TY - JOUR T1 - A mathematical model for vaccine cold chain network design considering social sustainability TT - Sosyal sürdürülebilirlik kapsamında aşı soğuk zincir ağ tasarımı için matematiksel model önerisi AU - Demirel, Neslihan AU - Yıldız, Nur Hivda AU - Aktaş, Nadide PY - 2023 DA - April Y2 - 2023 DO - 10.28948/ngumuh.1180457 JF - Niğde Ömer Halisdemir Üniversitesi Mühendislik Bilimleri Dergisi JO - NÖHÜ Müh. Bilim. Derg. PB - Niğde Ömer Halisdemir Üniversitesi WT - DergiPark SN - 2564-6605 SP - 376 EP - 385 VL - 12 IS - 2 LA - en AB - Breakages that may occur in the cold chain cause serious economic, environmental, and social costs, as well as a substantial risk for human and public health. Therefore, it is necessary to design an effective, robust, and strong vaccine cold chain network. Sustainable Development Goal 3 titled “Good Health and Well Being” emphasizes children's health and specifies reducing the mortality rate for under five ages. In this study, we consider the Expanded Programme on Immunization (EPI) vaccine cold chain in Türkiye and develop a linear programming model for a multi-product, multi-period, multi-stage vaccine cold chain network in light of Sustainable Development Goal 3. The study aims to maximize fully immunized children for up to five years and propose a framework for a vaccine cold chain network design. The proposed model is applied to a real case. Finally, various scenario analyzes are applied to show the results of the model under different conditions. KW - Expanded Program on Immunization KW - Linear Programming KW - Network Design KW - Social sustainability KW - Vaccine cold chain N2 - Aşıların tabii olduğu soğuk zincirde meydana gelebilecek kırılmalar; ciddi ekonomik, çevresel ve sosyal maliyetlerin yanında insan ve halk sağlığı açısından da önemli risklere neden olmaktadır. Bu nedenle etkili, sağlam ve güçlü bir aşı soğuk zincir ağının tasarlanması gerekmektedir. Diğer yandan, “Sağlıklı Bireyler” başlıklı Sürdürülebilir Kalkınma Hedefi 3, çocukların sağlığına vurgu yapmakta ve beş yaş altı ölüm oranlarının düşürülmesini hedeflemektedir. Bu çalışmada, Türkiye'deki Genişletilmiş Bağışıklama Programı EPI aşı tedarik zinciri ele alınarak Sürdürülebilir Kalkınma Hedefi 3 ışığında çok ürünlü, çok dönemli, çok aşamalı bir aşı soğuk zincir ağı için doğrusal programlama modeli geliştirilmiştir. Çalışma, beş yaşa kadar tam bağışıklanmış çocuk sayısını en üst düzeye çıkarmayı ve aşı soğuk zincir ağ tasarımı için bir çerçeve önermeyi amaçlamaktadır. Önerilen model vaka çalışmasına uygulanmıştır. Son olarak, çeşitli senaryo analizleri ile model sonuçları değerlendirilmiştir. CR - World Health Organization, Children: improving survival and well-being, 08/09/2020. https://www.who.int/news-room/fact-sheets/detail/ children-reducing-mortality. Accessed: 19 April 2022. CR - World Health Organization, Vaccines and immunization, 2021. https://www.who.int/health-topics/vaccines-and-immunization#tab=tab_1. Accessed: 19 April 2022. CR - UNICEF, Immunization, 2021. https://www.unicef. org/immunization. Accessed: 16 November 2021. CR - Sustainable Development Goals, Goal 3: Ensure healthy lives and promote well-being for all at all ages, 2022. https://www.un.org/sustainabledevelopment/ health/. Accessed: 14 April 2022. CR - Statista, Infant mortality rate (under one year old) in Turkey from 1950 to 2020, 2022. https://www.statista.com/statistics/1073263/infant-mortality-rate-turkey-historical/. Accessed: 18 April 2022. CR - UNICEF, Trends in under-five mortality rate in Turkey, 2022. https://data.unicef.org/country/tur/. Accessed: 18 April 2022. CR - World Bank, Mortality rate under-5 (per 1,000 live births), 2022. https://data.worldbank.org/indicator/SH. DYN.MORT?locations=TR. Accessed: 18 April 2022. CR - United Nations High Commissioner for Refugees, Refugees and Asylum Seekers in Turkey, 2022. https://www.unhcr.org/tr/en/refugees-and-asylum-seekers-in-turkey. Accessed: 18 April 2022. CR - World Bank, Mortality rate under-5 (per 1,000 live births), 2022. https://data.worldbank.org/indicator/SH. DYN.MORT?most_recent_value_desc=true. Accessed: 18 April 2022. CR - E. E. Günay, K. Park, S. Aydoğan and G. E. Okudan Kremer. Vaccine Distribution Strategies against Polio: An Analysis of Turkey Scenario. Industrial and manufacturing systems engineering conference proceeding and posters, Orlando, Florida, USA, 2019. CR - UNICEF, Immunizaton, 2022. https://www.unicef.org/ turkey/en/immunization. Accessed: 16 November 2022. CR - K. Shafaat, A. Hussain and B. Kumar, An Overview: Storage of pharmaceutical products. World J Pharm Sci, 2499-515, 2013. CR - B. Y. Lee and L. A. Haidari, The importance of vaccine supply chains to everyone in the vaccine world. Vaccine, 35(35): 4475-4479, 2020. https://doi.org/ 10.1016/j.vaccine.2017.05.096 CR - S. I. Chen, B. Norman, j. Rajgopal, T. M. Assi, B. Y. Lee and S. T. Brown, A planning model for the WHO-EPI vaccine distribution network in developing countries. IIE Transactions, 46(8): 853-865, 2014. https://doi.org/10.1080/0740817X.2013.813094 CR - S. H. Jacobson, E. C. Sewell, R. Deuson and B. G. Weniger, An integer programming model for vaccine procurement and delivery for childhood immunization: A pilot study. Health Care Management Science, 2(1): 1-9, 1999. https://doi.org/10.1023/A:1019011106198 CR - S. Hovav and D. Tsadikovich, A network flow model for inventory management and distribution of influenza vaccines through a healthcare supply chain. Operations Research for Health Care, 5: 49-62, 2015. https://doi.org/10.1016/j.orhc.2015.05.003 CR - H. K. Smalley, P. Keskinocak, J. Swann and A. Hinman, Optimized oral cholera vaccine distribution strategies to minimize disease incidence: A mixed integer programming model and analysis of a Bangladesh scenario. Vaccine, 33(46): 6218-6223, 2015. https://doi.org/10.1016/j.vaccine.2015.09.088 CR - A. Saif, and S. Elhedhli, Cold supply chain design with environmental considerations: A simulation-optimization approach. European Journal of Operational Research, 251(1): 274-287, 2016. https://doi.org/10.1016/j.ejor.2015.10.056 CR - S. Hovav and A. Herbon, Prioritizing high-risk sub-groups in a multi-manufacturer vaccine distribution program. The International Journal of Logistics Management, 28(2): 311-331, 2017. https://doi.org/10.1108/IJLM-12-2015-0227 CR - M. I. D. Carvalho, D. Ribeiro and A. P. Barbosa-Povoa, Design and planning of sustainable vaccine supply chain. Pharmaceutical Supply Chains- Medicines Shortages, Springer, 2019. http://dx.doi.org/10.1007/ 978-3-030-15398-4_2 CR - J. Lim, B. A. Norman and J. Rajgopal, Redesign of vaccine distribution networks. International Transactions in Operational Research, 29(1): 200-225, 2019. https://doi.org/10.1111/itor.12758 CR - S. J. Sadjadi, Z. Ziaei and M. S. Pishvaee, The design of the vaccine supply network under uncertain condition: A robust mathematical programming approach. Journal of Modelling Management, 841-871, 2019. https://doi.org/10.1108/JM2-07-2018-0093 CR - B. Abbasi, M. Fadaki, O. Kokshagina, N. Saeed and P Chhetri, Modeling vaccine allocations in the COVID-19 pandemic: A case study in Australia, 2020. http://dx.doi.org/10.2139/ssrn.3744520 CR - S. Enayati and O. Y. Özaltın, Optimal influenza vaccine distribution with equity. European Journal Operational Research, 283(2): 714-725, 2020. https://doi.org/10.1016/j.ejor.2019.11.025 CR - Y. Yang, H. Bidkhori and J. Rajgopal, Optimizing vaccine distribution networks in low and middle-income countries. Omega, 99, 2020. https://doi.org/ 10.1016/j.omega.2020.102197 CR - A. G. Qasem, A. Shamsan and F. Aqlan, Optimal Cholera Vaccine Allocation Policies in Developing Countries: A Case Study. Proceedings of the International Conference on Industrial Engineering and Operations Management, Detroit, Michigan, USA, pp. 2279-2287, 2020. CR - M. Alizadeh, M. M. Paydar, S. M. Hosseini, and A. Makui, Influenza vaccine supply chain network design during the COVID-19 pandemic considering dynamical demand, Scientia Iranica, 2021. https://doi.org/10.24200/sci.2021.58365.5694 CR - G. P. Georgiadis and M. C. Georgiadis, Optimal planning of the COVID-19 vaccine supply chain. Vaccine, 39(37): 5302-5312, 2021. https://doi.org/ 10.1016/j.vaccine.2021.07.068 CR - M. Rastegar, M. Tavana, A. Meraj and H. Mina, An inventory-location optimization model for equitable infuenza vaccine distribution in developing countries during the COVID-19 pandemic. Vaccine, 495-504, 2021. https://doi.org/10.1016/j.vaccine.2020.12.022 CR - M. Tavana, K. Govindan, A. K. Nasr, M. S. Heidary and H. Mina, A mathematical programming approach for equitable COVID-19 vaccine distribution in developing countries. Annals of Operations Research, 1-34, 2021. https://doi.org/10.1007/s10479-021-04130-z CR - H. Gilani and H. Sahebi, A data-driven robust optimization model by cutting hyperplanes on vaccine access uncertainty in COVID-19 vaccine supply chain. Omega, 110: 1-21, 2022. https://doi.org/10.1016/j. omega.2022.102637 CR - B. Balcik, E. Yucesoy, B. Akca, S.Karakaya, A. A.Gevsek, H. Baharmand and F. Sgarbossa, A mathematical model for equitable in-country COVID-19 vaccine allocation. International Journal of Production Research, 1-25, 2022. https://doi.org/10.1080/00207543.2022.2110014 CR - V. Khodaee, V. Kayvanfar and A. Haji, A humanitarian cold supply chain distribution model with equity consideration:The case of COVID-19 vaccine distribution in the European union. Decision Analytics Journal, 4, 100126. https://doi.org/10.1016/j.dajour. 2022.100126 CR - Z. Azadi, S. D. Eksioglu and H. N. Geismar, Optimization of Distribution Network Configuration for Pediatric Vaccines using Chance Constraint Programming, 2020. https://doi.org/10.48550/arXiv. 2006.05488 CR - World Health Organization, 1998, Safe vaccine handling, cold chain and immunizations: A manual for the Newly Independent States. https://apps. who.int/iris/handle/10665/64776 CR - S. Guichard, K. Hymbaugh, B. Burkholder, S. Diorditsa, C. Navarro, S. Ahmed and M. Rahman, Vaccine wastage in Bangladesh. Vaccine, 28(3): 858-863, 2010. https://doi.org/10.1016/j.vaccine.2009.08. 035 UR - https://doi.org/10.28948/ngumuh.1180457 L1 - https://dergipark.org.tr/tr/download/article-file/2672348 ER -