Mathematical Problems in Engineering

Research Article

Five-Echelon Multiobjective Health Services Supply Chain Modeling under Disruption

Table 1

Classification of the related papers.
ArticlesProblem TypeHealth supply chainSystem disruptionNetwork structureModel featuresSolution methodCase study
Single levelHierarchicalHubMultiperiodCapacity
Jacobs et al. [25]FLP✓ ✓    Scenario base✓
Zahiri et al. [26]FLAP✓ ✓  ✓ Robust possibilistic programming and GAMS✓
Ünlüyurt and Tunçer. [27]MCLP✓ ✓    CPLEX✓
Khodaparasti et al. [28]LAP✓ ✓  ✓✓Outer approximation algorithm (AOA)✓
Hodgson and Jacobsen. [30]MHLAP✓  ✓   CPLEX 
Fahimnia et al. [14]FLP✓  ✓ ✓✓ɛ-constraint and Lagrangian relaxation and GAMS 
Mestre et al. [31]MHLAP✓  ✓ ✓✓ε-constraint and CPLEX✓
Hovav and Tsadikovic [32]FLIP✓  ✓ ✓✓Heuristic algorithm✓
Elalouf et al. [33]FLP✓  ✓   DP algorithm and FPTAS algorithm✓
Chaiwuttisak et al. [34]FLAP✓  ✓  ✓CPLEX✓
Safaei et al. [35]HGPP✓  ✓   Weighted goal programming (WGP) and Lingo (BLMOPSO) algorithm✓
 
Li et al. (2018)HFLAP✓  ✓   ✓
Barzinpour et al. [37]HLAP✓  ✓  ✓ε-constraint 
Drezner [38]PQCP ✓✓    Heuristic algorithm 
Cui et al. [47]UFLP ✓✓    Lagrangian relaxation 
Shen et al. [48]UFLP ✓✓    Approximation algorithm✓
Peng et al. [12]LNDP ✓✓   ✓Genetic algorithm 
Shishebori and Yousefi Babadi [49]FL/NDP✓✓✓   ✓CPLEX✓
An et al. [50]FLP ✓✓    Lagrangian relaxation✓
Zarrinpoor et al. [51]MHLAP✓✓ ✓  ✓Benders decomposition (BD)✓
Diabat et al. [52]HFLAP ✓ ✓ ✓✓Lagrangian relaxation and ɛ-constraint✓
Fattahia and Govindan [53]FLP ✓ ✓ ✓✓Rolling horizon procedure✓
Sabouhi et al. [9]LIP✓✓ ✓  ✓Fuzzy DEA✓
Haghjoo et al. [54]DRLAP✓✓✓  ✓✓Robust optimization and two metaheuristic✓
Hamdan and Diabat. [19]HFLAP✓✓ ✓ ✓✓Lagrangian relaxation✓
Current studyHHLAP✓✓ ✓✓✓✓Fuzzy multichoice goal programming model and R solver✓