Table 1 Summary of different existing VSC network designs in previous literature related to the COVID-19 pandemic.
Reference | Type of Model | Blockchain Technology | Priority | Product | Period | Solution Method | Objective functions | Uncertainty | |||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Single | Multi | Single | Multi | Robust | Fuzzy | Stochastic | Parameter | ||||||
Dai et al. 46 | MILP |  |  | ✔ |  |  | ✔ | Heuristic | Cost |  |  |  |  |
Habibi et al. 21 | MILP |  |  |  | ✔ |  | ✔ | Meta-heuristic | Cost |  |  |  |  |
Abbasi et al. 19 | MIP |  |  |  | ✔ |  | ✔ | Heuristic | Cost and environmental effect |  |  |  |  |
Fadaki et al. 47 | MILP |  |  |  | ✔ |  | ✔ | Exact | Risk |  |  |  |  |
Georgiadis & Georgiadis 48 | MILP |  |  |  | ✔ |  |  | Exact | Cost |  |  |  |  |
Valizadeh et al. 23 | MILP |  |  | ✔ |  | ✔ |  | Hybrid algorithm | Time, cost, and risk |  |  | ✔ | Demand |
Chen et al. 5 | MILP |  |  | ✔ |  | ✔ |  | Exact | Death |  |  |  |  |
Shiri & Ahmadi zar 30 | MILP |  | ✔ | ✔ |  |  | ✔ | Exact | Cost |  |  | ✔ | Demand |
Kochakkashani et al. 33 | MILP |  |  |  | ✔ |  | ✔ | Exact | Cost |  |  | ✔ | Intrinsic part of the problem |
Goodarzian et al. 25 | MINLP |  |  | ✔ |  |  | ✔ | Meta-heuristic based on IoT | Cost, time, and environmental effects |  |  | ✔ | Demand and supply |
Tang et al. 49 | MILP |  |  |  |  |  | ✔ | Exact and meta-heuristic | Cost and equity |  |  |  |  |
Gilani and Sahebi 34 | MIP |  |  |  | ✔ | ✔ |  | Exact | Cost, social, and environmental effects | ✔ |  |  | Vaccine accessibility |
Khodaee et al. 50 | MIP |  |  | ✔ |  | ✔ |  | Exact | Cost |  |  |  |  |
Rahman et al. 22 | MILP |  |  |  | ✔ |  | ✔ | Hybrid meta-heuristic | Cost and equity |  |  |  |  |
Alizadeh et al. 20 | MIP |  |  | ✔ |  |  | ✔ | Exact | Cost and social effects |  |  |  |  |
Tavana et al. 6 | MILP |  |  |  | ✔ |  | ✔ | Exact | Cost |  |  |  |  |
Abbasi et al. 1 | MILP |  |  | ✔ |  |  | ✔ | Exact | Cost and risk |  |  |  |  |
Jahani et al. 51 | NLP |  |  |  | ✔ |  | ✔ | Meta-heuristic | Cost and queue length |  |  |  |  |
Bani et al. 29 | MILP |  |  |  | ✔ |  | ✔ | Exact | Cost and environmental effect | ✔ |  |  | Tendency rate of vaccination |
Wang et al. 32 | MILP |  |  |  | ✔ |  | ✔ | Exact | Cost and social effect | ✔ |  |  | Demand and supply |
Goentzel et al. 26 | MIP |  |  | ✔ |  | ✔ |  | Exact | C immunization coverage |  |  |  |  |
Sazvar et al. 27 | MIP |  |  | ✔ |  |  |  | Exact | Cost and access to vaccine |  |  |  |  |
Dastgoshade et al. 52 | MIP |  |  | ✔ |  | ✔ |  | Exact | Cost, social, and equity |  |  | ✔ | Demand and supply |
Mohammadi et al. 28 | MINLP |  |  |  | ✔ | ✔ |  | Exact | Cost and equity | ✔ |  |  | Transmission, death, contacts |
Işık and Yildiz 53 | MILP |  |  |  | ✔ |  | ✔ | Exact | Cost | ✔ |  |  | Demand, capacities, supply |
Moadab et al. 31 | MILP |  |  |  |  |  |  | Exact | Cost, social, and environmental effects |  |  | ✔ | Demand |
Taghipour et al. 37 | MIP |  |  | ✔ |  | ✔ |  | Exact | Cost and reliability |  |  |  | Demand |
Current paper | MILP | ✔ | ✔ |  | ✔ |  | ✔ | Exact (Multistage) | Cost |  | ✔ | ✔ | Supply, quality, and price |