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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

How can a stack of identical blocks be arranged to extend beyond the edge of a table as far as possible? We consider a generalization of this classic puzzle to blocks that differ in width and mass. Despite the seemingly simple premise, we…

Combinatorics · Mathematics 2026-02-13 Simon Gmeiner , Andreas S. Schulz

In this paper, we study the problem of optimal multi-robot path planning (MPP) on graphs. We propose two multiflow based integer linear programming (ILP) models that computes minimum last arrival time and minimum total distance solutions…

Robotics · Computer Science 2015-03-20 Jingjin Yu , Steven M. LaValle

This paper presents a novel approach to solve capacitated facility location problems (FLP) that encompass various resource allocation problems. FLPs are a class of NP-hard combinatorial optimization problems, involving optimal placement and…

Optimization and Control · Mathematics 2025-04-03 Alisina Bayati , Dhananjay Tiwari , Srinivasa Salapaka

We consider the problem of carrier frequency offset (CFO) estimation for a two-way relaying system based on the amplify-and-forward (AF) protocol. Our contributions are in designing an optimal preamble, and the corresponding estimator, to…

Information Theory · Computer Science 2012-08-17 Chin Keong Ho , Patrick Ho Wang Fung , Sumei Sun

The evaluation of the minimum distance of linear block codes remains an open problem in coding theory, and it is not easy to determine its true value by classical methods, for this reason the problem has been solved in the literature with…

Information Theory · Computer Science 2013-03-19 Mohamed Askali , Ahmed Azouaoui , Saïd Nouh , Mostafa Belkasmi

Nonconvex optimization refers to the process of solving problems whose objective or constraints are nonconvex. Historically, this type of problems have been very difficult to solve to global optimality, with traditional solvers often…

Optimization and Control · Mathematics 2025-08-12 Dimitris Bertsimas , Danique de Moor , Thodoris Koukouvinos , Demetrios Kriezis

This paper presents a new branch-and-cut algorithm based on infeasible path elimination for the three-dimensional loading capacitated vehicle routing problem (3L-CVRP) with different loading problem variants. We show that a previously…

Optimization and Control · Mathematics 2024-02-26 Felix Tamke , Florian Linß , Leopold Kuttner , Udo Buscher

Backpressure (BP) routing and scheduling is a well-established resource allocation method for wireless multi-hop networks, known for its fully distributed operations and proven maximum queue stability. Recent advances in shortest…

Networking and Internet Architecture · Computer Science 2025-05-01 Zhongyuan Zhao , Yujun Ming , Ananthram Swami , Kevin Chan , Fikadu Dagefu , Santiago Segarra

In this paper, we present a new policy gradient (PG) methods, namely the block policy mirror descent (BPMD) method for solving a class of regularized reinforcement learning (RL) problems with (strongly)-convex regularizers. Compared to the…

Machine Learning · Computer Science 2022-09-20 Guanghui Lan , Yan Li , Tuo Zhao

The submodular knapsack problem (SKP), which seeks to maximize a submodular set function by selecting a subset of elements within a given budget, is an important discrete optimization problem. The majority of existing approaches to solving…

Data Structures and Algorithms · Computer Science 2025-07-16 Yimin Hao , Yi Zhou , Chao Xu , Zhang-Hua Fu

Risk Limiting Dispatch (RLD) was proposed recently as a mechanism that utilizes information and market recourse to reduce reserve capacity requirements, emissions and achieve other system operator objectives. It induces a set of simple…

Optimization and Control · Mathematics 2012-12-04 Junjie Qin , Han-I Su , Ram Rajagopal

Error correction at short blocklengths remains a challenge for low-density parity-check (LDPC) codes, as belief propagation (BP) decoding is suboptimal compared to maximum-likelihood decoding (MLD). While BP rarely makes errors, it often…

Information Theory · Computer Science 2025-07-08 Ahmad Ismail , Raphaël Le Bidan , Elsa Dupraz , Charbel Abdel Nour

In this paper, we consider a probabilistic set covering problem (PSCP) in which each 0-1 row of the constraint matrix is random with a finite discrete distribution, and the objective is to minimize the total cost of the selected columns…

Optimization and Control · Mathematics 2025-01-27 Jie Liang , Cheng-Yang Yu , Wei Lv , Wei-Kun Chen , Yu-Hong Dai

Query workloads and database schemas in OLAP applications are becoming increasingly complex. Moreover, the queries and the schemas have to continually \textit{evolve} to address business requirements. During such repetitive transitions, the…

Databases · Computer Science 2015-03-19 Hideaki Kimura , Carleton Coffrin , Alexander Rasin , Stanley B. Zdonik

The solution of the biobjective IRP is rather challenging, even for metaheuristics. We are still lacking a profound understanding of appropriate solution representations and effective neighborhood structures. Clearly, both the delivery…

Artificial Intelligence · Computer Science 2012-04-19 Thibaut Barthélemy , Martin Josef Geiger , Marc Sevaux

We study a general class of quadratic capacitated $p$-location problems facility location problems with single assignment where a non-separable, non-convex, quadratic term is introduced in the objective function to account for the…

Optimization and Control · Mathematics 2021-07-22 C. A. Zetina , I. Contreras , S. Jayaswal

The Bandwidth Problem seeks for a simultaneous permutation of the rows and columns of the adjacency matrix of a graph such that all nonzero entries are as close as possible to the main diagonal. This work focuses on investigating novel…

Optimization and Control · Mathematics 2021-07-07 Franz Rendl , Renata Sotirov , Christian Truden

We consider a Bar Charts Packing Problem (BCPP), in which it is necessary to pack bar charts (BCs) in a strip of minimum length. The problem is, on the one hand, a generalization of the Bin Packing Problem (BPP), and, on the other hand, a…

Data Structures and Algorithms · Computer Science 2021-01-05 Adil Erzin , Gregory Melidi , Stepan Nazarenko , Roman Plotnikov

Multi-hop networks become popular network topologies in various emerging Internet of things applications. Batched network coding (BNC) is a solution to reliable communications in such networks with packet loss. By grouping packets into…

Information Theory · Computer Science 2023-07-26 Hoover H. F. Yin , Shenghao Yang , Qiaoqiao Zhou , Lily M. L. Yung , Ka Hei Ng
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