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We propose new mathematical models of inventory management in a reverse logistics system. The proposed models extend the model introduced by Nahmias and Rivera with the assumption that the demand for newly produced and repaired…

Optimization and Control · Mathematics 2021-01-26 M. Forkan. M. M. Rizvi , M. A. M. Chowdhury

The paper proposes a novel Economic Production Quantity (EPQ) inventory model within a reverse logistics framework, addressing new and repaired products with varying quality and demand patterns. The model integrates production and…

Optimization and Control · Mathematics 2025-09-25 M. M. Rizvi , I. B. Wadhawan

Supply chain management has been concentrated on productive ways to manage flows through a sophisticated vendor, manufacturer, and consumer networks for decades. Recently, energy and material rates have been greatly consumed to improve the…

Computers and Society · Computer Science 2020-10-12 Ahmad Sobhan Abir , Ishtiaq Ahmed Bhuiyan , Mohammad Arani , Md Mashum Billal

In today's global business market place, individual firms no longer compete as independent entities with unique brand names but as integral part of supply chain links. Key to success of any business is satisfying customer's demands on time…

Optimization and Control · Mathematics 2014-08-05 Nelson Christopher Dzupire , Yaw Nkansah-Gyekye

It is a very challenging task to identify the objectives on which a certain decision was based, in particular if several, potentially conflicting criteria are equally important and a continuous set of optimal compromise decisions exists.…

Optimization and Control · Mathematics 2021-03-05 Bennet Gebken , Sebastian Peitz

One of the arduous tasks in supply chain modelling is to build robust models against irregular variations. During the proliferation of time-series analyses and machine learning models, several modifications were proposed such as…

Artificial Intelligence · Computer Science 2020-04-30 Heerok Banerjee , V. Ganapathy , V. M. Shenbagaraman

We present a new inverse optimization methodology for multi-objective convex optimization that accommodates an input solution that may not be Pareto optimal and determines a weight vector that produces a Pareto optimal solution that…

Optimization and Control · Mathematics 2017-06-22 Timothy C. Y. Chan , Taewoo Lee

The rapid uptake of renewable energy sources in the electricity grid leads to a demand in load shaping and flexibility. Energy storage devices such as batteries are a key element to provide solutions to these tasks. However, typically a…

Optimization and Control · Mathematics 2019-07-16 Philipp Sauerteig , Karl Worthmann

Multi-objective integer or mixed-integer programming problems typically have disconnected feasible domains, making the task of constructing an approximation of the Pareto front challenging. The present paper shows that certain algorithms…

Optimization and Control · Mathematics 2021-05-25 Regina S. Burachik , C. Yalçın Kaya , M. Mustafa Rizvi

The article presents a study on the biobjective inventory routing problem. Contrary to most previous research, the problem is treated as a true multi-objective optimization problem, with the goal of identifying Pareto-optimal solutions. Due…

Artificial Intelligence · Computer Science 2011-09-15 Martin Josef Geiger , Marc Sevaux

Inverse problems occur in a variety of parameter identification tasks in engineering. Such problems are challenging in practice, as they require repeated evaluation of computationally expensive forward models. We introduce a unifying…

Optimization and Control · Mathematics 2022-05-02 Simon Weissmann , Ashia Wilson , Jakob Zech

Optimization problems have been the subject of statistical physics approximations. A specially relevant and general scenario is provided by optimization methods considering tradeoffs between cost and efficiency, where optimal solutions…

Statistical Mechanics · Physics 2015-09-16 Luís F. Seoane , Ricard V. Solé

In this work, we use a multiobjective approach to address the lot sizing problem integrated with the cutting stock problem in a paper industry. We analyze the trade-offs and correlations which exist among the costs and their decision…

Optimization and Control · Mathematics 2017-07-20 Betania S. C. Campello , Washington A. Oliveira , Amanda O. C. Ayres , Carla T. L. S. Ghidini

Many machine learning tasks aim to find models that work well not for a single, but for a group of criteria, often opposing ones. One such example is imbalanced data classification, where, on the one hand, we want to achieve the best…

Machine Learning · Computer Science 2025-11-18 Szymon Wojciechowski , Michał Woźniak

Order picking and order packing entail retrieving items from storage and packaging them according to customer requests. These activities have always been the main concerns of the companies in reducing warehouse management costs. This paper…

Optimization and Control · Mathematics 2022-06-24 Sen Xue , Chuanhou Gao

We propose a novel numerical approach to compute the Pareto front in multivariate polynomial multi-objective optimization problems. When the objective functions and (equality) constraints are multivariate polynomials, the Pareto front,…

Optimization and Control · Mathematics 2026-04-06 Hans van Rooij , Christof Vermeersch , Marie Deferme , Bart De Moor

This paper presents a general mathematical programming framework for the design and optimization of supply chain infrastructures for the upcycling of plastic waste. For this purpose, a multi-product, multi-echelon, multi-period…

Computational Engineering, Finance, and Science · Computer Science 2025-10-10 Dalga Merve Özkan , Sergio Lucia , Sebastian Engell

Many problems in robotics seek to simultaneously optimize several competing objectives under constraints. A conventional approach to solving such multi-objective optimization problems is to create a single cost function comprised of the…

Robotics · Computer Science 2022-06-02 Alexander Botros , Armin Sadeghi , Nils Wilde , Javier Alonso-Mora , Stephen L. Smith

Finding robust solutions of an optimization problem is an important issue in practice, and various concepts on how to define the robustness of a solution have been suggested. The idea of recoverable robustness requires that a solution can…

Optimization and Control · Mathematics 2016-04-07 Emilio Carrizosa , Marc Goerigk , Anita Schöbel

A challenging category of robotics problems arises when sensing incurs substantial costs. This paper examines settings in which a robot wishes to limit its observations of state, for instance, motivated by specific considerations of energy…

Robotics · Computer Science 2023-09-26 Patrick Zhong , Federico Rossi , Dylan A. Shell
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