Research
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Title : | Karush-Kuhn-Tucker optimality conditions and duality for semi-infinite programming problems |
Area of research : | Mathematical Sciences |
Focus area : | Mathematical Optimization |
Principal Investigator : | Dr. Shiv Kumar Gupta, Indian Institute Of Technology (IIT) Roorkee, Uttarakhand |
Timeline Start Year : | 2024 |
Timeline End Year : | 2027 |
Contact info : | guptashiv[at]gmail[dot]com |
Details
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Executive Summary : | 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. |
Total Budget (INR): | 6,60,000 |
Organizations involved
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Implementing Agency : | Indian Institute Of Technology Roorkee, Uttarakhand |
Funding Agency : | Anusandhan National Research Foundation/ Science and Engineering Research Board |
Source : | Anusandhan National Research Foundation/Science and Engineering Research Board (SERB), DST 2023-24 |