Journal of Mathematics

Research Article

A Competitive Bilevel Programming Model for Green, CLSCs in Light of Government Incentives

Table 1

A comprehensive review of the sustainable CLSC literature.
ReferenceModel structureModel typeSustainability aspectsGovernment incentivesCompetition issuePreference ruleSolution method
MILPMINLPBilevel stackelbergMultiobjectiveMultilevelEconomicEnvironmentalSocial
[2]✓——✓——✓————Hybrid method
[3]✓——✓✓—✓————Genetic-based algorithm
[13]✓——✓——✓✓————
[1]✓—✓——✓✓—✓——Simulated annealing
[5]✓✓✓———✓—✓✓——
[15]✓——✓✓✓—————Memetic algorithm
[28]—✓—✓✓—✓————ε-constraint approach
[27]———✓✓✓✓————Hybrid metaheuristic
[28]—✓———✓✓————Lagrangean relaxation
[36]—✓✓—✓✓———✓—Modified projection
[39]—✓✓——✓—✓———Combining a heuristic and exact
[41]✓———✓✓—————Heuristic and exact
[40]✓✓✓————✓—✓✓Karush–Kuhn–Tucker approach
The present work✓—✓—✓✓✓—✓✓✓Hybrid QBPSO and Benders decomposition