Karush-Kuhn-Tucker optimality conditions and duality for semi-infinite programming problems

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Implementing Organization

Indian Institute of Technology (IIT), Roorkee

Principal Investigator

Dr. Shiv Kumar Gupta

Indian Institute Of Technology (IIT) Roorkee, Uttarakhand

About

The aim of this proposal is to reframe various semi-infinite programming problems and to establish optimality conditions under appropriate assumptions. In addition, the proposal will also explore solution algorithms for these problems to derive approximate optimal solutions, based on weaker assumptions. This approach aims to not only develop new algorithms, but also to comprehend the constraints of the existing ones. The study will focus on semi-infinite optimization problems that are non-convex, multi-objective, and fractional. The proposal will also encompass formulating dual models, establishing duality relationships under suitable assumptions, and developing the concept of approximate solutions for semi- infinite problems.

Source

Anusandhan National Research Foundation/Science and Engineering Research Board (SERB), DST 2023-24

Related Research

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Funding Organization

Science and Engineering Research Board (SERB), New Delhi

Anusandhan National Research Foundation (ANRF)

Quick Information

Area of Research

Mathematical Sciences

Focus Area

Mathematical Optimization

Start Year

2024

End Year

2027

Sanction Amount

₹ 6.60 L

Status

Ongoing

Contact

guptashiv@gmail.com

Output

No. of Research Paper

Technologies (If Any)

No. of PhD Produced

No. of Patents

Filed : 00

Grant : 00

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