Aviation　or　air　transportation　refers　to　the　activities　surrounding　mechanical　flights　in　the　airlines　and　the　aircraft　industries.　In　this　paper,　we　present　a　recent　literature　survey　on　aviation　management.　The　literature　review　is　classified　into　the　following　main　categories:　Airline　Capacity　Analysis;　Air　Traffic　Flow　Management;　Airline　Fleet　Assignment;　Tail　Assignment　with　Aircraft　Maintenance　Routing;　Airline　Crew　Pairing;　Airline　Recovery　and　Rescheduling;　Airline　Revenue　Management;　Collaborative　Decision　Making;　Aircraft　Scheduling.　This　classification　aims　to　motivate　the　researchers　and　practitioners　in　aviation　management　to　develop　more　applicable,　realistic　and　wide-ranging　optimization　methodologies　for　meeting　the　current　needs　of　aviation　industry.　©　2019　IEEE.