The Experts below are selected from a list of 201 Experts worldwide ranked by ideXlab platform

Mark A Shayman - One of the best experts on this subject based on the ideXlab platform.

  • design optimization of multi sink sensor networks by analogy to Electrostatic Theory
    Wireless Communications and Networking Conference, 2006
    Co-Authors: Mehdi Kalantari, Mark A Shayman
    Abstract:

    In this work we introduce a new mathematical tool for optimization of routes, and topology design in wireless sensor networks. We introduce a vector field formulation that models communication in the network, and routing is performed in the direction of this vector field at every location of the network. The magnitude of the vector field at every location represents the density of amount of data that is being transited through that location. We define the total communication cost in the network as the integral of a quadratic form of the vector field over the network area. Our mathematical machinery is based on partial differential equations analogous to the Maxwell's equations in Electrostatic Theory. We use our vector field model to solve the optimization problem for the case in which there are multiple destinations (sinks) in the network. In order to optimally determine the destination for each sensor, we partition the network into areas, each corresponding to one of the destinations. We define a vector field, which is conservative, and hence it can be written as the gradient of a scalar function (also known as a potential function). Then we show that in the optimal assignment of the communication load of the network to the destinations, the value of that potential function should be equal at the locations of all the destinations. Also, we show that such an optimal partitioning of the network load among the destination is unique, and we give iterations to find the optimal solution

  • WCNC - Design optimization of multi-sink sensor networks by analogy to Electrostatic Theory
    IEEE Wireless Communications and Networking Conference 2006. WCNC 2006., 2006
    Co-Authors: Mehdi Kalantari, Mark A Shayman
    Abstract:

    In this work we introduce a new mathematical tool for optimization of routes, and topology design in wireless sensor networks. We introduce a vector field formulation that models communication in the network, and routing is performed in the direction of this vector field at every location of the network. The magnitude of the vector field at every location represents the density of amount of data that is being transited through that location. We define the total communication cost in the network as the integral of a quadratic form of the vector field over the network area. Our mathematical machinery is based on partial differential equations analogous to the Maxwell's equations in Electrostatic Theory. We use our vector field model to solve the optimization problem for the case in which there are multiple destinations (sinks) in the network. In order to optimally determine the destination for each sensor, we partition the network into areas, each corresponding to one of the destinations. We define a vector field, which is conservative, and hence it can be written as the gradient of a scalar function (also known as a potential function). Then we show that in the optimal assignment of the communication load of the network to the destinations, the value of that potential function should be equal at the locations of all the destinations. Also, we show that such an optimal partitioning of the network load among the destination is unique, and we give iterations to find the optimal solution

  • routing in wireless ad hoc networks by analogy to Electrostatic Theory
    International Conference on Communications, 2004
    Co-Authors: Mehdi Kalantari, Mark A Shayman
    Abstract:

    In this paper we introduce a novel approach for the routing problem in wireless ad hoc networks. Our approach is based on the analogy of the routing problem to the distribution of electric field in a physical media with a given density of charges. We show that the throughput can be significantly increased by choosing routes in such a way that the traffic is spread as uniformly as possible throughout the network. Achieving this uniform spreading requires solution of a set of partial differential equations similar to Maxwell's equations in the Electrostatic Theory. While the main focus in the paper is on the case in which many sources communicate with a single destination, extension to the case of multiple destinations is also described.

  • ICC - Routing in wireless ad hoc networks by analogy to Electrostatic Theory
    2004 IEEE International Conference on Communications (IEEE Cat. No.04CH37577), 2004
    Co-Authors: Mehdi Kalantari, Mark A Shayman
    Abstract:

    In this paper we introduce a novel approach for the routing problem in wireless ad hoc networks. Our approach is based on the analogy of the routing problem to the distribution of electric field in a physical media with a given density of charges. We show that the throughput can be significantly increased by choosing routes in such a way that the traffic is spread as uniformly as possible throughout the network. Achieving this uniform spreading requires solution of a set of partial differential equations similar to Maxwell's equations in the Electrostatic Theory. While the main focus in the paper is on the case in which many sources communicate with a single destination, extension to the case of multiple destinations is also described.

Mehdi Kalantari - One of the best experts on this subject based on the ideXlab platform.

  • design optimization of multi sink sensor networks by analogy to Electrostatic Theory
    Wireless Communications and Networking Conference, 2006
    Co-Authors: Mehdi Kalantari, Mark A Shayman
    Abstract:

    In this work we introduce a new mathematical tool for optimization of routes, and topology design in wireless sensor networks. We introduce a vector field formulation that models communication in the network, and routing is performed in the direction of this vector field at every location of the network. The magnitude of the vector field at every location represents the density of amount of data that is being transited through that location. We define the total communication cost in the network as the integral of a quadratic form of the vector field over the network area. Our mathematical machinery is based on partial differential equations analogous to the Maxwell's equations in Electrostatic Theory. We use our vector field model to solve the optimization problem for the case in which there are multiple destinations (sinks) in the network. In order to optimally determine the destination for each sensor, we partition the network into areas, each corresponding to one of the destinations. We define a vector field, which is conservative, and hence it can be written as the gradient of a scalar function (also known as a potential function). Then we show that in the optimal assignment of the communication load of the network to the destinations, the value of that potential function should be equal at the locations of all the destinations. Also, we show that such an optimal partitioning of the network load among the destination is unique, and we give iterations to find the optimal solution

  • WCNC - Design optimization of multi-sink sensor networks by analogy to Electrostatic Theory
    IEEE Wireless Communications and Networking Conference 2006. WCNC 2006., 2006
    Co-Authors: Mehdi Kalantari, Mark A Shayman
    Abstract:

    In this work we introduce a new mathematical tool for optimization of routes, and topology design in wireless sensor networks. We introduce a vector field formulation that models communication in the network, and routing is performed in the direction of this vector field at every location of the network. The magnitude of the vector field at every location represents the density of amount of data that is being transited through that location. We define the total communication cost in the network as the integral of a quadratic form of the vector field over the network area. Our mathematical machinery is based on partial differential equations analogous to the Maxwell's equations in Electrostatic Theory. We use our vector field model to solve the optimization problem for the case in which there are multiple destinations (sinks) in the network. In order to optimally determine the destination for each sensor, we partition the network into areas, each corresponding to one of the destinations. We define a vector field, which is conservative, and hence it can be written as the gradient of a scalar function (also known as a potential function). Then we show that in the optimal assignment of the communication load of the network to the destinations, the value of that potential function should be equal at the locations of all the destinations. Also, we show that such an optimal partitioning of the network load among the destination is unique, and we give iterations to find the optimal solution

  • routing in wireless ad hoc networks by analogy to Electrostatic Theory
    International Conference on Communications, 2004
    Co-Authors: Mehdi Kalantari, Mark A Shayman
    Abstract:

    In this paper we introduce a novel approach for the routing problem in wireless ad hoc networks. Our approach is based on the analogy of the routing problem to the distribution of electric field in a physical media with a given density of charges. We show that the throughput can be significantly increased by choosing routes in such a way that the traffic is spread as uniformly as possible throughout the network. Achieving this uniform spreading requires solution of a set of partial differential equations similar to Maxwell's equations in the Electrostatic Theory. While the main focus in the paper is on the case in which many sources communicate with a single destination, extension to the case of multiple destinations is also described.

  • ICC - Routing in wireless ad hoc networks by analogy to Electrostatic Theory
    2004 IEEE International Conference on Communications (IEEE Cat. No.04CH37577), 2004
    Co-Authors: Mehdi Kalantari, Mark A Shayman
    Abstract:

    In this paper we introduce a novel approach for the routing problem in wireless ad hoc networks. Our approach is based on the analogy of the routing problem to the distribution of electric field in a physical media with a given density of charges. We show that the throughput can be significantly increased by choosing routes in such a way that the traffic is spread as uniformly as possible throughout the network. Achieving this uniform spreading requires solution of a set of partial differential equations similar to Maxwell's equations in the Electrostatic Theory. While the main focus in the paper is on the case in which many sources communicate with a single destination, extension to the case of multiple destinations is also described.

Jan Ståhlberg - One of the best experts on this subject based on the ideXlab platform.

  • Electrostatic retention model of reversed-phase ion-pair chromatography
    Journal of Chromatography A, 1994
    Co-Authors: Ákos Bartha, Jan Ståhlberg
    Abstract:

    Abstract The theoretical foundation of the Electrostatic Theory of ion-pair chromatography derives from colloid and surface chemistry. In the first part of this paper, the basic concepts of the Theory are discussed with emphasis on the physical principles. The Theory can predict retention changes of a charged solute when varying experimental parameters in ion-pair chromatographic systems. However, because of the interplay between the different parameters, such a prediction is only feasible when using iterative numerical procedures. Therefore, a simplified Theory is developed in the second part where a relationship is derived which separates the contributions of various parameters, such as type and concentration of ion-pairing reagent, ionic strength, concentration of organic modifier and eluent pH. At high surface concentrations of the ion-pairing reagent, competition between the solute and ion-pairing reagent for the limited area of the stationary phase available may occur. It is shown in the third part of the paper that this results in a maximum in the relationship between capacity factor and concentration of ion-pairing reagent in the eluent. In the final section, an extended version of the Electrostatic Theory is developed. It accounts for the effect of accumulation of solute ions in the electrical double layer on the capacity factor. The extended form of the Electrostatic Theory provides the most complete treatment of the retention of charged solutes. However, this is achieved at the cost of developing a complex mathematical formulation.

Ákos Bartha - One of the best experts on this subject based on the ideXlab platform.

  • Electrostatic retention model of reversed-phase ion-pair chromatography
    Journal of Chromatography A, 1994
    Co-Authors: Ákos Bartha, Jan Ståhlberg
    Abstract:

    Abstract The theoretical foundation of the Electrostatic Theory of ion-pair chromatography derives from colloid and surface chemistry. In the first part of this paper, the basic concepts of the Theory are discussed with emphasis on the physical principles. The Theory can predict retention changes of a charged solute when varying experimental parameters in ion-pair chromatographic systems. However, because of the interplay between the different parameters, such a prediction is only feasible when using iterative numerical procedures. Therefore, a simplified Theory is developed in the second part where a relationship is derived which separates the contributions of various parameters, such as type and concentration of ion-pairing reagent, ionic strength, concentration of organic modifier and eluent pH. At high surface concentrations of the ion-pairing reagent, competition between the solute and ion-pairing reagent for the limited area of the stationary phase available may occur. It is shown in the third part of the paper that this results in a maximum in the relationship between capacity factor and concentration of ion-pairing reagent in the eluent. In the final section, an extended version of the Electrostatic Theory is developed. It accounts for the effect of accumulation of solute ions in the electrical double layer on the capacity factor. The extended form of the Electrostatic Theory provides the most complete treatment of the retention of charged solutes. However, this is achieved at the cost of developing a complex mathematical formulation.

Rui-sen Lin - One of the best experts on this subject based on the ideXlab platform.