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In this paper, an algorithm is developed to solve a multilevel mono-objective linear programming problem (ML(MO)LPP), where the constructive adaptive method of linear programming is nested. This procedure is the modified version of the SB.…

Optimization and Control · Mathematics 2022-10-27 Mustapha Kaci , Sonia Radjef

Efficient personnel scheduling plays a significant role in matching workload demand in organizations. However, staff scheduling is sometimes affected by unexpected events, such as the COVID-19 pandemic, that disrupt regular operations.…

Optimization and Control · Mathematics 2023-01-10 Mansoor Davoodi , Ana Batista , Abhishek Senapati , Justin M. Calabrese

In this work, we address a task allocation problem for human multi-robot settings. Given a set of tasks to perform, we formulate a general Mixed-Integer Linear Programming (MILP) problem aiming at minimizing the overall execution time while…

Robotics · Computer Science 2021-09-20 Martina Lippi , Alessandro Marino

Vaccination campaigns have saved thousands of lives, reaching the farthest places in the world. These campaigns have required substantial investments and accurate coordination between several actors within the vaccine supply chain. Despite…

The outbreak of COVID-19 led to a record-breaking race to develop a vaccine. However, the limited vaccine capacity creates another massive challenge: how to distribute vaccines to mitigate the near-end impact of the pandemic? In the United…

Populations and Evolution · Quantitative Biology 2021-07-20 Dimitris Bertsimas , Vassilis Digalakis , Alexander Jacquillat , Michael Lingzhi Li , Alessandro Previero

The pandemic caused by the SARS-CoV-2 virus has exposed many flaws in the decision-making strategies used to distribute resources to combat global health crises. In this paper, we leverage reinforcement learning and optimization to improve…

Artificial Intelligence · Computer Science 2021-01-06 Lawrence Thul , Warren Powell

Visible Light Communication (VLC) has been widely investigated during the last decade due to its ability to provide high data rates with low power consumption. In general, resource management is an important issue in cellular networks that…

Networking and Internet Architecture · Computer Science 2021-05-25 Abdelrahman S. Elgamal , Osama Z. Alsulami , Ahmad Adnan Qidan , Taisir E. H. El-Gorashi , Jaafar M. H. Elmirghani

The efficient allocation of human resources is a critical concern in software development and other industries. This paper introduces a rigorous mathematical methodology for task assignment, employing Mixed Integer Linear Programming (MILP)…

Optimization and Control · Mathematics 2025-12-16 Lokendra Kumar , Neelesh S. Upadhye , Kannan Piedy

The article provides a solution algorithm for the linear programming problem (LPP) with the latter being presented as an antagonistic matrix game so the game's further solution is based on the iterative method. The algorithm is presented as…

Optimization and Control · Mathematics 2019-05-15 Vilisov V. Ya

Now that SARS-CoV-2 (COVID-19) vaccines are developed, it is very important to plan its distribution strategy. In this paper, we formulated a multi-objective linear programming model to optimize vaccine distribution and applied it to the…

Populations and Evolution · Quantitative Biology 2021-01-28 Jose Marie Antonio Minoza , Vena Pearl Bongolan , Joshua Frankie Rayo

Since early 2020, the world has been dealing with a raging pandemic outbreak: COVID-19. A year later, vaccines have become accessible, but in limited quantities, so that governments needed to devise a strategy to decide which part of the…

Populations and Evolution · Quantitative Biology 2022-04-13 Sander Tonkens , Paul de Klaver , Mauro Salazar

Because an agents resources dictate what actions it can possibly take, it should plan which resources it holds over time carefully, considering its inherent limitations (such as power or payload restrictions), the competing needs of other…

Multiagent Systems · Computer Science 2014-01-17 Jianhui Wu , Edmund H. Durfee

Long-term care facilities have been widely affected by the COVID-19 pandemic. Retirement homes are particularly vulnerable due to the higher mortality risk of infected elderly individuals. Once an outbreak occurs, suppressing the spread of…

Optimization and Control · Mathematics 2022-04-06 Mansoor Davoodi , Ana Batista , Abhishek Senapati , Weronika Schlechte-Welnicz , Birgit Wagner , Justin M. Calabrese

In this paper, we propose a Feasible Sequential Linear Programming (FSLP) algorithm applied to time-optimal control problems (TOCP) obtained through direct multiple shooting discretization. This method is motivated by TOCP with nonlinear…

Oxygen is an essential life-saving medicine used in several indications at all levels of healthcare. During the COVID-19 pandemic, the demand for liquid medical oxygen (LMO) has increased significantly due to the occurrence of lung…

Systems and Control · Electrical Eng. & Systems 2023-05-10 Lejun Zhou , Lavanya Marla , Varun Gupta , Ankur Mani

When solving multi-objective programs, the number of objectives essentially determines the computing time. This can even lead to practically unsolvable problems. Consequently, it is worthwhile to reduce the number of objectives without…

Optimization and Control · Mathematics 2025-08-29 Andreas Löhne , Pascal Zillmann

The optimal allocation of vaccines to population subgroups over time is a challenging health care management problem. In the context of a pandemic, the interaction between vaccination policies adopted by multiple agents and the cooperation…

Optimization and Control · Mathematics 2021-09-22 David Rey , Ahmed W Hammad , Meead Saberi

We consider online resource allocation under a typical non-profit setting, where limited or even scarce resources are administered by a not-for-profit organization like a government. We focus on the internal-equity by assuming that arriving…

Computer Science and Game Theory · Computer Science 2021-12-10 Pan Xu , Yifan Xu

This paper addresses the challenge of planning a sequence of tasks to be performed by multiple robots while minimizing the overall completion time subject to timing and precedence constraints. Our approach uses the Timed Partial Orders…

In this paper, we address the optimization of wavelength resource allocation in multi-user WDM Visible Light Communication (VLC) systems. A Mixed Integer Linear Programming (MILP) model that maximizes the sum of…

Signal Processing · Electrical Eng. & Systems 2019-04-10 Sarah O. M. Saeed , Sanaa Hamid Mohamed , Osama Zwaid Alsulami , Mohammed T. Alresheedi , Jaafar M. H. Elmirghani
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