Yuri Yatsenko
Houston Baptist University, Business & Economics, Department Member
- Dr. Yuri Yatsenko is an internationally recognized expert in modeling and optimization of economic, industrial, and e... moreDr. Yuri Yatsenko is an internationally recognized expert in modeling and optimization of economic, industrial, and environmental systems, technological change, innovations, and Operations Research. During his career, he was a professor at science, technology and business schools in USA, Ukraine, Poland, and Canada and held senior analyst positions at three international companies in USA and Canada. In 2002-2022, he has been a business professor at Houston Baptist University.edit
The paper discusses and explores several prospective economic-environmental models with separate investments into mitigation and adaptation. The offered model generates essential implications about associated long-term environmental... more
The paper discusses and explores several prospective economic-environmental models with separate investments into mitigation and adaptation. The offered model generates essential implications about associated long-term environmental policies such as the optimal adaptation/mitigation ratio. The author focuses on an analytic model of two countries in competitive and collaborative cases.
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The equipment replacement under technological change is a developing dynamic system with controlled delay (unknown equipment lifetime) in changing environment. The paper analyzes discrete and continuous-time models of equipment... more
The equipment replacement under technological change is a developing dynamic system with controlled delay (unknown equipment lifetime) in changing environment. The paper analyzes discrete and continuous-time models of equipment replacement and compares their qualitative dynamics. In particular, it explains the source of minimum forecast horizon property in the discrete models and shows that there is no forecast horizon in continuous models. The forecast horizon is the optimization horizon such that the first optimal lifetime remains the same for any longer horizon
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The paper focuses on modeling of public health measures to control the COVID‐19 pandemic. The authors suggest a flexible integral model with distributed lags, which realistically describes COVID‐19 infectiousness period from clinical... more
The paper focuses on modeling of public health measures to control the COVID‐19 pandemic. The authors suggest a flexible integral model with distributed lags, which realistically describes COVID‐19 infectiousness period from clinical data. It contains susceptible–infectious–recovered (SIR), susceptible–exposed–infectious–recovered (SEIR), and other epidemic models as special cases. The model is used for assessing how government decisions to lockdown and reopen the economy affect epidemic spread. The authors demonstrate essential differences in transition and asymptotic dynamics of the integral model and the SIR model after lockdown. The provided simulation on real data accurately describes several waves of the COVID‐19 epidemic in the United States and is in good correspondence with government actions to curb the epidemic.
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We consider a nonlinear profit maximization problem in the Lotka–McKendrick model of age-structured harvested population describing farmed populations in agriculture and aquaculture. The control fu...
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This chapter explores aggregate optimization models of the neoclassic economic growth theory, which are based on the concept of production functions. The models are described by ordinary differential equations and involve static and... more
This chapter explores aggregate optimization models of the neoclassic economic growth theory, which are based on the concept of production functions. The models are described by ordinary differential equations and involve static and dynamic optimization. Section 2.1 analyzes production functions with several inputs, their fundamental characteristics, and major types (Cobb–Douglas, CES, Leontief, and linear). Special attention is given to two-factor production functions and their use in the neoclassic models of economic growth. Sections 2.2 and 2.3 describe and analyze the well-known Solow–Swan and Solow–Ramsey models. Section 2.4 contains maximum principles used to analyze dynamic optimization problems in this and other chapters.
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The modeling of pollution dissemination in water is based on a mathematical description of hydrodynamic, hydraulic, and physical–chemical processes that control pollution transfer in water reservoirs. Section 9.1 describes the structure... more
The modeling of pollution dissemination in water is based on a mathematical description of hydrodynamic, hydraulic, and physical–chemical processes that control pollution transfer in water reservoirs. Section 9.1 describes the structure and classification of such models. Section 9.2 discusses a general three-dimensional model of water pollution, which includes transport and diffusion of pollutants in dissolved state, suspension, and ground deposits, adsorption and sedimentation of pollutants, subjected to water dynamics and boundary conditions of water reservoirs, and pollution sources. Section 9.3 describes a two-dimensional horizontal model of water pollution dissemination. Section 9.4 presents a simple one-dimensional model and its analytic solutions for one point source of pollutant. Section 9.5 explores compartmental models of water pollutions and related problems of water pollution control.
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The modeling of pollution dissemination in water is based on a mathematical description of hydrodynamic, hydraulic, and physical–chemical processes that control pollution transfer in water reservoirs. Section 9.1 describes the structure... more
The modeling of pollution dissemination in water is based on a mathematical description of hydrodynamic, hydraulic, and physical–chemical processes that control pollution transfer in water reservoirs. Section 9.1 describes the structure and classification of such models. Section 9.2 discusses a general three-dimensional model of water pollution, which includes transport and diffusion of pollutants in dissolved state, suspension, and ground deposits, adsorption and sedimentation of pollutants, subjected to water dynamics and boundary conditions of water reservoirs, and pollution sources. Section 9.3 describes a two-dimensional horizontal model of water pollution dissemination. Section 9.4 presents a simple one-dimensional model and its analytic solutions for one point source of pollutant. Section 9.5 explores compartmental models of water pollutions and related problems of water pollution control.
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PurposeDespite the existence of multiple asset replacement theories, the economic life replacement method remains a major practical technique for making rational machine replacement decisions. The purpose of this paper is to bridge this... more
PurposeDespite the existence of multiple asset replacement theories, the economic life replacement method remains a major practical technique for making rational machine replacement decisions. The purpose of this paper is to bridge this method with comprehensive data analytic tools and make it applicable it to modern business reality with abundant data on operating and replacement costs.Design/methodology/approachThis study employs operations research, discrete and continuous optimization, applied mathematical modeling, data analytics, industrial economics and real options theory.FindingsConstructed stochastic algorithms extend the deterministic economic life method and are compared to the contemporary theory of stochastic asset replacement based on real options and dynamic programming. It is proven that both techniques deliver similar results when the cost volatility is small. A major theoretic finding is that the cost uncertainty speeds up the replacement decision.Research limitat...
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Economic data for the last two centuries has demonstrated the presence of a self-sustaining mechanism of cumulative productivity growth, known as technical progress or technological change. In modern times, the technical progress affects... more
Economic data for the last two centuries has demonstrated the presence of a self-sustaining mechanism of cumulative productivity growth, known as technical progress or technological change. In modern times, the technical progress affects not only the efficiency of the economy, but also the natural environment and entire lifestyle of human society. Section 3.1 provides a comprehensive review of major directions and trends in the modeling of technical progress, including: autonomous, induced, exogenous and endogenous, embodied and disembodied technological change, and technological change as a separate sector of the economy. Section 3.2 analyzes the classic Solow–Swan, Shell, and Ramsey models of economic dynamics with exogenous technological change. Section 3.3 explores modern one- and two-sector models with endogenous technological change, physical and human capital, and knowledge accumulation. Substitution, diffusion, and evolution models of technological innovations are briefly discussed in Sect. 3.4.
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The paper deals with one optimal control problem for integral dynamical model with unknowns in lower integral limits. The structure and asymptotic behaviour of optimal model trajectories are studied, especially the turn-pike properties... more
The paper deals with one optimal control problem for integral dynamical model with unknowns in lower integral limits. The structure and asymptotic behaviour of optimal model trajectories are studied, especially the turn-pike properties are established.
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We consider the optimal control of nonlinear integral equations with endogenous delay and state constraints, which describe a developing economy subjected to resource constraints. The economy invests in new resource-efficient... more
We consider the optimal control of nonlinear integral equations with endogenous delay and state constraints, which describe a developing economy subjected to resource constraints. The economy invests in new resource-efficient technologies, invests in new capital, and scraps obsolete capital. We derive the optimality condition and determine long-term asymptotically exponential trajectories that optimally combine scrapping the dirtiest capital and developing new clean technologies. Next, we study the short-term dynamics of the model and show that it leads to a sustainable growth with active resource constraint.
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The paper develops a theoretical background for modelling and optimization of the impact of information technologies on the sustainable economic development and consumption of key resources (energy, water, environmental quality) in... more
The paper develops a theoretical background for modelling and optimization of the impact of information technologies on the sustainable economic development and consumption of key resources (energy, water, environmental quality) in Ukraine. The current state-of-the-art, modeling objectives, investigation methods, necessary modelling stages, and possible practical outcomes are described, and some priority problems are outlined. The discussed investigation techniques include system analysis, vintage capital models, the theory of technological change, the economics of networks, optimization methods, market surveys, and numeric simulation
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Pollution mitigation and environmental adaptation are essential components of long-term environmental policies to combat environmental damages on national and international levels. A suggested economic-environmental model aims to analyze... more
Pollution mitigation and environmental adaptation are essential components of long-term environmental policies to combat environmental damages on national and international levels. A suggested economic-environmental model aims to analyze strategic behavior of several countries engaged in capital accumulation, pollution mitigation, and environmental adaptation in the context of an environmental common good. Both cooperative and non-cooperative strategies are discussed. The non-cooperative strategy is a dynamic game in which each country makes its own environmental decision following the open-loop Nash equilibrium. The cooperative social planner problem assumes an international environmental agreement in force. It is shown that the non-cooperative strategy in multi-country world leads to over-production, over-consumption, over-adaptation, over-pollution, and resulting negative impact on ecosystems
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A nonlinear optimal control problem in the Lotka–McKendrick population model is studied. It describes rational management of age-structured farmed populations in aquaculture and indoor farms. Employing generalized functions, we prove the... more
A nonlinear optimal control problem in the Lotka–McKendrick population model is studied. It describes rational management of age-structured farmed populations in aquaculture and indoor farms. Employing generalized functions, we prove the impulse nature of optimal harvesting. Exact analytic solutions for sustainable harvesting strategies are obtained and used to analyze the optimal dynamics of harvesting age and rotation under technological innovations.
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We consider the optimal control of nonlinear integral equations with endogenous delay and state constraints, which describe a developing economy subjected to resource constraints. The economy invests in new resource-efficient... more
We consider the optimal control of nonlinear integral equations with endogenous delay and state constraints, which describe a developing economy subjected to resource constraints. The economy invests in new resource-efficient technologies, invests in new capital, and scraps obsolete capital. We derive the optimality condition and determine long-term asymptotically exponential trajectories that optimally combine scrapping the dirtiest capital and developing new clean technologies. Next, we study the short-term dynamics of the model and show that it leads to a sustainable growth with active resource constraint.
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... Allen Yan, Yuri Yatsenko. Abstract. The paper analyzes the impact of foreign debt on the sustainability of the individual consumption in the general equilibrium open-economyRamsey model with labor-augmenting technological change. ...
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Mid-infrared Raman generation is demonstrated in gas-filled hollow-core silica fiber pumped by high-power 1.56 μm Er-doped fiber laser. Quantum conversion efficiency up to 8 % and peak output power up to 0.9 kW are achieved.
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4.4 μm Raman laser based on silica fiber is realized for the first time. H2-filled hollow-core silica fiber is used as an active medium. Pumped by high-power 1.56 μm Er-doped fiber laser, the Raman laser generates up to 0.6 kW of peak... more
4.4 μm Raman laser based on silica fiber is realized for the first time. H2-filled hollow-core silica fiber is used as an active medium. Pumped by high-power 1.56 μm Er-doped fiber laser, the Raman laser generates up to 0.6 kW of peak power at 4.4 μm with quantum conversion efficiency up to 15%.
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We conduct an experimental and numerical study on a self-phase modulation induced spectrum compression dynamics of negatively chirped picosecond pulses in the low-loss dispersion-shifted telecom fiber near its zero dispersion wavelength.... more
We conduct an experimental and numerical study on a self-phase modulation induced spectrum compression dynamics of negatively chirped picosecond pulses in the low-loss dispersion-shifted telecom fiber near its zero dispersion wavelength. By fiber length and peak power optimization, record 49-fold spectrum compression of 38 ps, 2.1 nJ negatively chirped Gaussian pulses with compressed spectrum width of 0.23 nm and ≈50% energy confinement at 1560 nm wavelength was achieved, leading to ≈13-times spectral brightness magnification.
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For the first time femtosecond pulse propagation has been numerically and experimentally studied in the hollow-core revolver fiber with a non-coupled cylindrical capillaries-based cladding, fabricated for high-power ultra-short pulse... more
For the first time femtosecond pulse propagation has been numerically and experimentally studied in the hollow-core revolver fiber with a non-coupled cylindrical capillaries-based cladding, fabricated for high-power ultra-short pulse delivery in the telecom band near 1.55 μm.