{"id":3446,"date":"2009-08-12T23:48:09","date_gmt":"2009-08-12T20:48:09","guid":{"rendered":"https:\/\/inginerie.aero\/?p=3446"},"modified":"2017-05-30T23:49:36","modified_gmt":"2017-05-30T20:49:36","slug":"objective-function-4d-trajectory-optimization-trajectory-based-operations","status":"publish","type":"post","link":"https:\/\/inginerie.aero\/index.php\/en\/2009\/08\/12\/objective-function-4d-trajectory-optimization-trajectory-based-operations\/","title":{"rendered":"Objective Function for 4D Trajectory Optimization in Trajectory Based Operations"},"content":{"rendered":"<p>[et_pb_section admin_label=&#8221;Sec\u021biune&#8221; fullwidth=&#8221;off&#8221; specialty=&#8221;off&#8221;][et_pb_row admin_label=&#8221;R\u00e2nd&#8221;][et_pb_column type=&#8221;4_4&#8243;][et_pb_text admin_label=&#8221;Text&#8221; background_layout=&#8221;light&#8221; text_orientation=&#8221;justified&#8221; use_border_color=&#8221;off&#8221; border_color=&#8221;#ffffff&#8221; border_style=&#8221;solid&#8221;]<\/p>\n<p>&nbsp;<\/p>\n<p>Octavian Thor Pleter\u00a0and Cristian Emil Constantinescu, University Politehnica of Bucharest, 060042 Bucharest, Romania and Irina Beatrice Stefanescu,\u00a0Romanian Space Agency, 010362 Bucharest, Romania<\/p>\n<p>Abstract: In the future ATM implementations based on 4D trajectories, both the ATM (safe separation, sequencing for the best runway utilization) and the flight management problems (the best fuel efficiency) may be solved together using a multidisciplinary optimization of the 4D trajectories of all aircraft using the system simultaneously. The paper advances an objective function for the optimization process, which effectively models the total costs and risk of air navigation. The resulted gate-to-gate 4D trajectories are &#8222;flyable&#8221; (they are generated by a dynamic model flight simulator for the specific type of aircraft, with the individual initial FMS data), and are the best cost-risks trade-offs. The paper also reveals the results of some simulated experiments using genetic algorithms to minimize the objective function presented.<\/p>\n<p>Download full article <a href=\"https:\/\/inginerie.aero\/wp-content\/uploads\/2017\/04\/pleter3.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">here<\/a>.<\/p>\n<p>&nbsp;<\/p>\n<p><a href=\"#_ftnref1\" name=\"_ftn1\"><\/a><\/p>\n<p>&nbsp;<\/p>\n<p>[\/et_pb_text][et_pb_divider admin_label=&#8221;Divider&#8221; color=&#8221;rgba(147,175,193,0.39)&#8221; show_divider=&#8221;on&#8221; divider_style=&#8221;solid&#8221; divider_position=&#8221;top&#8221; hide_on_mobile=&#8221;on&#8221;] [\/et_pb_divider][et_pb_comments admin_label=&#8221;Comments&#8221; show_avatar=&#8221;on&#8221; show_reply=&#8221;on&#8221; show_count=&#8221;off&#8221; background_layout=&#8221;light&#8221; use_border_color=&#8221;off&#8221; border_color=&#8221;#ffffff&#8221; border_style=&#8221;solid&#8221; custom_button=&#8221;off&#8221; button_letter_spacing=&#8221;0&#8243; button_use_icon=&#8221;default&#8221; button_icon_placement=&#8221;right&#8221; button_on_hover=&#8221;on&#8221; button_letter_spacing_hover=&#8221;0&#8243;] [\/et_pb_comments][\/et_pb_column][\/et_pb_row][\/et_pb_section]<\/p>\n","protected":false},"excerpt":{"rendered":"<p>&nbsp; Octavian Thor Pleter\u00a0and Cristian Emil Constantinescu, University Politehnica of Bucharest, 060042 Bucharest, Romania and Irina Beatrice Stefanescu,\u00a0Romanian Space Agency, 010362 Bucharest, Romania Abstract: In the future ATM implementations based on 4D trajectories, both the ATM (safe separation, sequencing for the best runway utilization) and the flight management problems (the best fuel efficiency) may be [&hellip;]<\/p>\n","protected":false},"author":8,"featured_media":2063,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"on","_et_pb_old_content":"<p>[et_pb_section admin_label=\"Sec\u021biune\" fullwidth=\"off\" specialty=\"off\"][et_pb_row admin_label=\"R\u00e2nd\"][et_pb_column type=\"4_4\"][et_pb_text admin_label=\"Text\" background_layout=\"light\" text_orientation=\"justified\" use_border_color=\"off\" border_color=\"#ffffff\" border_style=\"solid\"]<\/p><p>Octavian Thor Pleter\u00a0and Cristian Emil Constantinescu, University Politehnica of Bucharest, 060042 Bucharest, Romania and Irina Beatrice Stefanescu,\u00a0Romanian Space Agency, 010362 Bucharest, Romania<\/p><p>Abstract: In the future ATM implementations based on 4D trajectories, both the ATM (safe separation, sequencing for the best runway utilization) and the flight management problems (the best fuel efficiency) may be solved together using a multidisciplinary optimization of the 4D trajectories of all aircraft using the system simultaneously. The paper advances an objective function for the optimization process, which effectively models the total costs and risk of air navigation. The resulted gate-to-gate 4D trajectories are \"flyable\" (they are generated by a dynamic model flight simulator for the specific type of aircraft, with the individual initial FMS data), and are the best cost-risks trade-offs. The paper also reveals the results of some simulated experiments using genetic algorithms to minimize the objective function presented.<\/p><p>Download full article <a href=\"https:\/\/inginerie.aero\/wp-content\/uploads\/2017\/04\/pleter3.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">here<\/a>.<\/p><p>\u00a0<\/p><p><a href=\"#_ftnref1\" name=\"_ftn1\"><\/a><\/p><p>[\/et_pb_text][et_pb_divider admin_label=\"Divider\" color=\"rgba(147,175,193,0.39)\" show_divider=\"on\" divider_style=\"solid\" divider_position=\"top\" hide_on_mobile=\"on\"] [\/et_pb_divider][et_pb_comments admin_label=\"Comments\" show_avatar=\"on\" show_reply=\"on\" show_count=\"off\" background_layout=\"light\" use_border_color=\"off\" border_color=\"#ffffff\" border_style=\"solid\" custom_button=\"off\" button_letter_spacing=\"0\" button_use_icon=\"default\" button_icon_placement=\"right\" button_on_hover=\"on\" button_letter_spacing_hover=\"0\"] [\/et_pb_comments][\/et_pb_column][\/et_pb_row][\/et_pb_section]<\/p>","_et_gb_content_width":"","jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","enabled":false},"version":2},"_links_to":"","_links_to_target":""},"categories":[135],"tags":[],"class_list":["post-3446","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-publications"],"jetpack_publicize_connections":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v24.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Objective Function for 4D Trajectory 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