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Contiuous time inverse vector optimization problems

R. N. Kaul, D. S. Bhatia, Saurabh Aggarwal

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Abstract

In this paper we present a continuous time generalization of nonlinear inverse vector optimization problem. It is shown that finding a solution to inverse vector optimization problem which is efficient with respect to the constraints as well as to the objectives is equivalent to solving a single scalar valued continuous time programming problem. Finally, as a special case, continuous linear inverse vector optimizaton problem is considered.

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What this paper is about

In this paper we present a continuous time generalization of nonlinear inverse vector optimization problem. It is shown that finding a solution to inverse vector optimization problem which is efficient with respect to the constraints as well as to the objectives is equivalent to solving a single scalar valued continuous time programming problem. Finally, as a special case, continuous linear inverse vector optimizaton problem is considered.

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Available abstract

In this paper we present a continuous time generalization of nonlinear inverse vector optimization problem. It is shown that finding a solution to inverse vector optimization problem which is efficient with respect to the constraints as well as to the objectives is equivalent to solving a single scalar valued continuous time programming problem. Finally, as a special case, continuous linear inverse vector optimizaton problem is considered.

Key concepts: Mathematics, Mathematical optimization, Inverse, Vector optimization, Optimization problem, Applied mathematics, Multi-swarm optimization, Geometry

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