Managing capacities and structures in stochastic networks
First Claim
1. A computer-implemented method for managing structures in stochastic networks comprising:
- creating a general analytical model for a stochastic network;
decomposing the general analytic model into a set of one or more decomposed analytic models;
generating an optimization problem based on capacities and a topological configuration of network structures in each of the one or more decomposed analytic models;
iteratively obtaining an approximate solution to the optimization problem by;
specifying an initial iterate value for the optimization variable of a capacity and a network structure to be optimized;
evaluating the network at a current iterate to determine the parameters of a functional form of each decomposed analytical model at the current iterate;
jointly optimizing the decomposed analytical models with the determined parameters to obtain a next iterate of the optimization variables of the capacities and network structures;
determining whether the next iterate meets a pre-determined stopping criteria, and one of;
returning the current iterate as values for the capacities and network structures as an approximate solution if the next iterate meets the pre-determined stopping criteria;
orsetting new iterate values for optimization variables of the capacities and the network structures to be optimized as current iterate values and repeating the evaluating, jointly optimizing and stopping criteria determining at the current iterate values to determine the parameters of the functional form of each decomposed analytic model; and
determining the capacities and the topological configuration of network structures for the stochastic network based on the approximate solution,wherein a programmed hardware processor device is configured to perform one or more of the creating, decomposing, generating, specifying, evaluating, jointly optimizing and stopping criteria determining.
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Abstract
A system, method and computer program product for managing capacities and structures in a stochastic network. The method includes mapping the stochastic network to a general analytic model, e.g., a Brownian model, decomposing the general analytic model of the stochastic network into a set of smaller general analytic models, determining the capacities/structures for the set of analytic models as an intermediate solution for the capacities/structures of the stochastic network; and, determining the capacities/structures for the stochastic network starting at the intermediate solution for the capacities/structures using simulation-based methods.
5 Citations
24 Claims
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1. A computer-implemented method for managing structures in stochastic networks comprising:
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creating a general analytical model for a stochastic network; decomposing the general analytic model into a set of one or more decomposed analytic models; generating an optimization problem based on capacities and a topological configuration of network structures in each of the one or more decomposed analytic models; iteratively obtaining an approximate solution to the optimization problem by; specifying an initial iterate value for the optimization variable of a capacity and a network structure to be optimized; evaluating the network at a current iterate to determine the parameters of a functional form of each decomposed analytical model at the current iterate; jointly optimizing the decomposed analytical models with the determined parameters to obtain a next iterate of the optimization variables of the capacities and network structures; determining whether the next iterate meets a pre-determined stopping criteria, and one of; returning the current iterate as values for the capacities and network structures as an approximate solution if the next iterate meets the pre-determined stopping criteria;
orsetting new iterate values for optimization variables of the capacities and the network structures to be optimized as current iterate values and repeating the evaluating, jointly optimizing and stopping criteria determining at the current iterate values to determine the parameters of the functional form of each decomposed analytic model; and determining the capacities and the topological configuration of network structures for the stochastic network based on the approximate solution, wherein a programmed hardware processor device is configured to perform one or more of the creating, decomposing, generating, specifying, evaluating, jointly optimizing and stopping criteria determining. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10)
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11. A system for managing structures in stochastic networks comprising:
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a memory storage device; a hardware processor device coupled to the memory storage device and configured to perform a method comprising; creating a general analytical model for a stochastic network; decomposing the general analytic model into a set of decomposed analytic models; generating an optimization problem based on capacities and a topological configuration of network structures in each of the one or more decomposed analytic models; iteratively obtaining an approximate solution to the optimization problem by; specifying an initial iterate value for the optimization variable of a capacity and a network structure to be optimized; evaluating the network at a current iterate to determine the parameters of a functional form of each decomposed analytical model at the current iterate; jointly optimizing the decomposed analytical models with the determined parameters to obtain a next iterate of the optimization variables of the capacities and network structures; determining whether the next iterate meets a pre-determined stopping criteria, and one of; returning the current iterate as values for the capacities and network structures as an approximate solution if the next iterate meets the pre-determined stopping criteria;
orsetting new iterate values for optimization variables of the capacities and the network structures to be optimized as current iterate values and repeating the evaluating, jointly optimizing and stopping criteria determining at the current iterate values to determine the parameters of the functional form of each decomposed analytic model; and determining the capacities and the topological configuration of network structures for the stochastic network based on the approximate solution. - View Dependent Claims (12, 13, 14, 15, 16, 17, 18, 19, 20)
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21. A computer program product for managing structures in stochastic networks, the computer program product comprising a storage medium, said storage medium not a propagating signal, said medium readable by a processing circuit and storing instructions run by the processing circuit for performing a method to:
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create a general analytical model for a stochastic network; decompose the general analytic model into a set of decomposed analytic models; generate an optimization problem based on capacities and a topological configuration of network structures in each of the one or more decomposed analytic models, iteratively obtain an approximate solution to the optimization problem by configuring said processing circuit to; specify an initial iterate value for the optimization variable of a capacity and a network structure to be optimized; evaluate the network at a current iterate to determine the parameters of a functional form of each decomposed analytical model at the current iterate; jointly optimize the decomposed analytical models with the determined parameters to obtain a next iterate of the optimization variables of the capacities and network structures; determine whether the next iterate meets a pre-determined stopping criteria, and one of; return the current iterate as values for the capacities and network structures as an approximate solution if the next iterate meets the pre-determined stopping criteria;
orset new iterate values for optimization variables of the capacities and the network structures to be optimized as current iterate values and repeat the evaluating, jointly optimizing and stopping criteria determining at the current iterate values to determine the parameters of the functional form of each decomposed analytic model; and determine the capacities and the topological configuration of network structures for the stochastic network based on the approximate solution. - View Dependent Claims (22, 23, 24)
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Specification