A Time-Indexed Generalized Vehicle Routing Model and Stabilized Column Generation for Military Aircraft Mission Planning

Quttineh, Nils-Hassan (författare): Linköpings universitet,Optimeringslära,Tekniska fakulteten

Larsson, Torbjörn (författare): Linköpings universitet,Optimeringslära,Tekniska fakulteten

(creator_code:org_t)

Cham : SPRINGER, 2015
2015
Engelska.
Ingår i: OPTIMIZATION, CONTROL, AND APPLICATIONS IN THE INFORMATION AGE: IN HONOR OF PANOS M. PARDALOSS 60TH BIRTHDAY. - Cham : SPRINGER. - 9783319185675 - 9783319185668 ; , s. 299-314

Relaterad länk:: https://urn.kb.se/re...; visa fler...; https://doi.org/10.1...; visa färre...

Abstract Ämnesord

Stäng

We introduce a time-indexed mixed-integer linear programming model for a military aircraft mission planning problem, where a fleet of cooperating aircraft should attack a number of ground targets so that the total expected effect is maximized. The model is a rich vehicle routing problem and the direct application of a general solver is practical only for scenarios of very moderate sizes. We propose a Dantzig-Wolfe reformulation and column generation approach. A column here represents a specific sequence of tasks at certain times for an aircraft, and to generate columns a longest path problem with side constraints is solved. We compare the column generation approach with the time-indexed model with respect to upper bounding quality of their linear programming relaxations and conclude that the former provides a much stronger formulation of the problem.

Av författaren/redakt...: Quttineh, Nils-H ...; Larsson, Torbjör ...; Van den Bergh, J ...; Belien, Jeroen

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