The structure of departure process and optimal control strategy N* for Geo/G/1 discrete-time queue with multiple server vacations and Min(N, V)-Policy

2017 ◽  
Vol 30 (6) ◽  
pp. 1382-1402
Author(s):  
Shaojun Lan ◽  
Yinghui Tang
Keyword(s):  
Optimal Control ◽  
Discrete Time ◽  
Control Strategy ◽  
Departure Process ◽  
Optimal Control Strategy ◽  
Server Vacations ◽  
Discrete Time Queue

scholarly journals Optimal Control Strategy for a Discrete Time Smoking Model with Specific Saturated Incidence Rate

2018 ◽  
Vol 2018 ◽  
pp. 1-10 ◽  
Author(s):  
Abderrahim Labzai ◽  
Omar Balatif ◽  
Mostafa Rachik
Keyword(s):  
Optimal Control ◽  
Incidence Rate ◽  
Discrete Time ◽  
Control Strategy ◽  
Optimal Controls ◽  
Optimization Strategy ◽  
Optimal Control Strategy ◽  
Saturated Incidence Rate ◽  
Saturated Incidence ◽  
Heavy Smokers

The aim of this paper is to study and investigate the optimal control strategy of a discrete mathematical model of smoking with specific saturated incidence rate. The population that we are going to study is divided into five compartments: potential smokers, light smokers, heavy smokers, temporary quitters of smoking, and permanent quitters of smoking. Our objective is to find the best strategy to reduce the number of light smokers, heavy smokers, and temporary quitters of smoking. We use three control strategies which are awareness programs through media and education, treatment, and psychological support with follow-up. Pontryagins maximum principle in discrete time is used to characterize the optimal controls. The numerical simulation is carried out using MATLAB. Consequently, the obtained results confirm the performance of the optimization strategy.

Dynamics analysis and optimal control strategy for a SIRS epidemic model with two discrete time delays

2020 ◽  
Vol 95 (3) ◽  
pp. 035213
Author(s):  
Linhe Zhu ◽  
Xuewei Wang ◽  
Huihui Zhang ◽  
Shuling Shen ◽  
Yimin Li ◽  
...  
Keyword(s):  
Optimal Control ◽  
Discrete Time ◽  
Control Strategy ◽  
Epidemic Model ◽  
Time Delays ◽  
Dynamics Analysis ◽  
Optimal Control Strategy ◽  
Sirs Epidemic Model

scholarly journals Mathematical Model to Estimate and Predict the COVID-19 Infections in Morocco: Optimal Control Strategy

2020 ◽  
Vol 2020 ◽  
pp. 1-13
Author(s):  
Omar Zakary ◽  
Sara Bidah ◽  
Mostafa Rachik ◽  
Hanane Ferjouchia
Keyword(s):  
Mathematical Model ◽  
At Risk ◽  
Optimal Control ◽  
Discrete Time ◽  
Control Strategy ◽  
Published Data ◽  
Optimal Control Strategy ◽  
Population At Risk ◽  
The Impact ◽  
At Home

In this paper, we aim to estimate and predict the situation of the new coronavirus pandemic (COVID-19) in countries under quarantine measures. First, we present a new discrete-time mathematical model describing the evolution of the COVID-19 in a population under quarantine. We are motivated by the growing numbers of infections and deaths in countries under quarantine to investigate potential causes. We consider two new classes of people, those who respect the quarantine and stay at home, and those who do not respect the quarantine and leave their homes for one or another reason. Second, we use real published data to estimate the parameters of the model, and then, we estimate these populations in Morocco. We investigate the impact of people who underestimate the quarantine by considering an optimal control strategy to reduce this category and then reducing the number of the population at risk in Morocco. We provide several simulations to support our findings.

scholarly journals Mathematical Modeling and Optimal Control Strategy for a Discrete Time Drug Consumption Model

2020 ◽  
Vol 2020 ◽  
pp. 1-10
Author(s):  
Abderrahim Labzai ◽  
Abdelfatah Kouidere ◽  
Bouchaib Khajji ◽  
Omar Balatif ◽  
Mostafa Rachik
Keyword(s):  
Optimal Control ◽  
Discrete Time ◽  
Control Strategy ◽  
Drug Users ◽  
Control Strategies ◽  
Drug Consumption ◽  
Optimal Controls ◽  
Optimization Strategy ◽  
Optimal Control Strategy ◽  
Discrete Mathematical Model

The aim of this paper is to study and investigate the optimal control strategy of a discrete mathematical model of drug consumption. The population that we are going to study is divided into six compartments: potential drug users, light drug users, heavy drug users, heavy drug users-dealers and providers, temporary quitters of drug consumption, and permanent quitters of drug consumption. Our objective is to find the best strategy to reduce the number of light drug users, heavy drug users, heavy drug users-dealers and providers, and temporary quitters of drug consumption. We use four control strategies which are awareness programs through media and education, preventing contact through security campaigns, treatment, and psychological support along with follow-up. Pontryagin’s maximum principle in discrete time is used to characterize the optimal controls. The numerical simulation is carried out using MATLAB. Consequently, the obtained results confirm the effectiveness of the optimization strategy.

scholarly journals A New Simple Epidemic Discrete-Time Model Describing the Dissemination of Information with Optimal Control Strategy

2020 ◽  
Vol 2020 ◽  
pp. 1-11 ◽  
Author(s):  
Hamza Boutayeb ◽  
Sara Bidah ◽  
Omar Zakary ◽  
Mostafa Rachik
Keyword(s):  
Optimal Control ◽  
Discrete Time ◽  
Control Strategy ◽  
Unstable State ◽  
Optimal Control Strategy ◽  
Time Model ◽  
Discrete Time Model ◽  
Before And After ◽  
The Impact ◽  
Information Amount

In this paper, we consider a new discrete-time model that describes the spread of information by sharing in some kind of online environments such as Facebook, WhatsApp, and Twitter. The impact of sharing on the information amount is investigated, which is incorporated in the considered model as a supplement compartment. We consider the possible interactions between individuals and information on the Internet, such as posts, images, and videos. The theory of control is used to show the effectiveness of our optimal control strategy in reducing the information amount and sharers and then decreases the dissemination of false information that can lead to annoying situations and unstable state in the society. Numerical simulations are performed to investigate several scenarios before and after the use of our strategy of control. Furthermore, sensitivity analysis of the information amount on parameters is simulated and discussed.

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