“…In the past few years, some research has been conducted on the issue of trajectory optimization. The objectives are to improve traffic efficiency [5,29], minimize fuel consumption [10,27,28,39], minimize aircraft emission and noise impact [12,15,24], minimize the total flying cost [32,42], or their combinations [18]. Some other related issues include the airspace constraints in the optimization model [15], estimation of environmental performance indicators [19], characterization of aircraft emissions [38], trajectory optimization methods [31,32], the environmental and macroeconomic impact of the implementation of energy taxation or emissions trading scheme [1,3,9,11,37], the economic and environmental efficiency of airlines [4,23], etc.…”