In this paper the authors study special barrier functions for the convex cones, which are the sum of a self-concordant barrier for the cone and a positive-semidefinite quadratric form.

We consider unconstrained finite minimax problems where the objective function is described as a maximum of functions f <Superscript>k</Superscript>∈C <Superscript>3</Superscript>(ℜ<Superscript>n</Superscript>,ℜ). We propose a parametric embedding for the minimax problem and, assuming that the corresponding parametric optimization problem belongs to the generic class...</superscript></superscript></superscript>

We consider unconstrained finite minimax problems where the objective function is described as a maximum of functions f k ∈C 3 (ℜ n,ℜ). We propose a parametric embedding for the minimax problem and, assuming that the corresponding parametric optimization problem belongs to the generic...

Recent studies have demonstrated the effectiveness of applying adaptive memory tabu search procedures to combinatorial optimization problems. In this paper we describe the development and use of such an approach to solve binary quadratic programs. Computational experience is reported, showing...

Planning languages and spreadsheet systems are very popular, and the number of new users is increasing dramatically. On larger computers, IFPS, System W, and FCS-EPS are among the most widely used systems; while on personal computers, Multiplan and 1-2-3 enjoy great popularity. Currently, such...

In an early paper, Griffith and Stewart (Griffith, R. E., R. A. Stewart. 1961. A nonlinear programming technique for the optimization of continuous processing systems. Management Sci. 7 379--392.) presented a method for applying linear programming to a linearized form of some nonlinear...

A lower bound on the total error in an accounting population is required, in conjunction with the point estimate of the total error amount and the upper bound, when adjusting an account to determine the amount of the adjustment. This paper extends the multinomial methodology for obtaining an...