A Model of Optimal Interval for Anti-Mosquito Campaign Based on Stochastic Process

被引：1

作者：

Lei, Bingyin ^{[1
]}

Gao, Kaiye ^{[1
,2
]}

Yang, Li ^{[3
]}

Fang, Shu ^{[4
,5
]}

机构：

[1] Beijing Informat Sci & Technol Univ, Sch Econ & Management, Beijing 100085, Peoples R China

[2] Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China

[3] Beihang Univ, Sch Reliabil & Syst Engn, Beijing 100190, Peoples R China

[4] Beijing Emergency Management Bur, Beijing 101100, Peoples R China

[5] Beijing Univ Technol, Sch Econ & Management, Beijing 100021, Peoples R China

来源：

MATHEMATICS | 2022年 / 10卷 / 03期

基金：

中国国家自然科学基金;

关键词：

healthcare; mosquito control; diseases; dengue; cost minimization; interval; MAINTENANCE; DISEASES;

D O I：

10.3390/math10030440

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Mosquito control is very important, in particular, for tropical countries. The purpose of mosquito control is to decrease the number of mosquitos such that the mosquitos transmitted diseases can be reduced. However, mosquito control can be costly, thus there is a trade-off between the cost for mosquito control and the cost for mosquitos transmitted diseases. A model is proposed based on renewal theory in this paper to describe the process of mosquitos' growth, with consideration of the mosquitos transmitted diseases growth process and the corresponding diseases treatment cost. Through this model, the total mosquitos control cost of different strategies can be estimated. The optimal mosquito control strategy that minimizes the expected total cost is studied. A numerical example and corresponding sensitivity analyses are proposed to illustrate the applications.

引用

页数：12

共 50 条

[31] A stochastic model for the optimal batch size in multi-step operations with process and product variability
Shin, D.
Park, J.
Kim, N.
Wysk, R. A.
INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH, 2009, 47 (14) : 3919 - 3936
[32] Replenishment Policies of Fast Fashion Based on Stochastic Choice Process Model
Qi, Jie
Wang, Yan
2013 INTERNATIONAL CONFERENCE ON INDUSTRIAL ENGINEERING AND MANAGEMENT SCIENCE (ICIEMS 2013), 2013, : 520 - 526
[33] A generalized model for partial discharge processes based on a stochastic process approach
Heitz, C
JOURNAL OF PHYSICS D-APPLIED PHYSICS, 1999, 32 (09) : 1012 - 1023
[34] A Stochastic Process based Framework of Redeployment Model for Wireless Sensor Network
Bhatt, Ravindara
Datta, Raja
2013 IEEE 27TH INTERNATIONAL CONFERENCE ON ADVANCED INFORMATION NETWORKING AND APPLICATIONS WORKSHOPS (WAINA), 2013, : 443 - 449
[35] Modeling and measurement internal threat process based on advanced stochastic model
Liu, Dong
Lou, Fang
Wang, Hao
2019 CHINESE AUTOMATION CONGRESS (CAC2019), 2019, : 1077 - 1081
[36] Analyzing and Forecasting Crude Oil Price Based on Stochastic Process Model
Hu, Jiancheng
PROCEEDINGS OF THE NINTH INTERNATIONAL CONFERENCE ON MANAGEMENT SCIENCE AND ENGINEERING MANAGEMENT, 2015, 362 : 201 - 207
[37] Workload balancing on agents for business process efficiency based on stochastic model
Ha, BH
Bae, J
Kang, SH
BUSINESS PROCESS MANAGEMENT, 2004, 3080 : 195 - 210
[38] Forecasted Inflation Based Block Replacement Model Using Stochastic Process
Srinivas, B.
Gajanana, S.
Reddy, K. Hemanchandra
DYNAMICS OF MACHINES AND MECHANISMS, INDUSTRIAL RESEARCH, 2014, 592-594 : 2716 - +
[39] Accelerated, Optimal and Parallel: Some results on model-based stochastic optimization
Chadha, Karan
Cheng, Gary
Duchi, John
INTERNATIONAL CONFERENCE ON MACHINE LEARNING, VOL 162, 2022,
[40] Synthesis of optimal control of stochastic observations based on a priori information model of measurements
Sokolov, S.V.
Pogorelov, V.A.
Journal of Automation and Information Sciences, 1999, 31 (1-3): : 49 - 59

← 1 2 3 4 5 →