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Open Access Journal Article

Mathematical Programming Approaches to Resource Allocation

by Sophia Harris 1,*
1
Sophia Harris
*
Author to whom correspondence should be addressed.
ORS  2021 3(1):18; https://doi.org/10.69610/j.ors.20210414
Received: 26 February 2021 / Accepted: 25 March 2021 / Published Online: 14 April 2021
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Abstract

The paper explores the application of mathematical programming techniques in addressing complex problems of resource allocation. With the increasing complexity of resource management in various domains, such as project management, logistics, and finance, the need for efficient and optimized solutions has become paramount. This manuscript delves into different mathematical programming models that can be utilized to allocate resources effectively, considering constraints and objectives. The focus is on linear programming, integer programming, and mixed-integer programming, examining their strengths and limitations in different scenarios. The integration of these models with heuristic and metaheuristic algorithms is also discussed, aiming to enhance the robustness and adaptability of the solutions. The paper further analyzes case studies to illustrate the practical implementation of mathematical programming in real-world resource allocation problems, providing insights into the decision-making process and the benefits of optimization in resource management.

Keywords: Mathematical Programming; Resource Allocation; Linear Programming; Integer Programming; Optimization Techniques.;
Copyright: © 2021 by Harris. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY) (Creative Commons Attribution 4.0 International License). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
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APA Style
Harris, S. (2021). Mathematical Programming Approaches to Resource Allocation. Operations Research and Statistics, 3(1), 18. doi:10.69610/j.ors.20210414
ACS Style
Harris, S. Mathematical Programming Approaches to Resource Allocation. Operations Research and Statistics, 2021, 3, 18. doi:10.69610/j.ors.20210414
AMA Style
Harris S. Mathematical Programming Approaches to Resource Allocation. Operations Research and Statistics; 2021, 3(1):18. doi:10.69610/j.ors.20210414
Chicago/Turabian Style
Harris, Sophia 2021. "Mathematical Programming Approaches to Resource Allocation" Operations Research and Statistics 3, no.1:18. doi:10.69610/j.ors.20210414

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ACS Style
Harris, S. Mathematical Programming Approaches to Resource Allocation. Operations Research and Statistics, 2021, 3, 18. doi:10.69610/j.ors.20210414
AMA Style
Harris S. Mathematical Programming Approaches to Resource Allocation. Operations Research and Statistics; 2021, 3(1):18. doi:10.69610/j.ors.20210414
Chicago/Turabian Style
Harris, Sophia 2021. "Mathematical Programming Approaches to Resource Allocation" Operations Research and Statistics 3, no.1:18. doi:10.69610/j.ors.20210414
APA style
Harris, S. (2021). Mathematical Programming Approaches to Resource Allocation. Operations Research and Statistics, 3(1), 18. doi:10.69610/j.ors.20210414

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