Linear programming and network flows (2nd ed.)
Linear programming and network flows (2nd ed.)
On an instance of the inverse shortest paths problem
Mathematical Programming: Series A and B
On the use of an inverse shortest paths algorithm for recovering linearly correlated costs
Mathematical Programming: Series A and B
Calculating some inverse linear programming problems
Journal of Computational and Applied Mathematics
A further study on inverse linear programming problems
Journal of Computational and Applied Mathematics
The Complexity Analysis of the Inverse Center Location Problem
Journal of Global Optimization
Operations Research
Inverse conic programming with applications
Operations Research Letters
Hi-index | 0.00 |
In this paper, motivated by the KKT optimality conditions for a sort of quadratic programs, we first introduce a class of nonlinear complementarity problems (NCPs). Then we present and discuss a kind of inverse problems of the NCPs, i.e., for a given feasible decision $\bar{x}$ , we aim to characterize the set of parameter values for which there exists a point $\bar{y}$ such that $(\bar{x},\bar{y})$ forms a solution of the NCP and require the parameter values to be adjusted as little as possible. This leads to an inverse optimization problem. In particular, under 驴 驴, 驴 1 and Frobenius norms as well as affine maps, this paper presents three simple and efficient solution methods for the inverse NCPs. Finally, some preliminary numerical results show that the proposed methods are very promising.