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 Constraint-Based Reasoning


Activity-Based Search for Black-Box Contraint-Programming Solvers

arXiv.org Artificial Intelligence

Robust search procedures are a central component in the design of black-box constraint-programming solvers. This paper proposes activity-based search, the idea of using the activity of variables during propagation to guide the search. Activity-based search was compared experimentally to impact-based search and the WDEG heuristics. Experimental results on a variety of benchmarks show that activity-based search is more robust than other heuristics and may produce significant improvements in performance.


Reasoning on Interval and Point-based Disjunctive Metric Constraints in Temporal Contexts

arXiv.org Artificial Intelligence

We introduce a temporal model for reasoning on disjunctive metric constraints on intervals and time points in temporal contexts. This temporal model is composed of a labeled temporal algebra and its reasoning algorithms. The labeled temporal algebra defines labeled disjunctive metric point-based constraints, where each disjunct in each input disjunctive constraint is univocally associated to a label. Reasoning algorithms manage labeled constraints, associated label lists, and sets of mutually inconsistent disjuncts. These algorithms guarantee consistency and obtain a minimal network. Additionally, constraints can be organized in a hierarchy of alternative temporal contexts. Therefore, we can reason on context-dependent disjunctive metric constraints on intervals and points. Moreover, the model is able to represent non-binary constraints, such that logical dependencies on disjuncts in constraints can be handled. The computational cost of reasoning algorithms is exponential in accordance with the underlying problem complexity, although some improvements are proposed.


Scheduling an Aircraft Repair Shop

AAAI Conferences

We address a scheduling problem in the context of military aircraft maintenance where the goal is to meet the aircraft requirements for a number of missions in the presence of breakdowns. The assignment of aircraft to a mission must consider the requirements for the mission, the probability of aircraft failure, and capacity of the repair shop that maintains the aircraft. Therefore, a solution both assigns aircraft to missions and schedules the repair shop to meet the assignments. We propose a dispatching heuristic algorithm; three complete approaches based on mixed integer programming, constraint programming, and logic-based Benders decomposition; and a hybrid heuristic-complete approach. Experiments demonstrate that the logic-based Benders variation combining mixed integer programming and constraint programming outperforms the other approaches, that the dispatching heuristic can feasibly schedule the repair shop in a very short time, and that using the dispatching solution as a bound marginally improves the complete approaches.


Special Track on Cognition and Artificial Intelligence

AAAI Conferences

Cognitive psychology and artificial intelligence have provided valuable insights into the scope and limitations of human thought and behavior. As technology becomes more of a fixture in our daily routines, advances in artificial intelligence increasingly impact how we think and interact with others. This track is motivated by these two fronts of research: the basic theoretical integration of cognition and artificial intelligence; and its application to real-world domains. As such, the track will cover a wide range of issues. We welcomed submissions in any area where cognition and computers are mutually explored, but especially encouraged work in how humans and computers communicate or how artificial intelligence facilitates communication.


Preference Elicitation and Winner Determination in Multi-Attribute Auctions

AAAI Conferences

Multi-Attribute Reverse Auctions (MARAs) are excellent protocols to automate negotiation among sellers. Eliciting the buyer0s preferences and determining the winner are both challenging problems for MARAs. To solve these problems, we propose two algorithms namely MAUT* and CP-net*, which are respectively the improvement of the Multi-Attribute Utility Theory (MAUT) and constrained CP-net. The buyers can now express conditional, qualitative as well as quantitative preferences over the item attributes. To evaluate the performance in time of the proposed algorithms, we conduct an experimental study on several problem instances. The results favor MAUT* in most of the cases.


A Novel Constraint Model for Parallel Planning

AAAI Conferences

A parallel plan is a sequence of sets of actions such that any ordering of actions in the sets gives a traditional sequential plan. Parallel planning was popularized by the Graphplan algorithm and it is one of the key components of successful SAT-based planers. SAT-based planners have recently begun to exploit multi-valued state variables – an area which seems traditionally more suited for constraint-based planners – and they improved their performance further. In this paper we propose a novel view of constraint-based planning that uses parallel plans and multi-valued state variables. Rather than starting with the planning graph structure like other parallel planners, this novel approach is based on the idea of timelines and their synchronization.


Partial-Order Support-Link Scheduling

AAAI Conferences

Partial-order schedules are valued because they are flexible, and therefore more robust to unexpected delays. Previous work has indicated that constructing partial-order schedules by a two-stage method, in which a fixed-time schedule is first found and a partial order then lifted from it, is far more efficient than constructing them directly by a least-commitment partial-order scheduling algorithm. However, the two-stage method is limited to exploring only a fraction of the space of partial-order schedules, namely those that can be obtained from the given fixed-time schedule. We introduce a novel constraint formulation of partial-order scheduling, which establishes explicit resource-providing "links" between activities instead of detecting and eliminating potential resource conflicts. We show that this yields an algorithm that is much faster than previous (precedence constraint posting) partial-order scheduling methods, and comparable to the two-stage method in terms of the quality and robustness of the schedules it finds. This algorithm is also complete, and because it searches the entire space of partial-order schedules, can be adapted to optimising different robustness criteria.


Hybrid Tractable Classes of Binary Quantified Constraint Satisfaction Problems

arXiv.org Artificial Intelligence

In this paper, we investigate the hybrid tractability of binary Quantified Constraint Satisfaction Problems (QCSPs). First, a basic tractable class of binary QCSPs is identified by using the broken-triangle property. In this class, the variable ordering for the broken-triangle property must be same as that in the prefix of the QCSP. Second, we break this restriction to allow that existentially quantified variables can be shifted within or out of their blocks, and thus identify some novel tractable classes by introducing the broken-angle property. Finally, we identify a more generalized tractable class, i.e., the min-of-max extendable class for QCSPs.


Arc Consistency and Friends

arXiv.org Artificial Intelligence

A natural and established way to restrict the constraint satisfaction problem is to fix the relations that can be used to pose constraints; such a family of relations is called a constraint language. In this article, we study arc consistency, a heavily investigated inference method, and three extensions thereof from the perspective of constraint languages. We conduct a comparison of the studied methods on the basis of which constraint languages they solve, and we present new polynomial-time tractability results for singleton arc consistency, the most powerful method studied.


Translation-based Constraint Answer Set Solving

arXiv.org Artificial Intelligence

We solve constraint satisfaction problems through translation to answer set programming (ASP). Our reformulations have the property that unit-propagation in the ASP solver achieves well defined local consistency properties like arc, bound and range consistency. Experiments demonstrate the computational value of this approach.