首页|Studies from Department of Mathematics Yield New Information about Robotics (Fra ctional Semi-infinite Programming Problems: Optimality Conditions and Duality Vi a Tangential Subdifferentials)
Studies from Department of Mathematics Yield New Information about Robotics (Fra ctional Semi-infinite Programming Problems: Optimality Conditions and Duality Vi a Tangential Subdifferentials)
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By a News Reporter-Staff News Editor at Robotics & Machine Learning Daily News Daily News-Researchers detail new data in Robotic s. According to news reporting originating in Gujarat, India, by NewsRx journali sts, research stated, "In this paper, we have focused on a multiobjective fract ional semi-infinite programming problems in which the constraints and objective functions are tangentiAlly convex. A result has been established to find the tan gential subdifferential of a fractional function, assuming the numerator and the negative of the denominator being tangentiAlly convex functions." Financial support for this research came from Sardar VAllabhbhai National Instit ute of Technology, Surat, India. The news reporters obtained a quote from the research from the Department of Mat hematics, "With this, optimality conditions have been derived using a non-parame tric approach under F-convexity assumption. Further, a Mond-Weir type dual has b een considered and weak and strong duality relations have been developed. Moreov er, an application in robot trajectory planning has been considered and solved u sing MATLAB. In addition, considering the same trajectory as in Vaz et al. (Eur J Oper Res 153(3):607-617, 2004), we have compared the results obtained in MATLA B with the results available in Vaz et al. (Eur J Oper Res 153(3):607-617, 2004) and Haaren-Retagne (A semi-infinite programming algorithm for robot trajectory planning, 1992), where the authors have solved using AMPL. It has been observed that our results are more efficient than the previously available results, with the implementation of MATLAB as it substantiAlly reduces the computational time. "
GujaratIndiaAsiaEmerging Technolog iesMachine LearningRobotRoboticsDepartment of Mathematics
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