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We consider the Travelling Salesman Problem with Vertex Requisitions, where for each position of the tour at most two possible vertices are given. It is known that the problem is strongly NP-hard. The proposed algorithm for this problem has…

Data Structures and Algorithms · Computer Science 2017-03-14 Anton Eremeev , Yulia Kovalenko

Given a weighted, ordered query set $Q$ and a partition of $Q$ into classes, we study the problem of computing a minimum-cost decision tree that, given any query $q$ in $Q$, uses equality tests and less-than comparisons to determine the…

Data Structures and Algorithms · Computer Science 2025-01-28 Marek Chrobak , Neal E. Young

In the present scenario the recent engineering and industrial built-up units are facing hodgepodge of problems in a lot of aspects such as machining time, electricity, man power, raw material and customers constraints. The job-shop…

Other Computer Science · Computer Science 2014-07-23 Sandeep Kumar , Pooja Jadon

Cloud computing is emerging as an important platform for business, personal and mobile computing applications. In this paper, we study a stochastic model of cloud computing, where jobs arrive according to a stochastic process and request…

Performance · Computer Science 2012-06-07 Siva Theja Maguluri , R Srikant , Lei Ying

In this work, we consider the problem of placing replicas in a data center or storage area network, represented as a digraph, so as to lexico-minimize a previously proposed reliability measure which minimizes the impact of all failure…

Data Structures and Algorithms · Computer Science 2017-09-19 K. Alex Mills , R. Chandrasekaran , Neeraj Mittal

In this paper, we are concerned with the weighted backup 2-center problem on a tree. The backup 2-center problem is a kind of center facility location problem, in which one is asked to deploy two facilities, with a given probability to…

Data Structures and Algorithms · Computer Science 2015-07-09 Hung-Lung Wang

In this paper we investigate a problem associated with operating a robotic mobile fulfilment system (RMFS). This is the problem of allocating orders and mobile storage racks to pickers. We present a two-stage formulation of the problem. In…

Optimization and Control · Mathematics 2023-02-27 Cristiano Arbex Valle , John E Beasley

Motivated by mail delivery scheduling problems arising in Royal Mail, we study a generalization of the fundamental makespan scheduling P||Cmax problem which we call the bounded job start scheduling problem. Given a set of jobs, each…

Data Structures and Algorithms · Computer Science 2021-02-09 Dimitrios Letsios , Jeremy T. Bradley , Suraj G , Ruth Misener , Natasha Page

In this paper, we propose the Ordered Median Tree Location Problem (OMT). The OMT is a single-allocation facility location problem where p facilities must be placed on a network connected by a non-directed tree. The objective is to minimize…

Discrete Mathematics · Computer Science 2025-02-11 Miguel A. Pozo , Justo Puerto , Alberto Torrejon

Spanning tree problems with specialized constraints can be difficult to solve in real-world scenarios, often requiring intricate algorithmic design and exponential time. Recently, there has been growing interest in end-to-end deep neural…

Machine Learning · Computer Science 2023-06-13 Yuchen Shi , Congying Han , Tiande Guo

A robot can invoke heterogeneous computation resources such as CPUs, cloud GPU servers, or even human computation for achieving a high-level goal. The problem of invoking an appropriate computation model so that it will successfully…

Robotics · Computer Science 2021-08-04 Bineet Ghosh , Sandeep Chinchali , Parasara Sridhar Duggirala

The Double Travelling Salesman Problem with Multiple Stacks, DTSPMS, deals with the collect and delivery of n commodities in two distinct cities, where the pickup and the delivery tours are related by LIFO constraints. During the pickup…

Discrete Mathematics · Computer Science 2020-10-02 Laurent Alfandari , Sophie Toulouse

The minimum cost flow problem is one of the most studied network optimization problems and appears in numerous applications. Some efficient algorithms exist for this problem, which are freely available in the form of libraries or software…

Machine Learning · Computer Science 2022-10-06 Philipp Herrmann , Anna Meyer , Stefan Ruzika , Luca E. Schäfer , Fabian von der Warth

Minimum Bisection denotes the NP-hard problem to partition the vertex set of a graph into two sets of equal sizes while minimizing the width of the bisection, which is defined as the number of edges between these two sets. We first consider…

Combinatorics · Mathematics 2017-08-23 Cristina G. Fernandes , Tina Janne Schmidt , Anusch Taraz

We study the problem of scheduling maintenance on arcs of a capacitated network so as to maximize the total flow from a source node to a sink node over a set of time periods. Maintenance on an arc shuts down the arc for the duration of the…

Discrete Mathematics · Computer Science 2014-01-15 Natashia Boland , Thomas Kalinowski , Reena Kapoor , Simranjit Kaur

This paper proposes a new integer L-shaped method for solving two-stage stochastic integer programs whose first-stage solutions can decompose into disjoint components, each one having a monotonic recourse function. In a minimization…

Optimization and Control · Mathematics 2023-04-18 Lucas Parada , Robin Legault , Jean-François Côté , Michel Gendreau

Learning-based methods for routing have gained significant attention in recent years, both in single-objective and multi-objective contexts. Yet, existing methods are unsuitable for routing on multigraphs, which feature multiple edges with…

Machine Learning · Computer Science 2026-02-23 Filip Rydin , Attila Lischka , Jiaming Wu , Morteza Haghir Chehreghani , Balázs Kulcsár

To answer traffic engineering goals, current backbone networks use expensive and sophisticated equipments, that run distributed algorithms to imple- ment dynamic multi-path routing (e.g., MPLS tunnels and dynamic trunk rerout- ing). We…

Networking and Internet Architecture · Computer Science 2016-12-22 Margarida Mamede , José Legatheaux Martins , João Horta

This article presents an overview of a research study of a crucial optimization problem in the Computer Science/Operations research field: The Job-shop Scheduling Problem (JSP). The JSP is a challenging task in which a set of operations…

Logic in Computer Science · Computer Science 2022-08-08 Mohammed M. S. El-Kholany

The Job Shop Scheduling Problem (JSSP) is a well-known optimization problem in manufacturing, where the goal is to determine the optimal sequence of jobs across different machines to minimize a given objective. In this work, we focus on…

Artificial Intelligence · Computer Science 2025-01-31 Laurie Boveroux , Damien Ernst , Quentin Louveaux