# Optimizing Aircraft Routes in Dynamic Conditions Utilizing Multi-Criteria Parameters
## 2 Related Works
Also, in the course of a comprehensive analysis of the shortcomings identified in this paper, a tendency to limit algorithms with a large amount of data was noticed. While the authors of this paper noted that the D* algorithm has limitations when dealing with large amounts of data in 3D space, the details of this limitation could be considered in more detail with a focus on how it affects the overall performance and reliability of the algorithm in different scenarios. Addressing these shortcomings could significantly strengthen the arguments and make the study more comprehensive and convincing. It should be noted that there are shortcomings in [6] that need to be taken into account. In particular, there is a limited analysis of three-dimensional airspace. Although the authors of this paper consider the impact of natural disturbances and fuel use, the main emphasis in their work is on two-dimensional approaches and the limited use of algorithms for three-dimensional space, which, in practical implementation, according to [2,7,8], may reduce the accuracy and practical applicability of the results in real three-dimensional space. The study also shows insufficient consideration of the interactions among the factors mentioned above. In particular, the study in question focuses on individual factors such as fuel consumption and flight duration, but the interaction between these factors and their impact on optimal routes can be considered more comprehensively. According to [7], as part of solving the problems associated with the construction of optimal aircraft routes, it is advisable to implement a comprehensive analysis of the wind's influence on the search for optimal flight paths, which is relevant to increasing their efficiency. However, considering this paper, the following potential drawback of the algorithm can be identified: a limited focus on wind conditions. While the authors of this paper point out the importance of a comprehensive analysis of the wind's impact on finding optimal flight paths, this approach cannot ignore other important factors, such as turbulence, temperature, or pressure changes, which can also affect optimal routes and overall aircraft performance. There is also a lack of detail on three-dimensional features in this work. The presented studies mainly focus on two-dimensional analysis (theoretical analysis) and limited use of three-dimensional models, which significantly limits the approaches they propose in terms of outlining their practical application for real flight conditions, where trajectories must take into account altitude and three-dimensional space. Paper [9] notes the methodology of how to restore and optimize flight routes based on parametrized desired signals. In this paper, the authors provide and describe algorithms to correct aircraft flight depending on weather conditions, turbulence, etc. Considering the peculiarities of using the Dijkstra algorithm, it is worth noting that this algorithm works on graphs with positive edges and finds the shortest paths from one vertex to all others [2]. However, according to [10], this algorithm does not take into account vertical changes and the influence of external factors in 3D space, which reduces its effectiveness for solving air navigation problems. Study paper [11] presents results of flight route optimization based on calculations using a Floyd-Warshall methodology. The authors present optimization results considering weather conditions, fuel consumption, and 3D trajectory optimization. The main limitations of using this methodology are that, as a result, only one route is received, and it might be an issue if the pilot needs to change the route due to an air traffic change request. Also, the calculation time and memory usage can be improved for use in avionic devices.