[Objective] This paper optimizes the deployment of anti-terrorist police resources based on the queueing theory, aiming to improve the effectiveness of counterterrorism actions. [Methods] First, we proposed two optimal anti-terrorist policing strategies based on the M/M/1/∞ and M/M/N/∞ queueing models. Then, we compared the performance of the two models with simulation cases on four factors. [Results] We found that the M/M/N/∞ model had better performance. [Limitations] We did not examine the proposed model with real world anti-terrorism and policing data. [Conclusions] The M/M/N/∞ queueing model could help us create better anti-terrorist policing strategies.
(Zhao Wei.Study on the Reform of the Large Department System of Public Security Organs[J]. Journal of People’s Public Security University of China: Social Sciences Edition, 2016, 32(6): 75-81.)
(Liu Jian, Zhang Huaixue, Wang Xiangzhen.A Study on the Reform of Public Security Organs’ Large Scale Police System——Taking Guizhou Pilot as an Example[J]. Journal of People’s Public Security University of China: Social Sciences Edition, 2018, 34(2): 12-20.)
(Xie Yuanyuan, Shi Quanzeng.The Type Analysis and Reform Path of Inadequate Police Force in the Grass-roots Public Security Organs[J]. Journal of People’s Public Security University of China: Social Sciences Edition, 2014, 30(4): 37-43.)
(Wang Dazhong.The Issue of Migratory Population and the Distribution of Police Force[J]. Journal of People’s Public Security University of China: Social Sciences Edition, 2003, 19(4): 56-61.)
doi: 10.3969/j.issn.1672-2140.2003.04.013
(Liu Zhongyi, Xie Yi, Gao Yan, et al.Research on Police Resource Allocation Efficiency Based on DEA Model[J]. Journal of People’s Public Security University of China: Social Sciences Edition, 2015, 31(6): 58-64.)
(Wang Eryuan.Application of Multiple Linear Regression Model in Police Resources Allocation[J]. Journal of People’s Public Security University of China: Science and Technology, 2013, 19(1): 44-50.)
(Li Xia, Wang Eryuan.Construction of 110 Police Station Queuing Model in Police Station[J]. Journal of People’s Public Security University of China: Science and Technology, 2013, 19(3): 52-59.)
[10]
王大伟. 欧美警察科学原理[M]. 北京: 中国人民公安大学出版社, 2007.
[10]
(Wang Dawei.Principles of Police Science in Europe and America [M]. Beijing: Publishing House of Chinese People’s Public Security University, 2007.)
[11]
Gorkič P.Policing Organised Crime: A Paradox of Transition?[A]// Alenka Šelih, Aleš Završnik. Crime and Transition in Central and Eastern Europe[M]. Springer, 2014: 97-116.
[12]
Charles L E, Burchfiel C M, Fekedulegn D, et al.Shift Work and Sleep: The Buffalo Police Health Study[J]. Policing, 2007, 30(2): 215-227.
doi: 10.1108/13639510710753225
[13]
Kaplan E H, Kress M, Szechtman R.Confronting Entrenched Insurgents[J]. Operations Research, 2010, 58(2): 329-341.
doi: 10.1287/opre.1090.0728
[14]
Mukhopadhyay A, Zhang C, Vorobeychik Y, et al.Optimal Allocation of Police Patrol Resources Using a Continuous-Time Crime Model[A]// Carthy S M M, Sinha A, Tambe M, et al. Data Exfiltration Detection and Prevention: Virtually Distributed POMDPs for Practically Safer Networks[M]. Springer, 2016: 139-158.
[15]
Kennedy L W, Caplan J M, Piza E. Risk Clusters, Hotspots, and Spatial Intelligence: Risk Terrain Modeling as an Algorithm for Police Resource Allocation Strategies[J]. Journal of Quantitative Criminology, 2011, 27(3): 339-362.
doi: 10.1007/s10940-010-9126-2
(Cheng Yuanjun, Luo Li.A Teller Scheduling Model Based on Queuing Theory and Integer Programming[J]. Chinese Journal of Management, 2010, 7(10): 1558-1565.)
doi: 10.3969/j.issn.1672-884X.2010.10.022
(Cai Wenjing, Ge Liansheng.Optimization of Bank Counter Setting Based on Queuing Theory[J]. Journal of Shandong University: Engineering Science, 2013, 43(3): 23-29.)
(Zhu Mingzhu, Qi Ershi, Yang Fuqin.The Resource Optimization of Service Desks in the Outpatient Based on the Open Queuing Network[J]. Industrial Engineering and Management, 2016, 21(5): 129-133, 140.)
doi: 10.3969/j.issn.1007-5429.2016.05.020
(Wang Nan, Wu Aiwen.Applying M/D/1 and M/G/1 Queuing Model to Allocate Resources on Outpatient Billing Service in Hospital[J]. Chinese Journal of Health Statistics, 2015, 32(4): 680-682.)
(Huang Dongbin, Wang Yangfan.A Two-Stage Queuing Model for Coordinating the Product Entry-Exit Service of Manufacturers’ Warehouse[J]. Operations Research and Management Science, 2016, 25(6): 250-257.)
doi: 10.12005/orms.2016.0227
(Dao Ronggui, Lv Xiaobo, Wang Jinliang, et al.Optimization Method for Number of Logistics Servicer Stations in Cigarette Production Based on Queuing Theory[J]. Tobacco Science and Technology, 2016, 49(8): 89-93.)
doi: 10.16135/j.issn1002-0861.2015.0433
(Yang Yadong, Liu Chuanbo.Vessel Transit Capacity of Cross Area Channel Based on Single Vacation M/G/1 Model[J]. Journal of Dalian Maritime University, 2016, 36(3): 17-20, 30.)
(Liu Jingxian, Han Xiaobao, Yi Xiangping.Capacity Analysis of Restricted Channels Based on the Queuing Theory[J]. Navigation of China, 2008, 31(3): 261-264, 268.)
doi: 10.3969/j.issn.1000-4653.2008.03.014
[24]
Gao Z Y, Qu Y C, Li X G, et al.Simulating the Dynamic Escape Process in Large Public Places[J]. Operations Research, 2014, 62(6): 1344-1357.
doi: 10.1287/opre.2014.1312
[25]
Kaplan E H.Staffing Models for Covert Counterterrorism Agencies[J]. Socio-Economic Planning Sciences, 2013, 47(1): 2-8.
doi: 10.1016/j.seps.2012.09.006
[26]
Taufemback C, Silva S D.Queuing Theory Applied to the Optimal Management of Bank Excess Reserves[J]. Physica A: Statistical Mechanics and Its Applications, 2012, 391(4): 1381-1387.
doi: 10.1016/j.physa.2011.09.022
[27]
孙荣恒, 李建平. 排队论基础[M]. 北京: 科学出版社, 2002.
[27]
(Sun Rongheng, Li Jianping.The Basis of Queuing Theory[M]. Beijing: Science Press, 2002.)