According to the coal or rock cutting theory,a mechanical model and computing formula for a pick and the drum load fluctuation model were established in order to obtain relationships between pick arrangements and drum fluctuation loads,drum rotary speeds and haulage speeds.Based on a minimum load fluctuation,an optimal mathematical model was established for drum pick arrangements.The effects of pick arrangements(including punnett square,sequence,aberrance I and II)on the drum load fluctuation coefficient are discussed.The relationships between the pick arrangements of the drum with different start vanes and the cutting load fluctuation coefficient,the drum rotary speed and haulage speed were also studied.The results indicate that the punnett square arrangement has a smaller cutting load fluctuation coefficient than other forms of arrangement and the drum with the 4-start vanes has the smallest coefficient.The drum rotary speed and haulage speed are affected not only by pick arrangements,but also by the number of vanes. According to the coal or rock cutting theory, a mechanical model and computing formula for a pick and the drum load fluctuation model were established in order to obtain relationships between pick arrangements and drum lifting loads, drum rotary speeds and haulage speeds. load fluctuation, an optimal mathematical model was established for drum pick arrangements. The effects of pick arrangements (including punnett square, sequence, aberrance I and II) on the drum load fluctuation coefficients are discussed.The relationships between the pick arrangements of the drum with different start vanes and the cutting load fluctuation coefficient, the drum rotary speed and haulage speed were also studied the results that that the punnett square arrangement has a smaller cutting load fluctuation coefficient than other forms of arrangement and the drum with the 4-start vanes has the smallest coefficient. drum speed and haulage speed are affected not only by pick arrangement s, but also by the number of vanes.