[PDF][PDF] 0-1 knapsack in nearly quadratic time
C Jin - Proceedings of the 56th Annual ACM Symposium on …, 2024 - dl.acm.org
We study pseudo-polynomial time algorithms for the fundamental 0-1 Knapsack problem.
Recent research interest has focused on its fine-grained complexity with respect to the …
Recent research interest has focused on its fine-grained complexity with respect to the …
Deterministic and Las Vegas Algorithms for Sparse Nonnegative Convolution∗
K Bringmann, N Fischer, V Nakos - Proceedings of the 2022 Annual ACM …, 2022 - SIAM
Computing the convolution A∗ B of two length-n integer vectors A, B is a core problem in
several disciplines. It frequently comes up as a subroutine in various problem domains, eg in …
several disciplines. It frequently comes up as a subroutine in various problem domains, eg in …
On minimizing tardy processing time, max-min skewed convolution, and triangular structured ILPs
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 …
due dates on a single machine so as to minimize the total processing time of tardy jobs, ie …
Minimizing the Weighted Number of Tardy Jobs is W [1]-hard
K Heeger, D Hermelin - arXiv preprint arXiv:2401.01740, 2024 - arxiv.org
We consider the $1||\sum w_J U_j $ problem, the problem of minimizing the weighted
number of tardy jobs on a single machine. This problem is one of the most basic and …
number of tardy jobs on a single machine. This problem is one of the most basic and …
Minimizing the weighted number of tardy jobs via (max,+)-convolutions
D Hermelin, H Molter… - INFORMS Journal on …, 2024 - pubsonline.informs.org
In this paper we consider the fundamental scheduling problem of minimizing the weighted
number of tardy jobs on a single machine. We present a simple pseudo polynomial-time …
number of tardy jobs on a single machine. We present a simple pseudo polynomial-time …
Minimizing Tardy Processing Time on a Single Machine in Near-Linear Time
N Fischer, L Wennmann - arXiv preprint arXiv:2402.13357, 2024 - arxiv.org
In this work we revisit the elementary scheduling problem $1||\sum p_j U_j $. The goal is to
select, among $ n $ jobs with processing times and due dates, a subset of jobs with …
select, among $ n $ jobs with processing times and due dates, a subset of jobs with …
Quick minimization of tardy processing time on a single machine
B Schieber, P Sitaraman - Algorithms and Data Structures Symposium, 2023 - Springer
We consider the problem of minimizing the total processing time of tardy jobs on a single
machine. This is a classical scheduling problem, first considered by [Lawler and Moore …
machine. This is a classical scheduling problem, first considered by [Lawler and Moore …
Does Subset Sum Admit Short Proofs?
M Włodarczyk - arXiv preprint arXiv:2409.03526, 2024 - arxiv.org
We investigate the question whether Subset Sum can be solved by a polynomial-time
algorithm with access to a certificate of length poly (k) where k is the maximal number of bits …
algorithm with access to a certificate of length poly (k) where k is the maximal number of bits …
Single-machine scheduling to minimize the number of tardy jobs with release dates
We study the fundamental scheduling problem $1\mid r_j\mid\sum w_j U_j $: schedule a set
of $ n $ jobs with weights, processing times, release dates, and due dates on a single …
of $ n $ jobs with weights, processing times, release dates, and due dates on a single …
Algorithms for sparse convolution and sublinear edit distance
N Fischer - 2023 - publikationen.sulb.uni-saarland.de
In this PhD thesis on fine-grained algorithm design and complexity, we investigate output-
sensitive and sublinear-time algorithms for two important problems.(1) Sparse Convolution …
sensitive and sublinear-time algorithms for two important problems.(1) Sparse Convolution …