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Integer octagonal constraints (a.k.a. ``Unit Two Variables Per Inequality'' or ``UTVPI integer constraints'') constitute an interesting class of constraints for the representation and solution of integer problems in the fields of constraint…

数据结构与算法 · 计算机科学 2007-06-01 Roberto Bagnara , Patricia M. Hill , Enea Zaffanella

LTL is frequently used to express specifications in many domains such as embedded systems or business processes. Witnesses can help to understand why an LTL specification is satisfiable, and a number of approaches exist to make…

计算机科学中的逻辑 · 计算机科学 2013-06-13 Viktor Schuppan

We are concerned with three types of uncertainties: probabilistic, possibilitistic and interval. By using possibility and necessity measures as an Interval Valued Probability Measure (IVPM), we present IVPM's interval expected values whose…

最优化与控制 · 数学 2008-01-25 Phantipa Thipwiwatpotjana , Weldon A. Lodwick

Integer programs with m constraints are solvable in pseudo-polynomial time in $\Delta$, the largest coefficient in a constraint, when m is a fixed constant. We give a new algorithm with a running time of $O(\sqrt{m}\Delta)^{2m} + O(nm)$,…

数据结构与算法 · 计算机科学 2022-07-27 Klaus Jansen , Lars Rohwedder

Many combinatorial optimisation problems can be modelled as valued constraint satisfaction problems. In this paper, we present a polynomial-time algorithm solving the valued constraint satisfaction problem for a fixed number of variables…

最优化与控制 · 数学 2020-03-03 Manuel Bodirsky , Marcello Mamino , Caterina Viola

Detectability of failures of linear programming (LP) decoding and the potential for improvement by adding new constraints motivate the use of an adaptive approach in selecting the constraints for the underlying LP problem. In this paper, we…

信息论 · 计算机科学 2007-07-13 Mohammad H. Taghavi , Paul H. Siegel

We address the problem of testing weak optimality of a given solution of a given interval linear program. The problem was recently wrongly stated to be polynomially solvable. We disprove it. We show that the problem is NP-hard in general.…

最优化与控制 · 数学 2025-10-08 Miroslav Rada , Milan Hladík , Elif Garajová

In this paper, we address the problem of computing the maximal admissible robust positive invariant (MARPI) set for discrete-time linear time-varying systems with parametric uncertainties and additive disturbances. The system state and…

最优化与控制 · 数学 2024-06-26 Anchita Dey , Shubhendu Bhasin

Recently increasing penetration of renewable energy generation brings challenges for power system operators to perform efficient power generation daily scheduling, due to the intermittent nature of the renewable generation and discrete…

最优化与控制 · 数学 2019-10-22 Yongpei Guan , Kai Pan , Kezhuo Zhou

We investigate the computational complexity of deciding whether a given univariate integer polynomial p(x) has a factor q(x) satisfying specific additional constraints. When the only constraint imposed on q(x) is to have a degree smaller…

计算复杂性 · 计算机科学 2022-10-14 Alberto Dennunzio , Enrico Formenti , Luciano Margara

Detectability of failures of linear programming (LP) decoding and its potential for improvement by adding new constraints motivate the use of an adaptive approach in selecting the constraints for the LP problem. In this paper, we make a…

信息论 · 计算机科学 2007-07-13 Mohammad H. Taghavi N. , Paul H. Siegel

The problem of scheduling with testing in the framework of explorable uncertainty models environments where some preliminary action can influence the duration of a task. In the model, each job has an unknown processing time that can be…

数据结构与算法 · 计算机科学 2021-08-20 Susanne Albers , Alexander Eckl

We investigate the termination problem of a family of multi-path polynomial programs (MPPs), in which all assignments to program variables are polynomials, and test conditions of loops and conditional statements are polynomial equalities.…

编程语言 · 计算机科学 2020-09-02 Yangjia Li , Naijun Zhan , Mingshuai Chen , Hui Lu , Guohua Wu , Joost-Pieter Katoen

This paper deals with the robust stability analysis of linear systems, subject to time-varying parameters. The Parameter Dependent Lyapunov Function are considered, assuming that the temporal derivative of the parameters are bounded. Some…

最优化与控制 · 数学 2025-06-16 L. A. Mozelli , R. L. S. Adriano

We propose a novel constrained reinforcement learning method for finding optimal policies in Markov Decision Processes while satisfying temporal logic constraints with a desired probability throughout the learning process. An…

机器人学 · 计算机科学 2021-09-07 Derya Aksaray , Yasin Yazicioglu , Ahmet Semi Asarkaya

Constraint Satisfaction Problem on finite sets is known to be NP-complete in general but certain restrictions on the constraint language can ensure tractability. It was proved that if a constraint language has a weak near unanimity…

计算复杂性 · 计算机科学 2019-03-07 Dmitriy Zhuk

We explore a multiple-stage variant of the min-max robust selection problem with budgeted uncertainty that includes queries. First, one queries a subset of items and gets the exact values of their uncertain parameters. Given this…

最优化与控制 · 数学 2025-01-07 Xiaoyu Chen , Marc Goerigk , Michael Poss

In many power system optimization problems, we observe that only a small fraction of the line flow constraints ever become active at the optimal solution, despite variations in the load profile and generation costs. This observation has…

最优化与控制 · 数学 2019-04-04 Line Roald , Daniel K. Molzahn

Metric Temporal Logic (MTL) and Timed Propositional Temporal Logic (TPTL) extend Linear Temporal Logic (LTL) for real-time constraints, with MTL using time-bounded modalities and TPTL employing freeze quantifiers. Satisfiability for both is…

计算机科学中的逻辑 · 计算机科学 2024-11-04 Shankara Narayanan Krishna , Khushraj Madnani , Agnipratim Nag , Paritosh Pandya

In this paper, we propose a generalized successive approximation method (SAM), called invariantly admissible policy iteration (PI), for finding the solution to a class of input-affine nonlinear optimal control problems by iterations. Unlike…

最优化与控制 · 数学 2014-05-28 Jae Youg Lee , Jin Bae Park , Yoon Ho Choi
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