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In this paper, we introduce the incremental welfare consensus algorithm for solving the energy management problem in a smart grid environment populated with distributed generators and responsive demands. The proposed algorithm is distributed and cooperative such that it eliminates the need for a central energy-management unit, central price coordinator, or leader. The optimum energy solution is found...
This paper studies the problem of optimally allocating a cash injection into a financial system in distress. We investigate a one-period borrower-lender network with no dynamics, in which all debts are due at the same time and have the same seniority. Every node in the network represents a financial institution, and every node is labeled with a nonnegative real number which is the cash on hand that...
This work proposes a distributed algorithm for the energy optimal routing in wireless sensor network. The routing problem is described as a minimum-cost multi-commodity network flow problem by Linear programming. Based on the convex programming theory we use the dual decomposition theorem to derive the distributed algorithm. The algorithm computes the energy optimal routing in the network without...
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