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Research Interests: Business, Applied Mathematics, Game Theory, Industrial Organization, Networks, and 10 moreOutsourcing, Supply Chain, Social Science Research Network, Operations and Supply Chain Management, Global Optimization, Nash Equilibrium, Supply Chains, Variational Inequalities, Numerical Analysis and Computational Mathematics, and Supply Chain Network
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Research Interests: Business, Mathematics, Applied Mathematics, Computer Science, Game Theory, and 10 moreNetworks, Outsourcing, Supply Chain, Social Science Research Network, Operations and Supply Chain Management, Global Optimization, Supply Chains, Variational Inequalities, Numerical Analysis and Computational Mathematics, and Supply Chain Network
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ABSTRACT
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Research Interests: Computer Science, Economics, Supply Chain, Electricity, National Security, and 15 morePower Generation, United States, Power Supply, Model development, Finance and Financial Management, General Electric, Electric Power, Decision Maker, Network Model, Flow Pattern, Service Provider, Optimality Condition, Electrical And Electronic Engineering, Supply Chain Network, and Market Participation
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Congested urban transportation networks represent complex systems in which users interact so as to determine their cost-minimizing routes of travel between their points of origin and their destinations. The concept of “user-optimization”... more
Congested urban transportation networks represent complex systems in which users interact so as to determine their cost-minimizing routes of travel between their points of origin and their destinations. The concept of “user-optimization” dates to Wardrop (1952). This concept is to be contrasted with that of “system-optimization” (see, e.g., Dafermos and Sparrow (1969)]) in which the total cost in the network, as represented by a single objective function, is to be minimized.
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ABSTRACT
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Research Interests: Computer Science, Economics, Game Theory, Decision Making, Environmental Management, and 13 moreSupply Chain, Environmental Concern, Social Science Research Network, Multicriteria decision making, Discretization, Theoretical Analysis, Decision Maker, Dynamic System, Global Supply Chain, Electronic Commerce, dynamic model, Continuous time, and Discrete time
It is now well-known that a plethora of equilibrium problems, notably, network equilibrium problems, can be uniformly formulated and studied as finite-dimensional variational inequality problems. Indeed, it was precisely the traffic... more
It is now well-known that a plethora of equilibrium problems, notably, network equilibrium problems, can be uniformly formulated and studied as finite-dimensional variational inequality problems. Indeed, it was precisely the traffic network equilibrium problem, as stated by Smith (1979), and identified by Dafermos (1980) to be a variational inequality problem, that gave birth to the ensuing research activity in variational inequality theory and applications in transportation science, regional science, operations research, and, more recently, in economics.
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In this dissertation, I develop a new theoretical framework for the modeling, pricing analysis, and computation of solutions to electric power supply chains with power generators, suppliers, transmission service providers, and the... more
In this dissertation, I develop a new theoretical framework for the modeling, pricing analysis, and computation of solutions to electric power supply chains with power generators, suppliers, transmission service providers, and the inclusion of consumer demands. In particular, I advocate the application of finite-dimensional variational inequality theory, projected dynamical systems theory, game theory, network theory, and other tools that have been recently proposed for the modeling and analysis of supply chain networks (cf. Nagurney (2006)) to electric power markets. This dissertation contributes to the extant literature on the modeling, analysis, and solution of supply chain networks, including global supply chains, in general, and electric power supply chains, in particular, in the following ways. It develops a theoretical framework for modeling, pricing analysis, and computation of electric power flows/transactions in electric power systems using the rationale for supply chain a...
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Research Interests: Business, Mathematics, Applied Mathematics, Computer Science, Game Theory, and 12 moreIndustrial Organization, Networks, Outsourcing, Supply Chain, Social Science Research Network, Operations and Supply Chain Management, Global Optimization, Nash Equilibrium, Supply Chains, Variational Inequalities, Numerical Analysis and Computational Mathematics, and Supply Chain Network
ABSTRACT A prototypical, general socio-economic system of human migration is formulated and solved as an electronic circuit. In such systems that possess multiple classes, the equilibrium conditions are equivalent to a variational... more
ABSTRACT A prototypical, general socio-economic system of human migration is formulated and solved as an electronic circuit. In such systems that possess multiple classes, the equilibrium conditions are equivalent to a variational inequality, rather than to an optimization problem. The circuit was solved using circuit simulation software. The equilibrium utilities and populations of the different classes of migrants at the locations are then recovered directly from the circuit simulation results. The dynamical adjustment processes of the system are obtained from the transient solution