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Order picking is the process of retrieving ordered products from storage locations in warehouses. In picker-to-parts order picking systems, two or more customer orders may be grouped and assigned to a single picker. Then routing decision…

Optimization and Control · Mathematics 2022-07-13 Zhang Kai , Gao Chuanhou

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

In this work we investigate the problem of order batching and picker routing in storage areas. These are labour and capital intensive problems, often responsible for a substantial share of warehouse operating costs. In particular, we…

Optimization and Control · Mathematics 2018-08-03 Cristiano Arbex Valle , John E Beasley , Alexandre Salles da Cunha

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

Order picking is the single most cost-intensive activity in picker-to-parts warehouses, and as such has garnered large interest from the scientific community which led to multiple problem formulations and a plethora of algorithms published.…

Optimization and Control · Mathematics 2025-06-26 Giorgio Abelli , Maximilian Katzmann , Imran Khan , Olaf Maurer , Julius Pätzold , Paweł Pszona , Jan-David Salchow

In this paper we investigate the problem of order batching for picker routing. Our approach is applicable to warehouses (storage areas) arranged in the standard rectangular grid layout, so with parallel aisles and two or more cross-aisles.…

Optimization and Control · Mathematics 2020-01-03 Cristiano Arbex Valle , John E Beasley

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

Growing demand for sustainable logistics and higher space utilization, driven by e-commerce and urbanization, increases the need for storage systems that are both energy- and space-efficient. Compact storage systems aim to maximize space…

Computational Complexity · Computer Science 2025-10-16 Malte Fliedner , Julian Golak , Yağmur Gül , Simone Neumann

We present a compact mixed integer program (MIP) for the backhaul profit maximization problem in which a freight carrier seeks to generate profit from an empty delivery vehicle's backhaul trip from its last scheduled delivery to its depot…

Optimization and Control · Mathematics 2020-06-16 Yuanyuan Dong , Yulan Bai , Eli V. Olinick , Andrew Junfang Yu

We propose a simulated annealing algorithm specifically tailored to optimise total retrieval times in a multi-level warehouse under complex pre-batched picking constraints. Experiments on real data from a picker-to-parts order picking…

Artificial Intelligence · Computer Science 2017-04-05 Alexander Eckrot , Carina Geldhauser , Jan Jurczyk

Major players in e-commerce process dynamically incoming orders in real-time and already use advanced anticipation techniques, like AI, to predict characteristics of future orders. However, at the warehousing level, there are still no…

Optimization and Control · Mathematics 2024-10-21 Catherine Lorenz , Alena Otto , Michel Gendreau

In this work, we investigate the problem of order batching and picker routing in warehouse storage areas. These problems are known to be capital and labour intensive, and often contribute to a sizable fraction of warehouse operating costs.…

Data Structures and Algorithms · Computer Science 2020-02-04 Wei Hao Khoong

The evolution of the retail business presents new challenges and raises pivotal questions on how to reinvent stores and supply chains to meet the growing demand of the online channel. One of the recent measures adopted by omnichannel…

Machine Learning · Computer Science 2023-01-06 Fábio Neves-Moreira , Pedro Amorim

In this paper, we deal with a storage assignment problem arising in a fulfilment centre of a major European e-grocery retailer. The centre can be characterised as a hybrid warehouse consisting of a highly efficient and partially automated…

General Economics · Economics 2023-05-18 David Winkelmann , Frederik Tolkmitt , Matthias Ulrich , Michael Römer

Order picking is the problem of collecting a set of products in a warehouse in a minimum amount of time. It is currently a major bottleneck in supply-chain because of its cost in time and labor force. This article presents two exact and…

Data Structures and Algorithms · Computer Science 2018-06-05 Lucie Pansart , Nicolas Catusse , Hadrien Cambazard

We study an online generalization of the classic Joint Replenishment Problem (JRP) that models the trade-off between ordering costs, holding costs, and backlog costs in supply chain planning systems. A retailer places orders to a supplier…

Data Structures and Algorithms · Computer Science 2024-10-25 Benjamin Moseley , Aidin Niaparast , R. Ravi

With the rapid growth of global e-commerce, the demand for automation in the logistics industry is increasing. This study focuses on automated picking systems in warehouses, utilizing deep learning and reinforcement learning technologies to…

Robotics · Computer Science 2026-02-10 Keqin Li , Jin Wang , Xubo Wu , Xirui Peng , Runmian Chang , Xiaoyu Deng , Yiwen Kang , Yue Yang , Fanghao Ni , Bo Hong

In markets where customers tend to purchase baskets of products rather than single products, assortment optimization is a major challenge for retailers. Removing a product from a retailer's assortment can result in a severe drop in…

Optimization and Control · Mathematics 2025-11-18 Andrey Vasilyev , Sebastian Maier , Ralf W. Seifert

In this paper, we explore the challenge of assortment planning in the context of quick-commerce, a rapidly-growing business model that aims to deliver time-sensitive products. In order to achieve quick delivery to satisfy the immediate…

Optimization and Control · Mathematics 2025-08-06 Yajing Chen , Taotao He , Ying Rong , Yunlong Wang

The growth in online shopping and third party logistics has caused a revival of interest in finding optimal solutions to the large scale in-transit freight consolidation problem. Given the shipment date, size, origin, destination, and due…

Optimization and Control · Mathematics 2018-01-29 Abdulkader S Hanbazazah , Luis E. Abril , Nazrul I Shaikh , Murat Erkoc
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