Page 202 - IJOCTA-15-4
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Z. Chen et al. / IJOCTA, Vol.15, No.4, pp.738-749 (2025)
            Qwen-1.5-72B  42  is Alibaba’s 72-billion-parameter      loading, it is calculated as
            multilingual model that supports up to 32 k con-                    W · (BA − RA)
            text tokens and excels at chat, code, and tool             Index =         C        + K       (6)
            use; (5) Qwen-3-235B 43  is a 235-billion-parameter
                                                                     where BA is the horizontal distance in
            mixture-of-experts model that activates roughly
                                                                     units of length from the reference datum
            22 billion parameters per token to achieve high
                                                                     to the location. The smaller index change
            accuracy with lower compute overhead.
                                                                     rate represents the better performance of
                Dataset.   The experiments rely on an air            algorithms.
            cargo loading dataset collected by China Aviation      • Algorithm runtime:       Algorithm run-
            Information Co. from June 2024 to January 2025           time refers to the measure of execution
            at an airport in Beijing, China. The data were           time. The lower algorithm runtime rep-
            collected at the flight level, with each record corre-   resents the better performance of algo-
            sponding to a specific flight’s cargo loading infor-     rithms.
            mation. After initial cleaning to remove erroneous
            entries, the dataset comprises over 6.1 million   4.2. Evaluation of loading performance
            cargo records spanning more than 1000 aircraft    Hyperparameter setting. For the genetic al-
            types. For this study, we sample 200,000 records  gorithms (HGA and GA-normal), we set a pop-
            drawn from two wide-body aircraft (B777, B787)    ulation of 10,000, run 100 generations, and use a
            and two narrow-body aircraft (A320, B737).
                                                              mutation rate of 0.7 with a crossover rate of 0.2.
                Baseline.    We evaluate four state-of-the-   For the particle-swarm optimizations (DMOPSO
            art heuristic search methods, including HGA, 10   and PSO-normal), we employ 2000 particles and
                                    9
                                                      8
            GA-normal,  10  DMOPSO, and PSO-normal and        100 iterations. Our own method runs for 100 it-
            three combinatorial optimization methods, in-     erations on a search space of 100 individuals and
                          6
                                5
            cluding COM, IOM and MLIP.      25                sets the LLM temperature at 0.8, top p 0.9, and
                Metric Following the setting of, 44  we utilize  a repetition-penalty of 1.2.
            the following three metrics:                          Comparison of loading accuracy. Table 2
                  • %MAC: The Mean Aerodynamic Chord          and Table 3 show the comparison results of all
                    (MAC) represents the chord of a hypo-     eight methods and five testbeds. We have three
                    thetical rectangular wing whose projected  key observations, which are following:
                    area equals that of the real wing, thereby   (1) Generalization analysis of FastLoader.
                    maintaining the same aerodynamic and             Compared with the combinatorial op-
                    moment characteristics. Although exact           timization method, FasterLoader shows
                    computation is challenging, the MAC is           higher and more stable solution accuracy,
                    often established via wind tunnel testing.       with higher generalization performance.
                    As a key factor in aircraft load analysis,       This is because the LLM fully under-
                    the %MAC is derived based on this mean           stands the complex constraints in the air
                    aerodynamic chord. The MAC is calcu-             cargo loading scenario.  However, com-
                    lated as                                         binatorial optimization methods are dif-
                                                                     ficult to fully model complex constraints,
                        C·(I−K)  + RA − LEMAC                        resulting in low solution accuracy.
             %MAC =        W                      × 100 (5)      (2) Analysis of different large models.  By
                                  MAC
                                                                     observing the accuracy results of the
                    where C is the weight constant of the air-       five LLMs, we find that the accuracy of
                    craft, I is the index value corresponding        Deepseek is lower than that of other large
                    to the respective weight, K is the constant      models under different LLMs. This is be-
                    that is used to avoid the negative figures,      cause Deepseek lacks the knowledge of the
                    W is the actual weight of the aircraft,          relevant scenarios.
                    RA is the reference index values, LEMAC      (3) Heuristic search algorithm analysis. We
                    is the horizontal distance in length units       observe that without considering the al-
                    from reference datum to the location from        gorithm runtime, the results of heuristic
                    the leading edge, and MAC is the length of       search achieve the highest solution accu-
                    mean aerodynamic chord in length units.          racy in the evaluation of all aircraft types.
                    The smaller %MAC represents the better           This is because the heuristic search meth-
                    performance of algorithms.                       ods generate a huge search space to make
                  • The change rate of index: Index is an-           the solution meet the complex constraints
                    other significant concept in aircraft cargo      and improve the solution accuracy.
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