| Method | Papers |
Exact solutions | Branch and bound | (Simmons, 1969) [2] , (Heragu & Kusiak, 1991) [4] , (Andre RS Amaral, 2006) [9] |
Branch and cut strategies | (André RS Amaral, 2009) [10] , (André RS Amaral & Letchford, 2013) [12] | |
Dynamic programming | (Picard & Queyranne, 1981) [6] | |
Semidefinite programming | (Anjos & Vannelli, 2008) [15] , (Yen, 2008) [13] , (Anjos et al., 2005) [14] ,(Anjos & Yen, 2009) [19] , (Anjos & Vannelli, 2006a, 2006b) [20] [21] | |
Cutting plane | (Anjos & Vannelli, 2008) [15] , (Yen, 2008) [13] , (Sanjeevi & Kianfar, 2010) [22] | |
Heuristic methods | Genetic Algorithm (GA) | (Kothari & Ghosh, 2012a) [23] , (Ozcelik, 2012) [24] , (Datta, Amaral, & Figueira, 2011) [25] , (Ponnambalam & Ramkumar, 2001) [26] , (Kothari & Ghosh, 2014a) [27] , (Ku, Hu, & Wang, 2011) [28] , (Utamima & Ou-Yang, 2012) [29] |
Bat algorithm | (Büyüksaatçı, 2015) [30] | |
Ant Colony Optimization (ACO) | (Guan & Lin, 2016) [31] , (Solimanpur, Vrat, & Shankar, 2005) [32] , (Clauss, Bernt, & Middendorf, 2013) [33] | |
Tabu search | (Samarghandi & Eshghi, 2009) [34] , (Samarghandi & Eshghi, 2010) [35] , (Kothari & Ghosh, 2013) [36] , (Kothari & Ghosh, 2012e) [1] , (Ahonen, de Alvarenga, & Amaral, 2014) [37] , (Yu, Zuo, & Murray, 2014) [38] , (Lenin, Siva Kumar, Ravindran, & Islam, 2014) [39] | |
Cuckoo Optimization (CO) | (Maadi, Javidnia, & Ghasemi, 2016) [40] | |
Cross-entropy approach | (Ning & Li, 2018) [41] | |
Forest Optimization (FO) | (Maadi et al., 2016) [40] | |
Particle Swarm Optimization (PSO) | (Samarghandi, Taabayan, & Jahantigh, 2010) [42] , (Ou-Yang & Utamima, 2013) [43] , (Utamima, 2012) [29] | |
Charged System Search (CSS) | (Kaveh & Safari, 2014) [44] | |
Neighborhood search | (Kothari & Ghosh, 2012b) [45] | |
Scatter search | (Kothari & Ghosh, 2014b) [45] | |
Local search | (André RS Amaral, 2008) [46] , (Ghosh, 2011) [47] , (Palubeckis, 2015a) [48] | |
Path relinking | (Kothari & Ghosh, 2012c) [49] , (Rubio-Sánchez et al., 2016) [18] | |
Hybrid algorithms | (Ou-Yang & Utamima, 2013) [43] , (Azadeh, Roozbahani, & Moghaddam, 2013) [17] , (Teo & Ponnambalam, 2008) [50] | |
Imperialist Competitive Algorithm (ICA) | (Lian, Zhang, Gao, & Shao, 2006) [51] | |
Hybrid Simulated Annealing | (Kamali, 2015) [52] | |
Clonal Selection Algorithm (CSA) | (Ulutas, 2013) [53] , (Hosseini-Nasab & Emami, 2012) [54] | |
Bacterial Foraging Algorithm (BFA) | (Ulutas, 2013) [53] | |
Simulated Annealing (SA) | (Palubeckis, 2017) [55] , (Kamali, 2015) [52] , (Ahonen et al., 2014) [37] , (Ku et al., 2011) [28] , (Palubeckis, 2015b) [56] | |
Artificial bee colony algorithm | (Amaral, 2019) [57] |