Analytic hierarchy process: An innovative technique for culturally tailoring evidence‐based interventions to reduce health disparities. Health Expectations, 24(S1),70-81. Doi:

Crawford, G., & Williams, C. (1985). A note on the analysis of subjective judgment matrices. Journal of Mathematical Psychology, 29(4), 387-405. Doi:

Covid19india Dashboard.Daily update on COVID-19 in India. Available at

Garg, A., & Ganesh, T. (2020). An analytical hierarchy process approach for COVID-19 risk assessment study amid the latest re-open and unlock phase in India. International Journal of the Analytic Hierarchy Process, 12(3), 656-576. Doi:

Halder, B., Bandyopadhyay, J., &Banik, P. (2020). Assessment of hospital sites’ suitability by spatial information technologies using AHP and GIS-based multi-criteria approach of Rajpur–Sonarpur Municipality. Modeling Earth Systems and Environment, 6(4), 2581-2596. Doi:

Hezam, I. M., Nayeem, M. K., Foul, A., &Alrasheedi, A. F. (2021). COVID-19 Vaccine: A neutrosophic MCDM approach for determining the priority groups. Results in Physics, 20, 103654. Doi:

Improta, G., Perrone, A., Russo, M. A., & Triassi, M. (2019). Health technology assessment (HTA) of optoelectronic biosensors for oncology by analytic hierarchy process (AHP) and Likert scale. BMC Medical Research Methodology, 19(1), 1-14. Doi:

Kaur, S. P., & Gupta, V. (2020). COVID-19 vaccine: A comprehensive status report. Virus Research, 198114. Doi:

Lancet, T. (2020).Global governance for COVID-19 vaccines. Lancet, 395(10241), 1883. Doi: 10.1016/S0140-6736(20)31405-7

Ministry of Health and Family Welfare (MoHFW) Government of India. COVID-19 vaccine operational guidelines, 61. Available at

Ministry of Health and Family Welfare (MoHFW) Government of India. Letter from additional secretary MoHFW regarding vaccine roll out. Available at

Mishra, A.M., Purohit, S.D., Owolabi, K.M. & Sharma, Y.D. (2020). A nonlinear epidemiological model considering asymptotic and quarantine classes for SARS CoV-2 virus. Chaos, Solitons & Fractals, 138, 109953.Doi:

Mohammed, T. J., Albahri, A. S., Zaidan, A. A., Albahri, O. S., Al-Obaidi, J. R., Zaidan, B. B., ... & Hadi, S. M. (2021). Convalescent-plasma-transfusion intelligent framework for rescuing COVID-19 patients across centralised/decentralised telemedicine hospitals based on AHP-group TOPSIS and matching component. Applied Intelligence, 1-32. Doi:

Population of India (2021). Available at

Rosenbloom, E. S. (1997). A probabilistic interpretation of the final rankings in AHP. European Journal of Operational Research, 96(2), 371-378. Doi:

Saaty, T. L. (1977). A scaling method for priorities in hierarchical structures. Journal of Mathematical Psychology, 15(3), 234-281. Doi:

Saaty, T. L. (1990). How to make a decision: the analytic hierarchy process. European Journal of Operational Research, 48(1), 9-26. Doi:

Saaty, T. L. (2003). Decision-making with the AHP: Why is the principal eigenvector necessary. European Journal of Operational Research, 145(1), 85-91. Doi:

Saaty, R. W. (1987). The analytic hierarchy process—what it is and how it is used. Mathematical modelling, 9(3-5), 161-176.Doi:

Worldometers.COVID-19 Corona virus pandemic. Available at

World Health Organization (WHO). Steps in vaccine development. Available at

World Health Organization (WHO).Coronavirus disease 2019(COVID-19) Situation Report –94. Available at

World Health Organization (WHO). Coronavirus disease 2019 (COVID-19) Situation Report–11. Available at

World Health Organization (WHO).draft-landscape-of-covid-19-candidate-vaccines on 16 Feb. 2021. Available at