Tue, 23 Apr 2024

14:00 - 14:30
L3

Reinforcement Learning for Combinatorial Optimization: Job-Shop Scheduling and Vehicle Routing Problem Cases

Zangir Iklassov
(Mohamed bin Zayed University of Artificial Intelligence)
Abstract

Our research explores the application of reinforcement learning (RL) strategies to solve complex combinatorial research problems, specifically the Job-shop Scheduling Problem (JSP) and the Stochastic Vehicle Routing Problem with Time Windows (SVRP). For JSP, we utilize Curriculum Learning (CL) to enhance the performance of dispatching policies. This approach addresses the significant optimality gap in existing end-to-end solutions by structuring the training process into a sequence of increasingly complex tasks, thus facilitating the handling of larger, more intricate instances. Our study introduces a size-agnostic model and a novel strategy, the Reinforced Adaptive Staircase Curriculum Learning (RASCL), which dynamically adjusts difficulty levels during training, focusing on the most challenging instances. Experimental results on Taillard and Demirkol datasets show that our approach reduces the average optimality gap to 10.46% and 18.85%, respectively.

For SVRP, we propose an end-to-end framework employing an attention-based neural network trained through RL to minimize routing costs while addressing uncertain travel costs and demands, alongside specific customer delivery time windows. This model outperforms the state-of-the-art Ant-Colony Optimization algorithm by achieving a 1.73% reduction in travel costs and demonstrates robustness across diverse environmental settings, making it a valuable baseline for future research. Both studies mark advancements in the application of machine learning techniques to operational research.

Large eddy simulation of airfoil flows using adjoint-trained deep learning closure models
Hickling, T Sirignano, J MacArt, J AIAA SCITECH 2024 Forum (04 Jan 2024)
Weak cartesian properties of simplicial sets
Constantin, C Fritz, T Perrone, P Shapiro, B Journal of Homotopy and Related Structures volume 18 issue 4 477-520 (10 Nov 2023)
Tue, 11 Jun 2024
13:00
TBA

SUPERTRANSLATIONS, ANGULAR MOMENTUM, AND COVARIANCE IN 4D ASYMPTOTICALLY FLAT SPACE

Massimo Porrati
(NYU)
Abstract
I will present a supertranslation-invariant and Lorentz-covariant definition of angular momentum in asymptotically flat 4D spacetime. This definition uses only asymptotic metric data and reproduces the flux necessary to obtain known radiation reaction effects. The formula has an appealing physical interpretation, it extends to Lorentz boost charges and integrated fluxes, and agrees with other existing definitions in appropriate reference frames.


 

A multiscale computational framework for the development of spines in molluscan shells
Moulton, D Aubert-Kato, N Almet, A Sato, A PLoS Computational Biology volume 20 issue 3 (01 Mar 2024)
Enhanced Classification of Heartbeat Electrocardiogram Signals Using a Long Short-Term Memory–Convolutional Neural Network Ensemble: Paving the Way for Preventive Healthcare
Alharbi, N Jahanshahi, H Yao, Q Bekiros, S Moroz, I Mathematics volume 11 issue 18 3942 (17 Sep 2023)
EXISTENCE AND STABILITY OF SOLUTION IN BANACH SPACE FOR AN IMPULSIVE SYSTEM INVOLVING ATANGANA–BALEANU AND CAPUTO–FABRIZIO DERIVATIVES
AL-SADI, W WEI, Z MOROZ, I ALKHAZZAN, A Fractals volume 31 issue 10 2340085 (27 Jan 2023)
Mean values of arithmetic functions in short intervals and in arithmetic progressions in the large-degree limit
Gorodetsky, O Mathematika: a journal of pure and applied mathematics volume 66 issue 2 373-394 (2020)
On Certain Degenerate Whittaker Models for Cuspidal Representations of
$\mathrm{GL}_{k\cdot n}\left(\mathbb{F}_q\right)$
Gorodetsky, O Hazan, Z (23 Jul 2017) http://arxiv.org/abs/1707.07308v2
Subscribe to