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.
| Reference | Model structure | Model type | Sustainability aspects | Government incentives | Competition issue | Preference rule | Solution method | MILP | MINLP | Bilevel stackelberg | Multiobjective | Multilevel | Economic | Environmental | Social |
| [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 |
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