2012
DOI: 10.1016/j.ejor.2011.12.021
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On air traffic flow management with rerouting. Part I: Deterministic case

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Cited by 60 publications
(47 citation statements)
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“…Since the development of the optimization problem is largely the same in both [19] and [20], this paper uses the variable notation in the latter. The following sections describe the construction of the decision variables and the constraints.…”
Section: Description Of the Blo Integer Program And Constraint Comentioning
confidence: 99%
See 1 more Smart Citation
“…Since the development of the optimization problem is largely the same in both [19] and [20], this paper uses the variable notation in the latter. The following sections describe the construction of the decision variables and the constraints.…”
Section: Description Of the Blo Integer Program And Constraint Comentioning
confidence: 99%
“…A key advancement in optimization-based methods for TFM is the Bertsimas/Stock-Patterson (BSP) model [17,18], which poses the TFM problem as a binary integer program (IP). The Bertsimas-Lulli-Odoni (BLO) model [19] and further developments by Agustin et al [20] (the AAEP model) introduce additional flexibility in the BSP model, such as the possibility of multiple routes and fairer distribution of delays among different flights. The BLO and AAEP models formulate the deterministic TFM problem by using a graph abstraction of the airspace with nodes connected by one or more routes for all flights.…”
Section: Introductionmentioning
confidence: 99%
“…Strictly, flight routes along an airspace have various configurations and parameters described for each. In the event of air traffic congestion where an alternate flight route is taken, a penalization of the deviation of the total trip length from that scheduled and the deviation of the actual travel time from that scheduled for each flight is charged to the airlines concerned [34]. The same penalization is charged to all airlines regardless of its capital structure and market position, thus demonstrating an equitable treatment of among airlines.…”
Section: (Equitable Treatment Of Competing Airline)mentioning
confidence: 99%
“…Dell'Olmo and Lulli [25] developed a two-level hierarchical model including air routes networks and optimal traffic routes using both mixed integer programming and heuristic algorithms. Agusti et al [26,27] developed re-routing approaches for large-scaled deterministic and stochastic ATFM problems.…”
Section: Figurementioning
confidence: 99%