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The traveling purchaser problem (TPP) is an important combinatorial optimization problem with broad applications. Due to the coupling between routing and purchasing, existing works on TPPs commonly address route construction and purchase…

Optimization and Control · Mathematics 2025-07-03 Haofeng Yuan , Rongping Zhu , Wanlu Yang , Shiji Song , Keyou You , Wei Fan , C. L. Philip Chen

Two-phase methods are commonly used to solve bi-objective combinatorial optimization problems. In the first phase, all extreme supported nondominated points are generated through a dichotomic search. This phase also allows the…

Data Structures and Algorithms · Computer Science 2025-04-10 Felipe O. Mota , Luís Paquete , Daniel Vanderpooten

A new approach to solving a large class of factorable nonlinear programming (NLP) problems to global optimality is presented in this paper. Unlike the traditional strategy of partitioning the decision-variable space employed in many…

Optimization and Control · Mathematics 2015-04-28 Gene A. Bunin

Recent works using deep learning to solve the Traveling Salesman Problem (TSP) have focused on learning construction heuristics. Such approaches find TSP solutions of good quality but require additional procedures such as beam search and…

Machine Learning · Computer Science 2020-09-15 Paulo R. de O. da Costa , Jason Rhuggenaath , Yingqian Zhang , Alp Akcay

Since the 1990s, considerable empirical work has been carried out to train statistical models, such as neural networks (NNs), as learned heuristics for combinatorial optimization (CO) problems. When successful, such an approach eliminates…

Machine Learning · Statistics 2026-01-21 Orit Davidovich , Shimrit Shtern , Segev Wasserkrug , Nimrod Megiddo

Optimization problems with rank constraints appear in many diverse fields such as control, machine learning and image analysis. Since the rank constraint is non-convex, these problems are often approximately solved via convex relaxations.…

Optimization and Control · Mathematics 2018-11-12 Christian Grussler , Pontus Giselsson

Branch-price-and-cut is the state-of-the-art exact method for solving many types of vehicle routing problems, and is particularly effective for vehicle routing problems with time windows. A well-known challenge in branch-price-and-cut is…

Optimization and Control · Mathematics 2026-02-11 Lukas Eveborn , Elina Rönnberg

In this paper, we study the prize-collecting rural postman problem (PCRPP), a variant of the rural postman problem. Given a PCRPP instance consisting of an undirected graph whose edges have nonnegative lengths and nonnegative profits,…

Data Structures and Algorithms · Computer Science 2026-05-26 Hong Li , Jianping Li , Wei Li , Runtao Xie , Xiaoxiao Yang

Humanoid robots must master numerous tasks with sparse rewards, posing a challenge for reinforcement learning (RL). We propose a method combining RL and automated planning to address this. Our approach uses short goal-conditioned policies…

Artificial Intelligence · Computer Science 2025-01-06 Gavin B. Rens

Real-world recommendation systems often consist of two phases. In the first phase, multiple predictive models produce the probability of different immediate user actions. In the second phase, these predictions are aggregated according to a…

Evaluating performance across optimization algorithms on many problems presents a complex challenge due to the diversity of numerical scales involved. Traditional data processing methods, such as hypothesis testing and Bayesian inference,…

Optimization and Control · Mathematics 2024-09-10 Yunpeng Jinng , Qunfeng Liu

Transportation occupies one-third of the amount in the logistics costs, and accordingly transportation systems largely influence the performance of the logistics system. This work presents an adaptive data-driven innovative modular approach…

Artificial Intelligence · Computer Science 2020-01-08 Emir Zunic , Dzenana Donko , Emir Buza

Identifying the rank of species in a social or ecological network is a difficult task, since the rank of each species is invariably determined by complex interactions stipulated with other species. Simply put, the rank of a species is a…

Statistical Mechanics · Physics 2023-08-03 Manuel Sebastian Mariani , Dario Mazzilli , Aurelio Patelli , Flaviano Morone

This thesis introduces stochastic generalized routing problem model and proposes exact and heuristic algorithms to solve it efficiently, in a wide range of problem sizes. At first, the classic routing problem with its common variations in…

Optimization and Control · Mathematics 2019-03-08 Faraz Dadgostari

Generative retrieval (GR) has emerged as a promising paradigm in recommendation systems by autoregressively decoding identifiers of target items. Despite its potential, current approaches typically rely on the next-token prediction schema,…

Information Retrieval · Computer Science 2026-02-10 Kairui Fu , Changfa Wu , Kun Yuan , Binbin Cao , Dunxian Huang , Yuliang Yan , Junjun Zheng , Jianning Zhang , Silu Zhou , Jian Wu , Kun Kuang

While Retrieval-Augmented Generation (RAG) has exhibited promise in utilizing external knowledge, its generation process heavily depends on the quality and accuracy of the retrieved context. Large language models (LLMs) struggle to evaluate…

Computation and Language · Computer Science 2025-10-13 Shi-Qi Yan , Quan Liu , Zhen-Hua Ling

Robust optimization (RO) has emerged as one of the leading paradigms to efficiently model parameter uncertainty. The recent connections between RO and problems in statistics and machine learning domains demand for solving RO problems in…

Optimization and Control · Mathematics 2017-11-21 Nam Ho-Nguyen , Fatma Kilinc-Karzan

The Flying Sidekick Traveling Salesman Problem (FSTSP) considers a delivery system composed by a truck and a drone. The drone launches from the truck with a single package to deliver to a customer. Each drone must return to the truck to…

Artificial Intelligence · Computer Science 2021-08-05 Júlia C. Freitas , Puca Huachi V. Penna , Túlio A. M. Toffolo

Due to the complication of the presented problem, intelligent algorithms show great power to solve the parts logistics optimization problem related to the vehicle routing problem (VRP). However, most of the existing research to VRP are…

Artificial Intelligence · Computer Science 2019-03-19 Yaoting Huang , Boyu Chen , Wenlian Lu , Zhong-Xiao Jin , Ren Zheng

As rapidly growing AI computational demands accelerate the need for new hardware installation and maintenance, this work explores optimal data center resource management by balancing operational efficiency with fault tolerance through…

Artificial Intelligence · Computer Science 2025-04-02 Chang-Lin Chen , Jiayu Chen , Tian Lan , Zhaoxia Zhao , Hongbo Dong , Vaneet Aggarwal