Dynamical distribution of continuous service time model involving non-Maxwellian collision kernel and value functions

赵敏芳 ¹孔令婷 ²刘淼 ¹赖绍永²

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作者信息

1. School of Mathematics and Statistics,Yili Normal University,Yining 835000,China;Institute of Applied Mathematics,Yili Normal University,Yining 835000,China
2. School of Mathematics,Southwestern University of Finance and Economics,Chengdu 611130,China
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Abstract

The distribution of continuous service time in call centers is investigated.A non-Maxwellian collision kernel com-bining two different value functions in the interaction rule are used to describe the evolution of continuous service time,respectively.Using the statistical mechanical and asymptotic limit methods,Fokker-Planck equations are derived from the corresponding Boltzmann-type equations with non-Maxwellian collision kernels.The steady-state solutions of the Fokker-Planck equation are obtained in exact form.Numerical experiments are provided to support our results under different parameters.

Key words

kinetic theory/service time/Fokker-Planck equation/value function

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基金项目

Special Project of Yili Normal University(to improve comprehensive strength of disciplines)(22XKZZ18)

Yili Normal University Scientific Research Innovation Team Plan Project(CXZK2021015)

Yili Science and Technology Planning Project(YZ2022B036)

出版年

2024

中国物理B(英文版)

中国物理学会和中国科学院物理研究所

中国物理B(英文版)

CSTPCDEI

影响因子：0.995

ISSN：1674-1056

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