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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

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

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

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

Warehouses are nowadays the scene of complex logistic problems integrating different decision layers. This paper addresses the Joint Order Batching, Picker Routing and Sequencing Problem with Deadlines (JOBPRSP-D) in rectangular warehouses.…

Optimization and Control · Mathematics 2023-07-04 Olivier Briant , Hadrien Cambazard , Diego Cattaruzza , Nicolas Catusse , Anne-Laure Ladier , Maxime Ogier

In this paper we investigate the problem of simultaneously allocating orders and mobile storage racks to static pickers. Here storage racks are allocated to pickers to enable them to pick all of the products for the orders that have been…

Optimization and Control · Mathematics 2020-07-23 Cristiano Arbex Valle , John E Beasley

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 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

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

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

The Storage Location Assignment Problem (SLAP) and the Picker Routing Problem (PRP) have received significant attention in the literature due to their pivotal role in the performance of the Order Picking (OP) activity, the most…

Discrete Mathematics · Computer Science 2024-07-19 Thibault Prunet , Nabil Absi , Diego Cattaruzza

We consider the following two deterministic inventory optimization problems over a finite planning horizon $T$ with non-stationary demands. (a) Submodular Joint Replenishment Problem: This involves multiple item types and a single retailer…

Data Structures and Algorithms · Computer Science 2015-04-27 Viswanath Nagarajan , Cong Shi

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

The order picker routing problem involves finding the optimal tour of a warehouse that collects all the required items on a given pick list. Ratliff and Rosenthal introduced a dynamic programming algorithm for solving this problem in…

Optimization and Control · Mathematics 2024-09-23 George Dunn , Hadi Charkhgard , Ali Eshragh , Elizabeth Stojanovski

We investigate a location-allocation-routing problem where trucks deliver goods from a central production facility to a set of warehouses with fixed locations and known demands. Due to limited capacities congestion occurs and results in…

Optimization and Control · Mathematics 2022-08-09 Vanessa Lange , Hans Daduna

We study the cyclic inventory routing problem that involves joint decisions on vehicle routing and inventory replenishment on an infinite, cyclic horizon. It considers a single warehouse and a set of geographically dispersed retailers. We…

Optimization and Control · Mathematics 2026-05-07 Menglei Jia , Albert H. Schrotenboer , Ahmadreza Marandi , Feng Chen

In picker-to-parts warehouses, order picking is a cost- and labor-intensive operation that must be designed efficiently. It comprises the construction of order batches and the associated order picker routes, and the assignment and…

Artificial Intelligence · Computer Science 2019-09-05 Albert H. Schrotenboer , Susanne Wruck , Iris F. A. Vis , Kees Jan Roodbergen

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 study the solution of a large-scale transportation problem with an additional constraint on the sparsity of inbound flows. Such problems arise in the management of inventory for online retailers that operate with many order fulfillment…

Optimization and Control · Mathematics 2014-02-12 Annie I. Chen , Stephen C. Graves

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
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