Dynamical distribution of continuous service time model involving non-Maxwellian collision kernel and value functions
The distribution of continuous service time in call centers is investigated. A non-Maxwellian collision kernel combining 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...
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| Published in | Chinese physics B Vol. 33; no. 9; pp. 90502 - 347 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Chinese Physical Society and IOP Publishing Ltd
01.08.2024
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| Subjects | |
| Online Access | Get full text |
| ISSN | 1674-1056 2058-3834 |
| DOI | 10.1088/1674-1056/ad5d92 |
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| Abstract | The distribution of continuous service time in call centers is investigated. A non-Maxwellian collision kernel combining 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. |
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| AbstractList | The distribution of continuous service time in call centers is investigated. A non-Maxwellian collision kernel combining 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. 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. |
| Author | Zhao, Minfang Kong, Lingting Liu, Miao Lai, Shaoyong |
| Author_xml | – sequence: 1 givenname: Minfang surname: Zhao fullname: Zhao, Minfang organization: Yili Normal University Institute of Applied Mathematics, Yining 835000, China – sequence: 2 givenname: Lingting surname: Kong fullname: Kong, Lingting organization: Southwestern University of Finance and Economics School of Mathematics, Chengdu 611130, China – sequence: 3 givenname: Miao surname: Liu fullname: Liu, Miao organization: Yili Normal University Institute of Applied Mathematics, Yining 835000, China – sequence: 4 givenname: Shaoyong surname: Lai fullname: Lai, Shaoyong organization: Southwestern University of Finance and Economics School of Mathematics, Chengdu 611130, China |
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| Snippet | The distribution of continuous service time in call centers is investigated. A non-Maxwellian collision kernel combining two different value functions in the... The distribution of continuous service time in call centers is investigated.A non-Maxwellian collision kernel com-bining two different value functions in the... |
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| SubjectTerms | Fokker-Planck equation kinetic theory service time value function |
| Title | Dynamical distribution of continuous service time model involving non-Maxwellian collision kernel and value functions |
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