جستجوی مقالات مرتبط با کلیدواژه « کنترل بهینه » در نشریات گروه « صنایع »

Spread of infectious disease forces the nations to cope with the eects of disease using dierent protocols. Vaccination is an eective tool to immunize the individuals against the epidemic. In the case of limited resources of vaccine doses, there should be an appropriate plan to allocate the vaccine properly. During the Covid-19 epidemic, the vaccination was based on age groups while the other protocols like the lockdown policy was implemented which resulted in shop closures. It should be considered that implementing lockdown policies and consequently shop closing result in dierent economic and psychological impacts. Therefore, a new strategy should be designed to cope with such impacts in the similar cases. In this paper, we propose a new strategy, i.e. parallel vaccination, to minimize the social cost of infected individuals as well as economic impact of lockdown policy using SEIR epidemic model. To do so, we consider retailers and shopkeepers as a priority group in addition to the age group. We develop a bi-objective mathematical model to minimize the social cost of infected individuals and economic impact of implementing the lockdown policy. Also, dierential equations of SEIR epidemic model are considered as the constraints of the model to re ect on the dynamicity of the infectious disease. Finally, we determine the required doses of vaccine that should be allocated to each priority group in order to control the epidemic using optimal control theory. An illustrative example inspired by a real case is presented to evaluate the model's performance, and its numerical result is discussed. The results show that applying the new strategy for vaccine allocation leads to reduction in the social cost of infected people and economic impact of lockdown policy simultaneously. Therefore, the policymakers should consider such strategies to control the outbreak of epidemic diseases as well as their side eects like economic and psychological eects.

The problem of solving optimal control of Singular problems in the classic method has a complexity that is solved by approximation of the equations in the problem with orthogonal bases instead of solving the dynamic equation system of a set of static problems. In return for a more relaxed solution, it will face some errors in the computation .however, it has an appropriate precision. Legendre and Fourier series are presented using the specifications of the Fourier transform of Legendre and Fourier series . In this algorithm, the state variables, and the state - derivative variables and the control vector are extended by the orthogonal basis of Legendre and Fourier series with unknown coefficients. in order to compute optimal control vector and optimal path of linear Singular systems with quadratic cost function , we are introduced by using the properties of orthogonal functions introduced by the coefficients and .using the proposed method , the system dynamics are converted into algebraic equations and the problem of dynamic optimization of dynamic space has been mapped to static space optimization problem with quadratic cost function and linear constraints . First, it is used to solve the problem using an orthogonal basis of raw material and then the problem solving with orthogonal basis of Fourier series is repeated. Finally, the application and effectiveness of the proposed method are presented.