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A MATHEMATICAL PROGRAMMING MODEL FOR THE COEXISTENCE OF COMPETITIONS AND COOPERATIONS PROBLEMS
Coexistence of competitions and cooperat
2007/8/7
We study in this paper a mathematical programming model for thecoexistence of competitions and cooperations problems. Weintroduce a new solution concept, $s$-optimal solution for theproblem, which al...
USING DISPLACED CONE REPRESENTATION IN DEA MODELS FOR NONDOMINATED SOLUTIONS IN MULTIOBJECTIVE PROGRAMMING
Multi-objective programming efficiency
2007/8/7
Concepts revolving around "displaced cones" are used to extend the ideas of nondominated solutions in multiobjective programming. Necessary and sufficient conditions are formed around the additive mod...
A LOGARITHMIC BARRIER NEWTON METHOD FOR SEMIDEFINITE PROGRAMMING
Semidefinite programming logarithmic ba
2007/8/7
In this paper, by analyzing the properties of the central path, we give a logarithmic barrier Newton algorithm for semidefinite programming. It can be seen as an extension of the method for LP problem...
MARKOV DECISION PROGRAMMING-THE FIRST PASSAGE MODEL WITH DENUMERABLE STATE SPACE
Markov decision programming first passag
2007/8/7
0)-optimal stationary policy exists. To find an ε-optimal stationary policy, an algorithm of policy improvement iteration and a method of successive approximations are given.
A SUPERLINEAR CONVERGENT FEASIBLE METHOD FOR NONLINEAR PROGRAMMING WITH NONLINEAR CONSTRAINTS
Constrained optimization successive qua
2007/8/7
A new feasible algorithm is proposed for the minimization of a continuously differentiable function subject to inequality constraints. This algorithm only needs to solve one quadratic programming subp...
ROW-ACTION METHODS FOR CONVEX QUADRATIC PROGRAMMING
Convex quadratic programming linear pro
2007/8/7
This paper gives new algorithms for convex quadratic programming and linear programming. The algorithms mainly deal with nonconstrained maximization problems with simple concave objective functions. T...
The Dantzig/Wolfe linear programming decomposition algorithm has had important economic interpretations as well as a widespread impact on solving large scale linear programming problem. In this paper ...