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Mathematical Tool for Choosing the Best Material for Producing Masks

De Oliveira, Helenice; Petrovic, Sanja; Cantane, Daniela Renata

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Helenice De Oliveira

Professor of Operational Research

Daniela Renata Cantane


There are specific rules for making professional face masks. Theserules establish quality standards for masks that are used by medicalprofessionals. The quality standards are based on the filtering powerof bacteria and viruses, fluid resistance, breathability, etc. During periods of pandemic acute respiratory infections, the World Health Organization(WHO) use to recommend that professional masks should be apriority for medical professionals, for people who provide hospital andhome medical assistance and for people with comorbidities.For other people, isrecommended the use of non-professional masks.This type of mask generally is made from fabric and sold by artisans, or madeby users themselves from the material that is within the reach. Unlikeprofessional masks, there is no established norm or standard for theassessment of non-professional masks. Many studies have been carriedout in order to measure the filtering efficiency of viruses, bacteria andthe breathability of various materials for homemade masks, yet, noconclusions have been made on which type of mask is the best. Weuse an Operational Research approach to solve the problem of choosingthe best mask to be produced from a set of masks made from differentmaterials. We propose a mathematical optimization model which isformulated using the Extended Goal Programming. Computationalexperiments were conducted to analyze the trade-off between differentperformance measures of materials in the selection of the best mask.This model serves as a very useful tool to be used in the selection ofthe type of non-professional mask to be made.


De Oliveira, H., Petrovic, S., & Cantane, D. R. (2021). Mathematical Tool for Choosing the Best Material for Producing Masks. International Journal of Science and Research (IJSR), 10(2), 1440-1447

Journal Article Type Article
Acceptance Date Feb 25, 2021
Online Publication Date Feb 25, 2021
Publication Date Feb 25, 2021
Deposit Date Jul 26, 2021
Publicly Available Date Jul 26, 2021
Journal International Journal of Science and Research
Electronic ISSN 2319-7064
Peer Reviewed Peer Reviewed
Volume 10
Issue 2
Pages 1440-1447
Keywords Cloth mask; Pandemic; Filtering Efficiency Measures; Multicriteria Optimization; Goal Programming
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