“…On the other hand, concentrating on the applied solution methods, in the literature, there are both deterministic and stochastic optimization algorithms which are all utilized to search for the optimal solutions. In the sphere of LNG transportation, applied deterministic optimization algorithms comprise branch-and-price (Grønhaug et al 2010), Branch and bound (Rakke et al 2011), branch and cut (Andersson et al, 2017), dynamic programming (Stålhane et al 2012b), sequential quadratic programming (Skaugen et al, 2013) and other algorithms. In addition, table 1 shows the recent studies on LNG shipping problem using stochastic optimization algorithms and highlights the differences between the previous studies and the current research.…”