It is crucial nowadays for shipping companies to reduce bunker consumption while maintaining a certain level of shlpping service in view of the high bunker price and concerned shipping emissions. After introducing the three bunker consumption optimization contexts: minimization of total operating cost. minimization of emission and collaborative mechanisms between port operators and shipping companies, this paper presents a aiticaJ and timely literature review on mathematical solution methods for bunker consumption optimization problems. Several navel bunker consumption optimization methods are subsequently proposed. The applicability, optimality, and efficiency of the existing and newly proposed methods are al5o analyzed. This paper provides technical guidelines and insights for researchers and practitioners dealing with the bunker consumption issues.