Calculation of the Optimal Loading of Air Vehicles Taking Into Account the Prioritization of Aircraft

The problem of the optimal placement of a nonuniform set of cargoes on board the given set of aircraft is investigated. The problem under consideration is formalized as a mixed integer linear programming problem in which the number of items on board the highest priority aircraft and the total mass of objects loaded are optimized. In this case, the priorities of the aircraft are calculated using the combined methods of multicriteria analysis of the alternatives. The technology of searching for its exact solution, implemented in the form of an open web service, is proposed.

[1]  Andreas Bortfeldt,et al.  Constraints in container loading - A state-of-the-art review , 2013, Eur. J. Oper. Res..

[2]  Michael Eley A bottleneck assignment approach to the multiple container loading problem , 2003, OR Spectr..

[3]  Andrew Lim,et al.  The multiple container loading cost minimization problem , 2011, Eur. J. Oper. Res..

[4]  Célia Paquay,et al.  A mixed integer programming formulation for the three-dimensional bin packing problem deriving from an air cargo application , 2016, Int. Trans. Oper. Res..

[5]  V. A. Nesterov,et al.  Fuzzy Preference Domains and Their Use for Selecting an Electronic Flight Bag for Flight Crews , 2018 .

[6]  Reinaldo Morabito,et al.  Three-dimensional container loading models with cargo stability and load bearing constraints , 2012, Comput. Oper. Res..

[7]  Tobias Achterberg,et al.  SCIP: solving constraint integer programs , 2009, Math. Program. Comput..

[8]  Gerrit K. Janssens,et al.  Vehicle routing problems with loading constraints: state-of-the-art and future directions , 2015, OR Spectr..

[9]  Manfred W. Padberg,et al.  Packing small boxes into a big box , 2000, Math. Methods Oper. Res..

[10]  Chin-Sheng Chen,et al.  An analytical model for the container loading problem , 1995 .

[11]  Jing Xu,et al.  An iterated construction approach with dynamic prioritization for solving the container loading problems , 2012, Expert Syst. Appl..

[12]  Jens Egeblad,et al.  Heuristics for container loading of furniture , 2010, Eur. J. Oper. Res..

[13]  Michael Eley A bottleneck assignment approach to the multiple container loading problem , 2003 .