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This volume was conceived as a Special Issue of the MDPI journal Mathematics to illustrate and show relevant applications of differential equations in different fields, coherently with the latest trends in applied mathematics research. All the articles that were submitted for publication are valuable, interesting, and original. The readers will certainly appreciate the heterogeneity of the 10 papers included in this book and will discover how helpful all the kinds of differential equations are in a wide range of disciplines. We are confident that this book will be inspirational for young scholars as well.

q-Hermite polynomials --- zeros of q-Hermite polynomials --- differential equation --- splitted separation --- Lie symmetries --- gauss hypergeometric functions --- initial value problem --- Kepler-type orbits --- Runge–Kutta --- differential evolution --- dynamical systems --- stability --- economics --- relationships --- networks --- oscillatory problems --- SEIR ODE model --- COVID-19 transmission --- convalescent plasma transfusion (CPT) --- degeneracy --- elliptic PDE --- ladder operator --- commuting operator --- eigenvalues --- mixing process --- simultaneous differential equations --- variable production rate --- simulated annealing --- financial markets --- investment style --- border collision bifurcation --- fundamental analysis --- technical analysis --- market maker --- differential equations with discontinuous right-hand sides --- Hopfield artificial neural networks --- n/a --- Runge-Kutta

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This research topic aims at enterprise-wide modeling and optimization (EWMO) through the development and application of integrated modeling, simulation and optimization methodologies, and computer-aided tools for reliable and sustainable improvement opportunities within the entire manufacturing network (raw materials, production plants, distribution, retailers, and customers) and its components. This integrated approach incorporates information from the local primary control and supervisory modules into the scheduling/planning formulation. That makes it possible to dynamically react to incidents that occur in the network components at the appropriate decision-making level, requiring fewer resources, emitting less waste, and allowing for better responsiveness in changing market requirements and operational variations, reducing cost, waste, energy consumption and environmental impact, and increasing the benefits. More recently, the exploitation of new technology integration, such as through semantic models in formal knowledge models, allows for the capture and utilization of domain knowledge, human knowledge, and expert knowledge toward comprehensive intelligent management. Otherwise, the development of advanced technologies and tools, such as cyber-physical systems, the Internet of Things, the Industrial Internet of Things, Artificial Intelligence, Big Data, Cloud Computing, Blockchain, etc., have captured the attention of manufacturing enterprises toward intelligent manufacturing systems.

Technology: general issues --- History of engineering & technology --- manufacturing process --- additive manufacturing --- IoT --- computer systems and networks --- 3D printing --- digital twin --- Industry 4.0 --- pharmaceutical manufacturing --- biopharmaceutical manufacturing --- process modeling --- mixed-integer linear programming --- bin-packing problem --- material requirements planning --- agri-supply chain management --- variable production rate --- optimal resources --- imperfect production --- eco-efficient production --- closed-loop scheduling --- scheduling stability --- optimal control and scheduling --- fouling --- heat exchanger networks --- continuous manufacturing --- bioprocessing --- process systems engineering --- single-use technology --- AGV—Automated Guided Vehicles --- DES—Discrete Event Simulation --- FMS—Flexible Manufacturing Systems --- OEE—Overall Equipment Efficiency --- WCLcWorld Class Logistic --- abrasive water jet --- cutting --- surface quality --- quality prediction --- 3D simulation modeling and analysis --- model implementation --- bottleneck analysis --- production costs --- resource conservation --- smart manufacturing --- edge computing --- machine learning --- blockchain --- Industrial Internet of Things --- inventory management --- supply chain --- multi-echelon --- stochastic programming --- reinforcement learning --- digitalisation --- model-based --- computational engineering --- process simulation --- LNG terminal --- operational optimization --- BOG compressor --- MINLP --- enterprise process architecture --- new technologies integration --- process intelligence --- real-time monitoring --- fault detection --- predictive process adjustment --- vacuum gripper --- sensor data --- Tri-X Intelligence --- cyber-physical systems --- human-cyber systems --- intelligent systems --- intelligent manufacturing --- multi-parametric programming --- explicit MPC --- enterprise-wide optimisation --- set-point tracking --- algebraic geometry --- continuous pharmaceutical manufacturing --- model predictive control --- state estimation --- quality-by-control (QbC) --- glidant effects --- plant-model mismatch --- regional logistics --- low-carbon economy --- cloud model --- comprehensive evaluation --- Beijing-Tianjin-Hebei region --- pharmaceutical manufacture --- uncertainty --- operational flexibility --- operational envelopes --- modeling --- n/a --- AGV-Automated Guided Vehicles --- DES-Discrete Event Simulation --- FMS-Flexible Manufacturing Systems --- OEE-Overall Equipment Efficiency

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This research topic aims at enterprise-wide modeling and optimization (EWMO) through the development and application of integrated modeling, simulation and optimization methodologies, and computer-aided tools for reliable and sustainable improvement opportunities within the entire manufacturing network (raw materials, production plants, distribution, retailers, and customers) and its components. This integrated approach incorporates information from the local primary control and supervisory modules into the scheduling/planning formulation. That makes it possible to dynamically react to incidents that occur in the network components at the appropriate decision-making level, requiring fewer resources, emitting less waste, and allowing for better responsiveness in changing market requirements and operational variations, reducing cost, waste, energy consumption and environmental impact, and increasing the benefits. More recently, the exploitation of new technology integration, such as through semantic models in formal knowledge models, allows for the capture and utilization of domain knowledge, human knowledge, and expert knowledge toward comprehensive intelligent management. Otherwise, the development of advanced technologies and tools, such as cyber-physical systems, the Internet of Things, the Industrial Internet of Things, Artificial Intelligence, Big Data, Cloud Computing, Blockchain, etc., have captured the attention of manufacturing enterprises toward intelligent manufacturing systems.

Technology: general issues --- History of engineering & technology --- manufacturing process --- additive manufacturing --- IoT --- computer systems and networks --- 3D printing --- digital twin --- Industry 4.0 --- pharmaceutical manufacturing --- biopharmaceutical manufacturing --- process modeling --- mixed-integer linear programming --- bin-packing problem --- material requirements planning --- agri-supply chain management --- variable production rate --- optimal resources --- imperfect production --- eco-efficient production --- closed-loop scheduling --- scheduling stability --- optimal control and scheduling --- fouling --- heat exchanger networks --- continuous manufacturing --- bioprocessing --- process systems engineering --- single-use technology --- AGV-Automated Guided Vehicles --- DES-Discrete Event Simulation --- FMS-Flexible Manufacturing Systems --- OEE-Overall Equipment Efficiency --- WCLcWorld Class Logistic --- abrasive water jet --- cutting --- surface quality --- quality prediction --- 3D simulation modeling and analysis --- model implementation --- bottleneck analysis --- production costs --- resource conservation --- smart manufacturing --- edge computing --- machine learning --- blockchain --- Industrial Internet of Things --- inventory management --- supply chain --- multi-echelon --- stochastic programming --- reinforcement learning --- digitalisation --- model-based --- computational engineering --- process simulation --- LNG terminal --- operational optimization --- BOG compressor --- MINLP --- enterprise process architecture --- new technologies integration --- process intelligence --- real-time monitoring --- fault detection --- predictive process adjustment --- vacuum gripper --- sensor data --- Tri-X Intelligence --- cyber-physical systems --- human-cyber systems --- intelligent systems --- intelligent manufacturing --- multi-parametric programming --- explicit MPC --- enterprise-wide optimisation --- set-point tracking --- algebraic geometry --- continuous pharmaceutical manufacturing --- model predictive control --- state estimation --- quality-by-control (QbC) --- glidant effects --- plant-model mismatch --- regional logistics --- low-carbon economy --- cloud model --- comprehensive evaluation --- Beijing-Tianjin-Hebei region --- pharmaceutical manufacture --- uncertainty --- operational flexibility --- operational envelopes --- modeling --- manufacturing process --- additive manufacturing --- IoT --- computer systems and networks --- 3D printing --- digital twin --- Industry 4.0 --- pharmaceutical manufacturing --- biopharmaceutical manufacturing --- process modeling --- mixed-integer linear programming --- bin-packing problem --- material requirements planning --- agri-supply chain management --- variable production rate --- optimal resources --- imperfect production --- eco-efficient production --- closed-loop scheduling --- scheduling stability --- optimal control and scheduling --- fouling --- heat exchanger networks --- continuous manufacturing --- bioprocessing --- process systems engineering --- single-use technology --- AGV-Automated Guided Vehicles --- DES-Discrete Event Simulation --- FMS-Flexible Manufacturing Systems --- OEE-Overall Equipment Efficiency --- WCLcWorld Class Logistic --- abrasive water jet --- cutting --- surface quality --- quality prediction --- 3D simulation modeling and analysis --- model implementation --- bottleneck analysis --- production costs --- resource conservation --- smart manufacturing --- edge computing --- machine learning --- blockchain --- Industrial Internet of Things --- inventory management --- supply chain --- multi-echelon --- stochastic programming --- reinforcement learning --- digitalisation --- model-based --- computational engineering --- process simulation --- LNG terminal --- operational optimization --- BOG compressor --- MINLP --- enterprise process architecture --- new technologies integration --- process intelligence --- real-time monitoring --- fault detection --- predictive process adjustment --- vacuum gripper --- sensor data --- Tri-X Intelligence --- cyber-physical systems --- human-cyber systems --- intelligent systems --- intelligent manufacturing --- multi-parametric programming --- explicit MPC --- enterprise-wide optimisation --- set-point tracking --- algebraic geometry --- continuous pharmaceutical manufacturing --- model predictive control --- state estimation --- quality-by-control (QbC) --- glidant effects --- plant-model mismatch --- regional logistics --- low-carbon economy --- cloud model --- comprehensive evaluation --- Beijing-Tianjin-Hebei region --- pharmaceutical manufacture --- uncertainty --- operational flexibility --- operational envelopes --- modeling