F Eisenbrand, C Hunkenschröder, KM Klein… - arXiv preprint arXiv …, 2019 - arxiv.org
We study the general integer programming problem where the number of variables $ n $ is a variable part of the input. We consider two natural parameters of the constraint matrix $ A …
Many fundamental NP NP-hard problems can be formulated as integer linear programs (ILPs). A famous algorithm by Lenstra solves ILPs in time that is exponential only in the …
F Eisenbrand, C Hunkenschröder, KM Klein - arXiv preprint arXiv …, 2018 - arxiv.org
We consider integer programming problems $\max\{c^ T x:\mathcal {A} x= b, l\leq x\leq u, x\in\mathbb {Z}^{nt}\} $ where $\mathcal {A} $ has a (recursive) block-structure generalizing" …
C Hanen, A Munier Kordon - Journal of Scheduling, 2024 - Springer
Scheduling problems involving a set of dependent tasks with release dates and deadlines on a limited number of resources have been intensively studied. However, few …
Integer linear programs of configurations, or configuration IPs, are a classical tool in the design of algorithms for scheduling and packing problems where a set of items has to be …
J Cslovjecsek, F Eisenbrand, C Hunkenschröder… - Proceedings of the 2021 …, 2021 - SIAM
We consider integer and linear programming problems for which the linear constraints exhibit a (recursive) block-structure: The problem decomposes into independent and …
We study an important case of integer linear programs (ILPs) of the form \max{c^Tx\vert\ mathcalAx=b,l≦x≦u,\,x∈Z^nt\} with nt variables and lower and upper bounds …
We consider the standard ILP Feasibility problem: given an integer linear program of the form {A x= b, x⩾ 0}, where A is an integer matrix with k rows and ℓ columns, x is a vector of ℓ …
The starting point of this paper is the problem of scheduling n jobs with processing times and due dates on a single machine so as to minimize the total processing time of tardy jobs, ie …