June Dong - Academia.edu (original) (raw)

Papers by June Dong

Research paper thumbnail of Competition for Medical Supplies Under Stochastic Demand in the Covid-19 Pandemic: A Generalized Nash Equilibrium Framework

Springer Optimization and Its Applications, 2020

The Covid-19 pandemic has negatively impacted virtually all economic and social activities across... more The Covid-19 pandemic has negatively impacted virtually all economic and social activities across the globe. Presently, since there is still no vaccine and no curative treatments for this disease, medical supplies in the form of Personal Protective Equipment and ventilators are sorely needed for healthcare workers and certain patients, respectively. The fact that this healthcare disaster is not limited in time and space has resulted in intense global competition for medical supplies. In this paper, we construct the first Generalized Nash Equilibrium model with stochastic demands to model competition among organizations at demand points for medical supplies. The model includes multiple supply points and multiple demand points, along with prices of the medical items and generalized costs associated with transportation. The theoretical constructs are provided and a Variational Equilibrium utilized to enable alternative variational inequality formulations. A qualitative analysis is presented and an algorithm proposed, along with convergence results. Illustrative examples are detailed as well as numerical examples that are solved with the implemented algorithm. The results reveal the impacts of the addition of supply points as well as of demand points

Research paper thumbnail of Supply Chain Networks with Multicritera Decision Makers

Transportation and Traffic Theory in the 21st Century, 2002

Appears in revised form in Transportation and Traffic Theory in the 21st Century,

Research paper thumbnail of Modeling of Covid‐19 trade measures on essential products: a multiproduct, multicountry spatial price equilibrium framework

International Transactions in Operational Research, 2021

In this paper, we develop a unified variational inequality framework in the context of spatial pr... more In this paper, we develop a unified variational inequality framework in the context of spatial price network equilibrium problems that handles multiple products with multiple demand and supply markets in multiple countries as well as multiple transportation routes. The model incorporates a plethora of distinct trade measures, which is particularly important in the pandemic, since PPEs and other essential products are in high demand, but short in supply globally. In the model, product flows as well as prices at the supply markets and the demand markets in different countries are variables which allows us to seamlessly introduce various trade measures, including tariffs, quotas, as well as price floors and ceilings. Qualitative properties are analyzed. Numerical examples are provided to illustrate the impacts of the trade measures on equilibrium product path and link flows, and on prices, and demand and supply quantities. Given the relevance of the trade measures in the world today and discussions concerning the impacts, the framework constructed in this paper is especially timely.

Research paper thumbnail of Supernetworks: decision-making for the information age

Choice Reviews Online, 2002

... top of page ABSTRACT. An abstract is not available. top of page AUTHORS. Anna Nagurney No con... more ... top of page ABSTRACT. An abstract is not available. top of page AUTHORS. Anna Nagurney No contact information provided yet. Bibliometrics: publication history Publication years, 1983-2010. Publication count, 31. Citation Count, 33. Available for download, 1. ...

Research paper thumbnail of Variational Inequalities for the Computation of Financial Equilibria in the Presence of Taxes and Price Controls

Advances in Computational Economics, 1994

... Gabay and Moulin, 1980; Dafermos and Nagurney, 1987), spatial price equilibrium problems (cf.... more ... Gabay and Moulin, 1980; Dafermos and Nagurney, 1987), spatial price equilibrium problems (cf. Florian and Los, 1982; and Dafermos and Nagurney, 1984), and general economic equilibrium problems (cf. ... Page 206. 190 Anna Nagurney and June Dong (cf. ...

Research paper thumbnail of Traffic Network Equilibrium and the Environment

Applied Optimization, 2002

A traffic network equilibrium model is developed in which the users or travelers on the network a... more A traffic network equilibrium model is developed in which the users or travelers on the network are assumed to be multicriteria decision-makers with an explicit environmental criterion. The members of a class of traveler perceive their generalized cost on a route as a weighting of travel time, travel cost, and the emissions generated. The model allows the weights to be not only class-dependent but also link-dependent. The multiclass, multicriteria network equilibrium conditions are shown to satisfy a finite-dimensional variational inequality problem. Qualitative properties of the solution are obtained. A special case of the model is then used to obtain sharper results and to illustrate the relationship between the weights and the attainment of a desired environmental quality standard. An algorithm is proposed for the computation of the equilibrium pattern, along with convergence results, and then applied to solve a numerical example. The multiclass, multicriteria network equilibrium model is the first to incorporate an environmental criterion.

Research paper thumbnail of Financial Networks and Optimally-Sized Portfolios

Computational Economics

In this paper, we consider the financial equilibrium problem consisting of multiple sectors, each... more In this paper, we consider the financial equilibrium problem consisting of multiple sectors, each of which seeks to determine the optimal size of its portfolio, along with its optimal holdings of assets as well as liabilities. We construct the network underlying each sector's optimization problem and then provide the equilibrium conditions and the equivalent variational inequality formulation. We identify the financial network that represents the system in equilibrium and propose the modified projection method for the computation of the equilibrium assets, liabilities, portfolio sizes, and prices. The algorithm decomposes the problem into network subproblems. We then provide numerical examples illustrating the model and the computational approach. Copyright 2001 by Kluwer Academic Publishers

Research paper thumbnail of Multicriteria Spatial Price Networks: Statics and Dynamics

Nonconvex Optimization and Its Applications, 2003

In this paper, we develop a spatial price network equilibrium model in which consumers at the dem... more In this paper, we develop a spatial price network equilibrium model in which consumers at the demand markets consider both the transportation cost and the transportation time associated with obtaining the particular commodity. We provide the governing equilibrium conditions for the multicriteria spatial price problem and derive the variational inequality formulation. We establish existence and uniqueness of the equilibrium commodity shipment and demand price pattern and then propose a dynamic tatonnement process whose set of stationary points coincides with the set of solutions of the variational inequality problem. An iterative scheme is described which provides a time discretization of the continuous time adjustment process and which converges to a stationary point. Numerical examples are given for illustrative purposes.

Research paper thumbnail of F INFORMATION COMMERCE & TECHNOLOGY-Management of knowledge intensive systems as supernetworks: Modelling, analysis, computations and applications Fa: 160

Research paper thumbnail of 16. Supply chain supernetworks with random demands

Research paper thumbnail of A supply chain network economy: modeling and qualitative analysis

Research paper thumbnail of Public Policy and Diffusion of Innovation

Advances in Quality of Life Research 2001, 2002

ABSTRACT Marketers have traditionally studied diffusionof innovation with a primary focus on thei... more ABSTRACT Marketers have traditionally studied diffusionof innovation with a primary focus on theindividual consumer as a unit of analysis, themajor types of findings being characteristicsof adopter categories and opinion leadership. We propose that this perspective is notadequate from a macromarketing perspective, inwhich the goals are to set public policy forsocietal good or to create an environment whichenables the diffusion of an innovation in a waythat no single marketer could do alone. Insetting public policy which can enable (orinhibit) diffusion of innovation for societalgood, a system composed of a mass socialinfrastructure, a competitive infrastructure,and a technical infrastructure should beconsidered.

Research paper thumbnail of Global Supply Chain Networks and Risk Management: A Multi-Agent Framework

Multiagent based Supply Chain Management

In this paper, we develop a global supply chain network model in which both physical and electron... more In this paper, we develop a global supply chain network model in which both physical and electronic transactions are allowed and in which supply-side risk as well as demand-side risk are included in the formulation. The model consists of three tiers of decision-makers/agents: the manufacturers, the distributors, and the retailers who may be located in the same or in different countries and may conduct their transactions in distinct 1 currencies. We model the optimizing behavior of the various decision-makers, with the manufacturers and the distributors being multicriteria decision-makers, and concerned with both profit maximization and risk minimization. The retailers, in turn, are faced with random demands for the product. We derive the governing equilibrium conditions and establish the finite-dimensional variational inequality formulation. We provide qualitative properties of the equilibrium product flow and price pattern in terms of existence and uniqueness results and also establish conditions under which the proposed computational procedure is guaranteed to converge. Finally, we illustrate the global supply chain network model and the computational procedure through several numerical examples. This research illustrates the modeling, analysis, and computation of solutions to decentralized supply chain networks with multiple agents in the presence of electronic commerce and risk management in the global arena. Moreover, it highlights and applies some of the theoretical tools that are now available for such multi-agent problems.

Research paper thumbnail of Supply chain supernetworks with random demands

Urban and Regional Transportation Modeling

In this paper, we develop a supply chain network model in the form of a supernetwork, in which bo... more In this paper, we develop a supply chain network model in the form of a supernetwork, in which both physical and electronic transactions are allowed. The model consists of three tiers of decision-makers: the manufacturers, the distributors, and the retailers, with the demands associated with the retail outlets being random. We model the optimizing behavior of the various decision-makers, derive the equilibrium conditions, and establish the finite-dimensional variational inequality formulation. We provide qualitative properties of the equilibrium pattern in terms of existence and uniqueness results and also establish conditions under which the proposed computational procedure is guaranteed to converge. We illustrate the supernetwork model through several numerical examples for which the equilibrium prices and product shipments are computed. This is the first multitiered supply chain network equilibrium model with electronic commerce and with random demands for which modeling, qualitative analysis, and computational results have been obtained.

Research paper thumbnail of A supply chain network equilibrium model

Transportation Research Part E: Logistics and Transportation Review, 2002

In this paper, an equilibrium model of a competitive supply chain network is developed. Such a mo... more In this paper, an equilibrium model of a competitive supply chain network is developed. Such a model is sufficiently general to handle many decision-makers and their independent behaviors. The network structure of the supply chain is identified and equilibrium conditions are derived. A finite-dimensional variational inequality formulation is established. Qualitative properties of the equilibrium model and numerical examples are given.

Research paper thumbnail of Paradoxes in networks with zero emission links: implications for telecommunications versus transportation

Transportation Research Part D: Transport and Environment, 2001

In this paper, we consider networks in which a link is characterized by zero emissions as is typi... more In this paper, we consider networks in which a link is characterized by zero emissions as is typical of networks in which certain links correspond to telecommunication links. We identify three new and distinct paradoxical phenomena that can occur in such networks, which demonstrate that so-called``improvements'' to the network may result in increases in total emissions generated. In particular, we illustrate, through speci®c examples, the following: (1) the addition of a link with zero emissions may result in an increase in total emissions with no change in travel demand, (2) the total emissions on a network with a zero emission link may increase with a decrease in travel demand, and (3) the addition of a path connecting an origin/destination (O/D) pair and consisting solely of a zero emission link may result in an increase in total emissions. We then propose an emission pricing policy which guarantees that such paradoxes do not occur. The pricing policy is shown to be equivalent to a particular weighting mechanism associated with the criterion of emission generation provided that the users are now multicriteria decision-makers who seek to minimize both the cost of their route choices as well as the emissions that they generate.

Research paper thumbnail of Spatial economic networks with multicriteria producers and consumers: Statics and dynamics

The Annals of Regional Science, 2002

In this paper, we develop a framework for the formulation, analysis, and computation of solutions... more In this paper, we develop a framework for the formulation, analysis, and computation of solutions to spatial network problems in which the firms are multicriteria decision-makers and the consumers are as well. In particular, the firms, which are involved in the production of a homogeneous commodity, are spatially separated and weight the two criteria of profit maximization and total output maximization in distinct fashion. They are faced with the selection of modes/routes (which are modeled in an aggregated manner) to transport the commodity to the demand markets where consumers, consisting of di¤erent classes, consider the price charged by the producers and weight the transportation cost and the transportation time of the product on the links in an individual manner. We derive the governing equilibrium conditions and present the variational inequality formulation. We provide qualitative properties of the equilibrium commodity shipment and generalized price pattern and then propose a tatonnement process, which we formulate as a projected dynamical system. We give an algorithm for computational purposes and apply it to several numerical examples for illustration purposes. This paper is the first to integrate multicriteria decision-making on the production side and on the consumption side in a basic network context.

Research paper thumbnail of A space-time network for telecommuting versus commuting decision-making

Papers in Regional Science, 2003

In this paper, we develop a theoretical framework for the study of telecommuting versus commuting... more In this paper, we develop a theoretical framework for the study of telecommuting versus commuting decision-making over a fixed time horizon, such as a work week through the use of a space-time network to conceptualize the decision-makers' choices over space and time. The decision-makers are multiclass and multicriteria ones and perceive the criteria of travel cost, travel time, and opportunity cost in an individual fashion. The model is a network equilibrium one and allows for the prediction of the equilibrium flows and, hence, the number of periods that members of each class of decision-makers will telecommute or commute. Qualitative properties of the equilibrium are obtained and an algorithm is given, along with convergence results, and applied to numerical examples.

Research paper thumbnail of Formulation and computation of general financial equilibrium

Optimization, 1992

... For an introduction to flow of funds accounts, we refer the interested reader to Cohen [2]. F... more ... For an introduction to flow of funds accounts, we refer the interested reader to Cohen [2]. For a recent algorithmic approach to the balancing of these accounts, we refer the reader to Nagurney and Hughes [16]. Page 2. 340 A. NAGURNEY ET AL. ...

Research paper thumbnail of Network decomposition of general financial equilibria with transaction costs

Networks, 1996

ABSTRACT In this paper, we developed a new general financial equilibrium model with transaction c... more ABSTRACT In this paper, we developed a new general financial equilibrium model with transaction costs which considers multiple sectors of an economy, each of which seeks to determine its optimal composition of instruments held as assets and as liabilities in its portfolio. The governing equilibrium conditions are shown to satisfy a variational inequality problem, which is then studied in terms of existence and other qualitative properties. A decomposition algorithm is proposed which exploits the underlying generalized network structure of the problem and convergence results obtained. Finally, the algorithm is applied to compute the equilibrium asset, liability, and price pattern in several numerical examples. © 1996 John Wiley & Sons, Inc.

Research paper thumbnail of Competition for Medical Supplies Under Stochastic Demand in the Covid-19 Pandemic: A Generalized Nash Equilibrium Framework

Springer Optimization and Its Applications, 2020

The Covid-19 pandemic has negatively impacted virtually all economic and social activities across... more The Covid-19 pandemic has negatively impacted virtually all economic and social activities across the globe. Presently, since there is still no vaccine and no curative treatments for this disease, medical supplies in the form of Personal Protective Equipment and ventilators are sorely needed for healthcare workers and certain patients, respectively. The fact that this healthcare disaster is not limited in time and space has resulted in intense global competition for medical supplies. In this paper, we construct the first Generalized Nash Equilibrium model with stochastic demands to model competition among organizations at demand points for medical supplies. The model includes multiple supply points and multiple demand points, along with prices of the medical items and generalized costs associated with transportation. The theoretical constructs are provided and a Variational Equilibrium utilized to enable alternative variational inequality formulations. A qualitative analysis is presented and an algorithm proposed, along with convergence results. Illustrative examples are detailed as well as numerical examples that are solved with the implemented algorithm. The results reveal the impacts of the addition of supply points as well as of demand points

Research paper thumbnail of Supply Chain Networks with Multicritera Decision Makers

Transportation and Traffic Theory in the 21st Century, 2002

Appears in revised form in Transportation and Traffic Theory in the 21st Century,

Research paper thumbnail of Modeling of Covid‐19 trade measures on essential products: a multiproduct, multicountry spatial price equilibrium framework

International Transactions in Operational Research, 2021

In this paper, we develop a unified variational inequality framework in the context of spatial pr... more In this paper, we develop a unified variational inequality framework in the context of spatial price network equilibrium problems that handles multiple products with multiple demand and supply markets in multiple countries as well as multiple transportation routes. The model incorporates a plethora of distinct trade measures, which is particularly important in the pandemic, since PPEs and other essential products are in high demand, but short in supply globally. In the model, product flows as well as prices at the supply markets and the demand markets in different countries are variables which allows us to seamlessly introduce various trade measures, including tariffs, quotas, as well as price floors and ceilings. Qualitative properties are analyzed. Numerical examples are provided to illustrate the impacts of the trade measures on equilibrium product path and link flows, and on prices, and demand and supply quantities. Given the relevance of the trade measures in the world today and discussions concerning the impacts, the framework constructed in this paper is especially timely.

Research paper thumbnail of Supernetworks: decision-making for the information age

Choice Reviews Online, 2002

... top of page ABSTRACT. An abstract is not available. top of page AUTHORS. Anna Nagurney No con... more ... top of page ABSTRACT. An abstract is not available. top of page AUTHORS. Anna Nagurney No contact information provided yet. Bibliometrics: publication history Publication years, 1983-2010. Publication count, 31. Citation Count, 33. Available for download, 1. ...

Research paper thumbnail of Variational Inequalities for the Computation of Financial Equilibria in the Presence of Taxes and Price Controls

Advances in Computational Economics, 1994

... Gabay and Moulin, 1980; Dafermos and Nagurney, 1987), spatial price equilibrium problems (cf.... more ... Gabay and Moulin, 1980; Dafermos and Nagurney, 1987), spatial price equilibrium problems (cf. Florian and Los, 1982; and Dafermos and Nagurney, 1984), and general economic equilibrium problems (cf. ... Page 206. 190 Anna Nagurney and June Dong (cf. ...

Research paper thumbnail of Traffic Network Equilibrium and the Environment

Applied Optimization, 2002

A traffic network equilibrium model is developed in which the users or travelers on the network a... more A traffic network equilibrium model is developed in which the users or travelers on the network are assumed to be multicriteria decision-makers with an explicit environmental criterion. The members of a class of traveler perceive their generalized cost on a route as a weighting of travel time, travel cost, and the emissions generated. The model allows the weights to be not only class-dependent but also link-dependent. The multiclass, multicriteria network equilibrium conditions are shown to satisfy a finite-dimensional variational inequality problem. Qualitative properties of the solution are obtained. A special case of the model is then used to obtain sharper results and to illustrate the relationship between the weights and the attainment of a desired environmental quality standard. An algorithm is proposed for the computation of the equilibrium pattern, along with convergence results, and then applied to solve a numerical example. The multiclass, multicriteria network equilibrium model is the first to incorporate an environmental criterion.

Research paper thumbnail of Financial Networks and Optimally-Sized Portfolios

Computational Economics

In this paper, we consider the financial equilibrium problem consisting of multiple sectors, each... more In this paper, we consider the financial equilibrium problem consisting of multiple sectors, each of which seeks to determine the optimal size of its portfolio, along with its optimal holdings of assets as well as liabilities. We construct the network underlying each sector's optimization problem and then provide the equilibrium conditions and the equivalent variational inequality formulation. We identify the financial network that represents the system in equilibrium and propose the modified projection method for the computation of the equilibrium assets, liabilities, portfolio sizes, and prices. The algorithm decomposes the problem into network subproblems. We then provide numerical examples illustrating the model and the computational approach. Copyright 2001 by Kluwer Academic Publishers

Research paper thumbnail of Multicriteria Spatial Price Networks: Statics and Dynamics

Nonconvex Optimization and Its Applications, 2003

In this paper, we develop a spatial price network equilibrium model in which consumers at the dem... more In this paper, we develop a spatial price network equilibrium model in which consumers at the demand markets consider both the transportation cost and the transportation time associated with obtaining the particular commodity. We provide the governing equilibrium conditions for the multicriteria spatial price problem and derive the variational inequality formulation. We establish existence and uniqueness of the equilibrium commodity shipment and demand price pattern and then propose a dynamic tatonnement process whose set of stationary points coincides with the set of solutions of the variational inequality problem. An iterative scheme is described which provides a time discretization of the continuous time adjustment process and which converges to a stationary point. Numerical examples are given for illustrative purposes.

Research paper thumbnail of F INFORMATION COMMERCE & TECHNOLOGY-Management of knowledge intensive systems as supernetworks: Modelling, analysis, computations and applications Fa: 160

Research paper thumbnail of 16. Supply chain supernetworks with random demands

Research paper thumbnail of A supply chain network economy: modeling and qualitative analysis

Research paper thumbnail of Public Policy and Diffusion of Innovation

Advances in Quality of Life Research 2001, 2002

ABSTRACT Marketers have traditionally studied diffusionof innovation with a primary focus on thei... more ABSTRACT Marketers have traditionally studied diffusionof innovation with a primary focus on theindividual consumer as a unit of analysis, themajor types of findings being characteristicsof adopter categories and opinion leadership. We propose that this perspective is notadequate from a macromarketing perspective, inwhich the goals are to set public policy forsocietal good or to create an environment whichenables the diffusion of an innovation in a waythat no single marketer could do alone. Insetting public policy which can enable (orinhibit) diffusion of innovation for societalgood, a system composed of a mass socialinfrastructure, a competitive infrastructure,and a technical infrastructure should beconsidered.

Research paper thumbnail of Global Supply Chain Networks and Risk Management: A Multi-Agent Framework

Multiagent based Supply Chain Management

In this paper, we develop a global supply chain network model in which both physical and electron... more In this paper, we develop a global supply chain network model in which both physical and electronic transactions are allowed and in which supply-side risk as well as demand-side risk are included in the formulation. The model consists of three tiers of decision-makers/agents: the manufacturers, the distributors, and the retailers who may be located in the same or in different countries and may conduct their transactions in distinct 1 currencies. We model the optimizing behavior of the various decision-makers, with the manufacturers and the distributors being multicriteria decision-makers, and concerned with both profit maximization and risk minimization. The retailers, in turn, are faced with random demands for the product. We derive the governing equilibrium conditions and establish the finite-dimensional variational inequality formulation. We provide qualitative properties of the equilibrium product flow and price pattern in terms of existence and uniqueness results and also establish conditions under which the proposed computational procedure is guaranteed to converge. Finally, we illustrate the global supply chain network model and the computational procedure through several numerical examples. This research illustrates the modeling, analysis, and computation of solutions to decentralized supply chain networks with multiple agents in the presence of electronic commerce and risk management in the global arena. Moreover, it highlights and applies some of the theoretical tools that are now available for such multi-agent problems.

Research paper thumbnail of Supply chain supernetworks with random demands

Urban and Regional Transportation Modeling

In this paper, we develop a supply chain network model in the form of a supernetwork, in which bo... more In this paper, we develop a supply chain network model in the form of a supernetwork, in which both physical and electronic transactions are allowed. The model consists of three tiers of decision-makers: the manufacturers, the distributors, and the retailers, with the demands associated with the retail outlets being random. We model the optimizing behavior of the various decision-makers, derive the equilibrium conditions, and establish the finite-dimensional variational inequality formulation. We provide qualitative properties of the equilibrium pattern in terms of existence and uniqueness results and also establish conditions under which the proposed computational procedure is guaranteed to converge. We illustrate the supernetwork model through several numerical examples for which the equilibrium prices and product shipments are computed. This is the first multitiered supply chain network equilibrium model with electronic commerce and with random demands for which modeling, qualitative analysis, and computational results have been obtained.

Research paper thumbnail of A supply chain network equilibrium model

Transportation Research Part E: Logistics and Transportation Review, 2002

In this paper, an equilibrium model of a competitive supply chain network is developed. Such a mo... more In this paper, an equilibrium model of a competitive supply chain network is developed. Such a model is sufficiently general to handle many decision-makers and their independent behaviors. The network structure of the supply chain is identified and equilibrium conditions are derived. A finite-dimensional variational inequality formulation is established. Qualitative properties of the equilibrium model and numerical examples are given.

Research paper thumbnail of Paradoxes in networks with zero emission links: implications for telecommunications versus transportation

Transportation Research Part D: Transport and Environment, 2001

In this paper, we consider networks in which a link is characterized by zero emissions as is typi... more In this paper, we consider networks in which a link is characterized by zero emissions as is typical of networks in which certain links correspond to telecommunication links. We identify three new and distinct paradoxical phenomena that can occur in such networks, which demonstrate that so-called``improvements'' to the network may result in increases in total emissions generated. In particular, we illustrate, through speci®c examples, the following: (1) the addition of a link with zero emissions may result in an increase in total emissions with no change in travel demand, (2) the total emissions on a network with a zero emission link may increase with a decrease in travel demand, and (3) the addition of a path connecting an origin/destination (O/D) pair and consisting solely of a zero emission link may result in an increase in total emissions. We then propose an emission pricing policy which guarantees that such paradoxes do not occur. The pricing policy is shown to be equivalent to a particular weighting mechanism associated with the criterion of emission generation provided that the users are now multicriteria decision-makers who seek to minimize both the cost of their route choices as well as the emissions that they generate.

Research paper thumbnail of Spatial economic networks with multicriteria producers and consumers: Statics and dynamics

The Annals of Regional Science, 2002

In this paper, we develop a framework for the formulation, analysis, and computation of solutions... more In this paper, we develop a framework for the formulation, analysis, and computation of solutions to spatial network problems in which the firms are multicriteria decision-makers and the consumers are as well. In particular, the firms, which are involved in the production of a homogeneous commodity, are spatially separated and weight the two criteria of profit maximization and total output maximization in distinct fashion. They are faced with the selection of modes/routes (which are modeled in an aggregated manner) to transport the commodity to the demand markets where consumers, consisting of di¤erent classes, consider the price charged by the producers and weight the transportation cost and the transportation time of the product on the links in an individual manner. We derive the governing equilibrium conditions and present the variational inequality formulation. We provide qualitative properties of the equilibrium commodity shipment and generalized price pattern and then propose a tatonnement process, which we formulate as a projected dynamical system. We give an algorithm for computational purposes and apply it to several numerical examples for illustration purposes. This paper is the first to integrate multicriteria decision-making on the production side and on the consumption side in a basic network context.

Research paper thumbnail of A space-time network for telecommuting versus commuting decision-making

Papers in Regional Science, 2003

In this paper, we develop a theoretical framework for the study of telecommuting versus commuting... more In this paper, we develop a theoretical framework for the study of telecommuting versus commuting decision-making over a fixed time horizon, such as a work week through the use of a space-time network to conceptualize the decision-makers' choices over space and time. The decision-makers are multiclass and multicriteria ones and perceive the criteria of travel cost, travel time, and opportunity cost in an individual fashion. The model is a network equilibrium one and allows for the prediction of the equilibrium flows and, hence, the number of periods that members of each class of decision-makers will telecommute or commute. Qualitative properties of the equilibrium are obtained and an algorithm is given, along with convergence results, and applied to numerical examples.

Research paper thumbnail of Formulation and computation of general financial equilibrium

Optimization, 1992

... For an introduction to flow of funds accounts, we refer the interested reader to Cohen [2]. F... more ... For an introduction to flow of funds accounts, we refer the interested reader to Cohen [2]. For a recent algorithmic approach to the balancing of these accounts, we refer the reader to Nagurney and Hughes [16]. Page 2. 340 A. NAGURNEY ET AL. ...

Research paper thumbnail of Network decomposition of general financial equilibria with transaction costs

Networks, 1996

ABSTRACT In this paper, we developed a new general financial equilibrium model with transaction c... more ABSTRACT In this paper, we developed a new general financial equilibrium model with transaction costs which considers multiple sectors of an economy, each of which seeks to determine its optimal composition of instruments held as assets and as liabilities in its portfolio. The governing equilibrium conditions are shown to satisfy a variational inequality problem, which is then studied in terms of existence and other qualitative properties. A decomposition algorithm is proposed which exploits the underlying generalized network structure of the problem and convergence results obtained. Finally, the algorithm is applied to compute the equilibrium asset, liability, and price pattern in several numerical examples. © 1996 John Wiley & Sons, Inc.