Improved approximations for min sum vertex cover and generalized min sum set cover

N Bansal, J Batra, M Farhadi, P Tetali - Proceedings of the 2021 ACM-SIAM …, 2021 - SIAM
We study the generalized min sum set cover (GMSSC) problem, wherein given a collection
of hyperedges E with arbitrary covering requirements {ke∊ Z+: e∊ E}, the goal is to find an …

On min sum vertex cover and generalized min sum set cover

N Bansal, J Batra, M Farhadi, P Tetali - SIAM Journal on Computing, 2023 - SIAM
We study the Generalized Min Sum Set Cover (GMSSC) problem, wherein given a collection
of hyperedges with arbitrary covering requirements, the goal is to find an ordering of the …

Exact and approximation algorithms for the expanding search problem

B Hermans, R Leus… - INFORMS Journal on …, 2022 - pubsonline.informs.org
Suppose a target is hidden in one of the vertices of an edge-weighted graph according to a
known probability distribution. Starting from a fixed root node, an expanding search visits the …

Tree optimization based heuristics and metaheuristics in network construction problems

I Averbakh, J Pereira - Computers & Operations Research, 2021 - Elsevier
We consider a recently introduced class of network construction problems where edges of a
transportation network need to be constructed by a server (construction crew). The server …

Time-critical testing and search problems

A Agnetis, B Hermans, R Leus, S Rostami - European Journal of …, 2022 - Elsevier
This paper introduces a problem in which the state of a system needs to be determined
through costly tests of its components by a limited number of testing units and before a given …

Adaptivity Gaps for the Stochastic Boolean Function Evaluation Problem

L Hellerstein, D Kletenik, N Liu, RT Witter - International Workshop on …, 2022 - Springer
Abstract We consider the Stochastic Boolean Function Evaluation (SBFE) problem where
the task is to efficiently evaluate a known Boolean function f on an unknown bit string x of …

Hardness and approximation of submodular minimum linear ordering problems

M Farhadi, S Gupta, S Sun, P Tetali… - Mathematical Programming, 2024 - Springer
The minimum linear ordering problem (MLOP) generalizes well-known combinatorial
optimization problems such as minimum linear arrangement and minimum sum set cover …

A Local Search Algorithm for the Min-Sum Submodular Cover Problem

L Hellerstein, T Lidbetter, RT Witter - arXiv preprint arXiv:2209.03054, 2022 - arxiv.org
We consider the problem of solving the Min-Sum Submodular Cover problem using local
search. The Min-Sum Submodular Cover problem generalizes the NP-complete Min-Sum …

Network construction/restoration problems: cycles and complexity

T Wang, I Averbakh - Journal of Combinatorial Optimization, 2022 - Springer
In network construction/restoration problems introduced in Averbakh and Pereira (IIE Trans
44 (8): 681–694, 2012; Eur J Oper Res 244: 715–729, 2015), a server (construction crew) …

Min-sum set cover, or-scheduling, and related problems

F Happach - 2020 - mediatum.ub.tum.de
We address various scheduling problems with OR-precedence constraints that are
extensions of min-sum set cover, minimum latency set cover and generalized min-sum set …