| # | Article | Problem Type |
Model Type |
Objective | Vehicle Type | Penalty for Unmet Demand | Sustainability |
|---|---|---|---|---|---|---|---|
| 1 | Powell,1986 [11] | VAP | IP | Profit max | − | − | − |
| 2 | Hughes and Powell,1988 [12] | VAP | LP | Profit max | − | − | − |
| 3 | Frantzeskakis and Powell, 1990 [13] | VAP | SP | Profit max | − | − | − |
| 4 | Beaujon and Turnquist, 1991 [14] | VAP | MIP | Revenue max | − | √ | − |
| 5 | Birge and Ho, 1993 [15] | NP | SP | Cost min | − | − | − |
| 6 | Powell and Frantzeskakis, 1994 [16] | NP | SP | Cost min | − | − | − |
| 7 | Yan et al., 1995 [17] | NP | LP | Min platform number | − | − | − |
| 8 | Powell et al., 2000 [18] | VARP | IP | Profit max | − | − | − |
| 9 | Bojović, 2002 [19] | VRP | LP | Revenue max | − | − | − |
| 10 | Hall and Zhong, 2002 [20] | ICP | Analytic | - | − | − | − |
| 11 | List et al., 2003 [21] | FAP | SP-RO | Cost min | √ | √ | − |
| 12 | Sung and Song, 2003 [22] | NP | LP | Cost min | √ | − | − |
| 13 | List et al., 2006 [23] | FAP | SP | Cost min | − | √ | − |
| 14 | Simonetto and Borenstein, 2007 [24] | VARP | MIP | Cost min | √ | − | − |
| 15 | Lee et al., 2008 [25] | VRP | MIP | Revenue max | √ | − | − |
| 16 | Fan et al., 2008 [26] | VAP | SP | Profit max | − | − | − |
| 17 | Wu et al., 2009 [27] | VAP | IP | Total evacuation time min | √ | − | − |
| 18 | Sayarshad and Ghoseiri, 2009 [28] | VAP | IP | Revenue max | − | √ | − |
| 19 | Sayarshad et al., 2010 [29] | VAP | MO-MIP | Cost min, profit max, and fleet size min | √ | √ | − |
| 20 | Wu et al., 2010 [30] | VARP | MO-MIP | Emissions and cost min | √ | − | √ |
| 21 | Javadian et al., 2011 [31] | TP | IP | Cost min | √ | √ | − |
| 22 | Tan et al., 2011 [32] | VAP | FLP | Total evacuation time min | √ | − | √ |
| 23 | Ibri et al., 2012 [33] | VAP | IP | Traveling time min | − | √ | − |
| 24 | Milenković and Bojović, 2013 [34] | VAP | FLP | Cost min | − | √ | − |
| 25 | Shi et al, 2014 [35] | FAP | SP | Cost min | − | − | − |
| 26 | Zolfagharinia and Haughton, 2014 [36] | PDP | MIP | Profit max | − | √ | − |
| 27 | Upadhyay and Bolia, 2014 [37] | SPP | IP | Profit max and cost min | − | √ | − |
| 28 | Upadhyay and Bolia, 2014 [38] | VAP | MILP | Profit max | − | √ | − |
| 29 | Hanczar and Peternek, 2015 [39] | VAP | MIP | Empty wagon min | − | − | − |
| 30 | Andrade and Cunha, 2015 [40] | VAP | MIP | Total time min | √ | − | − |
| 31 | Atasoy et al., 2015 [41] | VAP | LP | Profit max | − | − | − |
| 32 | Milenković et al., 2015 [42] | VAP | NLP | Cost min | √ | − | − |
| 33 | Tari and Hashemi, 2016 [43] | TP | MIP | Cost min | √ | − | − |
| 34 | Zolfagharinia and Haughton,2016 [44] | PDP | MIP | Profit max | − | − | − |
| 35 | Liu et al., 2016 [45] | VAP | MIP | Demand max | √ | − | − |
| 36 | Sánchez-Martínez et al., 2016 [46] | VAP | IP | Service quality max | − | − | − |
| 37 | Vasco and Morabito, 2016 [47] | VAP | IP | Profit max | √ | − | − |
| 38 | Mesa-Arango and Ukkusuri, 2017 [48] | VAP | SP | Profit max | − | − | − |
| 39 | Kaewpuang et al., 2017 [49] | VAP | SP | Cost min | − | − | − |
| 40 | Buuren et al., 2018 [50] | VAP | MIP | Cost min | − | − | − |
| 41 | Khayati and Kang, 2019 [51] | HAPP | MILP | Travel differences min | √ | − | √ |
| 42 | Sullivan et al., 2019 [52] | VAP | MIP | Travel time min | √ | − | − |
| 43 | Pitakaso et al., 2019 [53] | VARP | MIP | Cost min | − | − | − |
| 44 | Rui et al., 2019 [54] | VAP | IP | Total utility max | − | − | − |
| 45 | Gkiotsalitis et al., 2019 [55] | VAP | NLP | Cost min | − | − | − |
| 46 | Li et al., 2019 [56] | VAP | MIP | Profit max | √ | √ | − |
| Our study | VAP | BO-IP | Profit max and emissions min | √ | √ | √ |