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A fuzzy optimization model for designing an efficient blood supply chain network under uncertainty and disruption

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Abstract

In a natural disaster such as an earthquake, due to the extensive number of injured, demand for blood units sharply increases in health care centers. Thus, designing an efficient supply chain network for managing blood distribution is one of the major concerns for the healthcare systems under uncertain conditions. This study aims to propose a methodology to minimize the total cost of the blood supply network and total blood shortage. We proposed a new fuzzy multi-period mathematical model using trapezoidal fuzzy numbers by Spherical Fuzzy membership degrees for the blood supply network design. The proposed methodology has considered the possibility of natural disasters in Istanbul (Asian side), the economic and cultural center of Turkey. The proposed model is formulated by fuzzy objective function and fuzzy variables; thus, the final results remained in the fuzzy form. The uncertain parameters are the demand for blood from different blood types in each hospital, the amount of the blood supply in each blood donation facility, the percentage of usable blood, failure rates of the network's components, and network costs. These parameters are represented by trapezoidal fuzzy numbers so that they have membership degrees stated by spherical fuzzy sets. To aggregate decision-makers viewpoints about parameters, spherical fuzzy number algebraic weighted harmonic mean (SFNAWHM) aggregation operator is employed. The relevant network consists of four layers: blood donation areas, blood collection centers, main blood centers, and hospitals. We considered the concept of disruption throughout the supply chain by considering failure rates for all network components. Finally, a sensitivity analysis is performed to validate the proposed fuzzy model and solution methodology.

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Correspondence to Seyed Amin Seyfi-Shishavan.

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Appendix A. Data used in the model

Appendix A. Data used in the model

See Tables 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25 and 26.

Table 11 The decision-making matrix for usable blood
Table 12 The decision-making matrix for unit relocation cost
Table 13 The decision-making matrix for unit inventory cost
Table 14 The decision-making matrix for unit transportation cost
Table 15 The decision-making matrix for blood's demand of hospital
Table 16 The decision-making matrix for maximum blood supply
Table 17 The decision-making matrix for fix facilities' failure rate
Table 18 The decision-making matrix for mobile facilities' failure rate
Table 19 The decision-making matrix for the main blood collection center's failure rate
Table 20 The decision-making matrix for hospital's failure rate
Table 21 Other parameters used in the model
Table 22 Geographical coordinates of donor groups
Table 23 Geographical coordinates of mobile facilities
Table 24 Geographical coordinates of fixed facilities
Table 25 Geographical coordinates of main blood center
Table 26 Geographical coordinates of hospitals

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Seyfi-Shishavan, S.A., Donyatalab, Y., Farrokhizadeh, E. et al. A fuzzy optimization model for designing an efficient blood supply chain network under uncertainty and disruption. Ann Oper Res 331, 447–501 (2023). https://doi.org/10.1007/s10479-021-04123-y

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  • DOI: https://doi.org/10.1007/s10479-021-04123-y

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