Maximization of Correlation under a Quadratic Constraint

Maximization of A convex quadratic function under linear constraints

Profit maximization solid transportation problem under budget constraint using fuzzy measures

Fixed charge solid transportation problems are formulated as profit maximization problems under a budget constraint at each destination. Here item is purchased in different depots at different prices. Accordingly the item is transported to different destinations from different depots using different vehicles. Unitsare sold from different destinations to the customers at different selling prices...

A Semidefinite Optimization Approach to Quadratic Fractional Optimization with a Strictly Convex Quadratic Constraint

In this paper we consider a fractional optimization problem that minimizes the ratio of two quadratic functions subject to a strictly convex quadratic constraint. First using the extension of Charnes-Cooper transformation, an equivalent homogenized quadratic reformulation of the problem is given. Then we show that under certain assumptions, it can be solved to global optimality using semidefini...

Explicit minimisation of a convex quadratic under a general quadratic constraint 9 July 2007

An analytical solution is provided to the problem of minimising a convex quadratic under a general quadratic (inequality) constraint, additional affine constraints being easily accommodated. Such problems occur widely. The explicit, analytical solution provided offers insight into the diverse nature both of special cases of this problem and of their solution sets. This sheds light on algorithm ...

Throughput Maximization in Multi-Hop Wireless Networks under Secrecy Constraint

This paper analyzes the achievable throughput of multi-hop sensor networks for industrial applications under secrecy constraint. The evaluation scenario comprises sensors that measure some relevant information of the plant that is first processed by an aggregator node and then sent to the control unit. To reach the control unit, a message may travel through relay nodes, which form a multi-hop w...