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arXiv · 2306.16287

A Review on Optimality Investigation Strategies for the Balanced Assignment Problem

Anurag Dutta·K. Lakshmanan·A. Ramamoorthy·Liton Chandra Voumik·John Harshith·John Pravin Motha
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Abstract

Mathematical Selection is a method in which we select a particular choice from a set of such. It have always been an interesting field of study for mathematicians. Accordingly, Combinatorial Optimization is a sub field of this domain of Mathematical Selection, where we generally, deal with problems subjecting to Operation Research, Artificial Intelligence and many more promising domains. In a broader sense, an optimization problem entails maximising or minimising a real function by systematically selecting input values from within an allowed set and computing the function's value. A broad region of applied mathematics is the generalisation of metaheuristic theory and methods to other formulations. More broadly, optimization entails determining the finest virtues of some fitness function, offered a fixed space, which may include a variety of distinct types of decision variables and contexts. In this work, we will be working on the famous Balanced Assignment Problem, and will propose a comparative analysis on the Complexity Metrics of Computational Time for different Notions of solving the Balanced Assignment Problem.

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Anurag Dutta, K. Lakshmanan, A. Ramamoorthy, Liton Chandra Voumik, John Harshith, John Pravin Motha. 2023-06-28. A Review on Optimality Investigation Strategies for the Balanced Assignment Problem. https://arxiv.org/abs/2306.16287

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