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Bin packing is a classic optimization problem with a wide range of applications, from load balancing to supply chain management. In this work, we study the online variant of the problem, in which a sequence of items of various sizes must be…

Data Structures and Algorithms · Computer Science 2024-04-18 Spyros Angelopoulos , Shahin Kamali , Kimia Shadkami

The growing need for companies to reduce costs and maximize profits has led to an increased focus on logistics activities. Among these, inventory management plays a crucial role in minimizing organizational expenses by optimizing the…

Inventory management, vehicle routing, and delivery scheduling decisions are simultaneously considered in the context of the inventory routing problem. This paper focuses on the continuous-time version of this problem where, unlike its more…

Optimization and Control · Mathematics 2024-10-25 Akang Wang , Xiandong Li , Jeffrey E. Arbogast , Zachary Wilson , Chrysanthos E. Gounaris

We consider a simple approach to solving assortment optimization under the random utility maximization model. The approach uses Monte-Carlo simulation to construct a ranking-based choice model that serves as a proxy for the true choice…

Optimization and Control · Mathematics 2025-10-02 Hassaan Khalid , Bradley Sturt

In this paper, we study the assortment optimization problem under the mixed-logit customer choice model. While assortment optimization has been a major topic in revenue management for decades, the mixed-logit model is considered one of the…

Optimization and Control · Mathematics 2024-07-29 Hoang Giang Pham , Tien Mai

Different retail and e-commerce companies are facing the challenge of assembling large numbers of time-critical picking orders that include both small-line and multi-line orders. To reduce unproductive picker working time as in traditional…

Optimization and Control · Mathematics 2022-04-14 Lin Xie , Hanyi Li , Laurin Luttmann

This paper introduces a new optimization model that integrates the multi-port stowage planning problem with the container relocation problem. This problem is formulated as a binary mathematical programming model that must find the…

We develop a novel mathematical programming approximation framework to tackle the stochastic knapsack problem. In this problem, the decision maker considers items for which either weights or values, or both, are random. The aim is to select…

Optimization and Control · Mathematics 2025-12-18 Roberto Rossi , Steven D. Prestwich , S. Armagan Tarim

In warehouses, order picking is known to be the most labor-intensive and costly task in which the employees account for a large part of the warehouse performance. Hence, many approaches exist, that optimize the order picking process based…

Neural and Evolutionary Computing · Computer Science 2021-12-23 Veronika Lesch , Patrick B. M. Müller , Moritz Krämer , Samuel Kounev , Christian Krupitzer

The article proposes a heuristic approximation approach to the bin packing problem under multiple objectives. In addition to the traditional objective of minimizing the number of bins, the heterogeneousness of the elements in each bin is…

Artificial Intelligence · Computer Science 2008-09-05 Martin Josef Geiger

The proportional fair resource allocation problem is a major problem studied in flow control of networks, operations research, and economic theory, where it has found numerous applications. This problem, defined as the constrained…

Optimization and Control · Mathematics 2022-11-29 Francisco Criado , David Martínez-Rubio , Sebastian Pokutta

The problem of packing equal circles in a circle is a classic and famous packing problem, which is well-studied in academia and has a variety of applications in industry. This problem is computationally challenging, and researchers mainly…

Computational Geometry · Computer Science 2023-03-09 Jianrong Zhou , Kun He , Jiongzhi Zheng , Chu-Min Li

In this paper, we develop mixed integer linear programming models to compute near-optimal policy parameters for the non-stationary stochastic lot sizing problem under Bookbinder and Tan's static-dynamic uncertainty strategy. Our models…

Optimization and Control · Mathematics 2014-09-18 Roberto Rossi , Onur A. Kilic , S. Armagan Tarim

E-commerce operations are essentially online, with customer orders arriving dynamically. However, very little is known about the performance of online policies for warehousing with respect to optimality, particularly for order picking and…

Optimization and Control · Mathematics 2026-02-19 Catherine Lorenz , Alena Otto , Michel Gendreau

We develop exact simulation (also known as perfect sampling) algorithms for a family of assemble-to-order systems. Due to the finite capacity, and coupling in demands and replenishments, known solving techniques are inefficient for larger…

Probability · Mathematics 2014-02-24 Ana Bušić , Emilie Coupechoux

We study the inventory placement problem of splitting $Q$ units of a single item across warehouses in advance of a downstream online matching problem that represents the dynamic fulfillment decisions of an e-commerce retailer. This is a…

Data Structures and Algorithms · Computer Science 2025-05-06 Boris Epstein , Will Ma

The autonomous systems need to decide how to react to the changes at runtime efficiently. The ability to rigorously analyze the environment and the system together is theoretically possible by the model-driven approaches; however, the model…

Software Engineering · Computer Science 2021-10-28 Melika Dastranj , Mehran Alidoost Nia , Mehdi Kargahi

In this paper, we address the joint optimization of fleet size and mix, along with vehicle routing, under uncertain customer demand. We propose a two-stage stochastic mixed-integer programming model, where first-stage decisions concern the…

Optimization and Control · Mathematics 2025-12-11 Paolo Beatrici , Sebastian Birolini , Francesca Maggioni , Paolo Malighetti

In this paper, we study a number of well-known combinatorial optimization problems that fit in the following paradigm: the input is a collection of (potentially inconsistent) local relationships between the elements of a ground set (e.g.,…

Data Structures and Algorithms · Computer Science 2021-02-24 Vaggos Chatziafratis , Mohammad Mahdian , Sara Ahmadian

Routing and scheduling problems are fundamental problems in combinatorial optimization, and also have many applications. Most variations of these problems are NP-Hard, so we need to use heuristics to solve these problems on large instances,…

Data Structures and Algorithms · Computer Science 2015-02-20 Arindam Pal