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We study heuristic algorithms for job shop scheduling problems. We compare classical approaches, such as the shifting bottleneck heuristic with novel strategies using decision diagrams. Balas' local refinement is used to improve feasible…

Optimization and Control · Mathematics 2024-07-26 Brannon King , Robert Hildebrand

Stochastic dual dynamic programming is a cutting plane type algorithm for multi-stage stochastic optimization originated about 30 years ago. In spite of its popularity in practice, there does not exist any analysis on the convergence rates…

Optimization and Control · Mathematics 2023-05-10 Guanghui Lan

This paper proposes a discretionary lane selection algorithm. In particular, highway driving is considered as a targeted scenario, where each lane has a different level of traffic flow. When lane-changing is discretionary, it is advised not…

Robotics · Computer Science 2021-04-12 Sangjae Bae , David Isele , Kikuo Fujimura , Scott J. Moura

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

Delaunay Triangulation(DT) is one of the important geometric problems that is used in various branches of knowledge such as computer vision, terrain modeling, spatial clustering and networking. Kinetic data structures have become very…

Computational Geometry · Computer Science 2023-08-15 Nazanin Hadiniya , Mohammad Ghodsi

Efficiently solving path planning problems for a large number of robots is critical to the successful operation of modern warehouses. The existing approaches adopt classical shortest path algorithms to plan in environments whose cells are…

The unrestricted block relocation problem is an important optimization problem encountered at terminals, where containers are stored in stacks. It consists in determining the minimum number of container moves so as to empty the considered…

Discrete Mathematics · Computer Science 2019-09-13 Dominique Feillet , Sophie N. Parragh , Fabien Tricoire

Many learning algorithms are formulated in terms of finding model parameters which minimize a data-fitting loss function plus a regularizer. When the regularizer involves the l0 pseudo-norm, the resulting regularization path consists of a…

Machine Learning · Computer Science 2020-03-06 Toby Hocking , Joseph Vargovich

This paper presents a collection of path planning algorithms for real-time movement of multiple robots across a Robotic Mobile Fulfillment System (RMFS). Robots are assigned to move storage units to pickers at working stations instead of…

Artificial Intelligence · Computer Science 2018-11-20 Marius Merschformann , Lin Xie , Daniel Erdmann

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

The computation of determinants or their signs is the core procedure in many important geometric algorithms, such as convex hull, volume and point location. As the dimension of the computation space grows, a higher percentage of the total…

Computational Geometry · Computer Science 2016-02-01 Vissarion Fisikopoulos , Luis Peñaranda

This work studies rearrangement problems involving the sorting of robots or objects in stack-like containers, which can be accessed only from one side. Two scenarios are considered: one where every robot or object needs to reach a…

Robotics · Computer Science 2017-07-03 Shuai D. Han , Nicholas M. Stiffler , Kostas E. Bekris , Jingjin Yu

In today competitive business environment, efficient logistics are essential, especially in industries where timely delivery matters. This research aims to improve warehouse picking cycle time through simulation-based analysis, using a…

Systems and Control · Electrical Eng. & Systems 2025-11-13 Phattara Khumprom , Wanatchapong Kongkaew , Antoun Yaacoub , Nattakit Thanawitsatien

Discrete barycenters are the optimal solutions to mass transport problems for a set of discrete measures. Such transport problems arise in many applications of operations research and statistics. The best known algorithms for exact…

Optimization and Control · Mathematics 2019-04-24 Steffen Borgwardt , Stephan Patterson

A classical reduced order model for dynamical problems involves spatial reduction of the problem size. However, temporal reduction accompanied by the spatial reduction can further reduce the problem size without losing accuracy much, which…

Numerical Analysis · Mathematics 2019-10-04 Youngsoo Choi , Peter Brown , Bill Arrighi , Robert Anderson

Register allocation (mapping variables to processor registers or memory) and instruction scheduling (reordering instructions to increase instruction-level parallelism) are essential tasks for generating efficient assembly code in a…

Programming Languages · Computer Science 2019-06-10 Roberto Castañeda Lozano , Christian Schulte

Autonomous agents face the challenge of coordinating multiple tasks (perception, motion planning, controller) which are computationally expensive on a single onboard computer. To utilize the onboard processing capacity optimally, it is…

Robotics · Computer Science 2023-05-09 Aditya Shirwatkar , Aman Singh , Jana Ravi Kiran

The standard single picker routing problem (SPRP) seeks the cost-minimal tour to collect a set of given articles in a rectangular single-block warehouse with parallel picking aisles and a dedicated storage policy, i.e, each SKU is only…

Data Structures and Algorithms · Computer Science 2019-10-01 Dominik Goeke , Michael Schneider

Picker-to-parts pallet warehouses often face inefficiencies due to conventional layouts causing excessive travel distances and high labor requirements. This study introduces a novel layout design inspired by CPU architecture, partitioning…

Multiagent Systems · Computer Science 2025-11-05 Timo Looms , Lin Xie

This paper investigates a stochastic inventory management problem in which a cash-constrained small retailer periodically purchases a product from suppliers and sells it to a market while facing non-stationary demands. In each period, the…

Optimization and Control · Mathematics 2021-08-13 Zhen Chen , Roberto Rossi