Abstract
An approach to define and optimize cruise procedures that follow common airline practice according to air traffic control (ATC) rules is presented. The method is based on the use of predefined trajectory patterns and parametric optimization. Two cruise regimes are considered: cruise at constant Mach number and cruise at constant altitude; and three different problems are analyzed: maximum range cruise (cruise climb), maximum range cruise at constant altitude, and minimum fuel cruise at constant altitude with fixed arrival time. In each case two different optimization problems are studied: one in which the constant values of Mach number and altitude are unrestricted, and another one in which the Mach numbers are restricted to multiples of 0.01 and the altitude values are restricted to cruising levels. Results are presented for a model of a Boeing 767-300ER. Comparison with optimal results shows that it is possible to define cruise procedures that follow ATC rules which are very close to optimal.
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