Application of fuzzy dynamic programming methods for the preparation of aircraft repair solutions in the conditions of aviation parts
DOI:
https://doi.org/10.54858/dndia.2024-20-25Keywords:
aircraft, technical operation, decision-making systemAbstract
Aviation engineering support provides for the performance of tasks related to the implementation of measures to maintain aviation equipment in good condition and constant readiness for combat operations. Among the list of measures, considerable attention is paid to the performance of engineering calculations regarding the substantiation of the necessary forces and means during the technical operation and repair of aircraft. The article examines the features of the use of methods of the theory of fuzzy sets, which are an integral part of the theory of artificial intelligence, and with the help of which the necessary calculations are carried out to justify the optimality of decisions on restoring the serviceability of aircraft. The search for ways to obtain optimal solutions was carried out on the basis of the mathematical apparatus of dynamic programming, taking into account the features of the uncertainty of information that characterize the activity of the engineering and technical staff in the conditions of aviation units.
The article provides an example of the application of methods of fuzzy logic analysis together with the method of dynamic programming. The problem of finding the optimal solution for restoring the serviceability of units on 8 aircraft units was studied using two criteria: the maximum number of repaired units and the minimum number of personnel of the aviation engineering service.
Task input data:
The total repair time of 8 units (A1, A2, ..., A8) should not exceed T0=12 hours. The total number of personnel of the aviation engineering service who can be sent for repair is C0=11 people, of which 3 have the qualification - "high", 6 people - "good", 2 people - "satisfactory".
The linguistic variable "Qualification" is used to assess qualifications. The working time with the "high" qualification is approximated by the triangular function of belonging in the interval (0.5 - 1.5) hours, the "good" qualification - (2 - 4) hours, the "satisfactory" qualification - (4 - 6) hours.
The labor costs of repairing each unit are different and can be estimated using the linguistic variable "Labor costs" in the intervals: A1=(1 - 2) man-hours; A2=(1 -4) man-hour; A3=(1 - 5) man-hours; A4=(1 - 2) man-hour; A5=(1 - 7) man-hours; A6=(1 - 4) man-hours; A7=(1 - 2) man-hour; A8=(1 - 5) man-hours. Labor costs are also approximated by a triangular membership function.
Fuzzy Logic Toolbox software of the MATLAB system was used during calculations.
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