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Solving Zero-Sum Security Games in Discretized Spatio-Temporal Domains

AAAI Conferences

Among the many deployment areas of Stackelberg Security games, a major area involves games played out in space and time, which includes applications in multiple mobile defender resources protecting multiple mobile targets. Previous algorithms for such spatio-temporal security games fail to scale-up and little is known ofthe computational complexity properties of these problems.This paper provides a novel oracle-based algorithmic framework for a systematic study of different problem variants of computing optimal (minimax) strategies in spatio-temporal security games. Our framework enables efficient computation of a minimax strategy when the problem admits a polynomial-time oracle. Furthermore,for the cases in which efficient oracles are difficultto find, we propose approximations or prove hardness results.


Symbolic Domain Predictive Control

AAAI Conferences

Planning-based methods to guide switched hybrid systems from an initial state into a desired goal region opens an interesting field for control. The idea of the Domain Predictive Control (DPC) approach is to generate input signals affecting both the numerical states and the modes of the system by stringing together atomic actions to a logically consistent plan. However, the existing DPC approach is restricted in the sense that a discrete and pre-defined input signal is required for each action. In this paper, we extend the approach to deal with symbolic states. This allows for the propagation of reachable regions of the state space emerging from actions with inputs that can be arbitrarily chosen within specified input bounds. This symbolic extension enables the applicability of DPC to systems with bounded inputs sets and increases its robustness due to the implicitly reduced search space. Moreover, precise numeric goal states instead of goal regions become reachable.


Schedule-Based Robotic Search for Multiple Residents in a Retirement Home Environment

AAAI Conferences

In this paper we address the planning problem of a robot searching for multiple residents in a retirement home in order to remind them of an upcoming multi-person recreational activity before a given deadline. We introduce a novel Multi-User Schedule Based (M-USB) Search approach which generates a high-level-plan to maximize the number of residents that are found within the given time frame. From the schedules of the residents, the layout of the retirement home environment as well as direct observations by the robot, we obtain spatio-temporal likelihood functions for the individual residents. The main contribution of our work is the development of a novel approach to compute a reward to find a search plan for the robot using: 1) the likelihood functions, 2) the availabilities of the residents, and 3) the order in which the residents should be found. Simulations were conducted on a floor of a real retirement home to compare our proposed M-USB Search approach to a Weighted Informed Walk and a Random Walk. Our results show that the proposed M-USB Search finds residents in a shorter amount of time by visiting fewer rooms when compared to the other approaches.



A Support-Based Algorithm for the Bi-Objective Pareto Constraint

AAAI Conferences

Bi-Objective Combinatorial Optimization problems are ubiquitous in real-world applications and designing approaches to solve them efficiently is an important research area of Artificial Intelligence. In Constraint Programming, the recently introduced bi-objective Pareto constraint allows one to solve bi-objective combinatorial optimization problems exactly. Using this constraint, every non-dominated solution is collected in a single tree-search while pruning sub-trees that cannot lead to a non-dominated solution. This paper introduces a simpler and more efficient filtering algorithm for the bi-objective Pareto constraint. The efficiency of this algorithm is experimentally confirmed on classical bi-objective benchmarks.


Scheduling for Transfers in Pickup and Delivery Problems with Very Large Neighborhood Search

AAAI Conferences

In pickup and delivery problems (PDPs), vehicles pickup and deliver a set of items under various constraints. We address the PDP with Transfers (PDP-T), in which vehicles plan to transfer items between one another to form more efficient schedules. We introduce the Very Large Neighborhood Search with Transfers (VLNS-T) algorithm to form schedules for the PDP-T. Our approach allows multiple transfers for items at arbitrary locations, and is not restricted to a set of predefined transfer points. We show that VLNS-T improves upon the best known PDP solutions for benchmark problems, and demonstrate its effectiveness on problems sampled from real world taxi data in New York City.


DJAO: A Communication-Constrained DCOP Algorithm that Combines Features of ADOPT and Action-GDL

AAAI Conferences

In this paper we propose a novel DCOP algorithm, called DJAO, that is able toefficiently find a solution with low communication overhead; this algorithm can be used for optimal and bounded approximate solutions by appropriately setting the error bounds. Our approach builds on distributed junction trees used in Action-GDL to represent independence relationsamong variables. We construct an AND/OR search space based on these junction trees.This new type of search space results in higher degrees for each OR node, consequently yielding a more efficient search graph in the distributed settings. DJAO uses a branch-and-bound search algorithm to distributedly find solutions within this search graph. We introduce heuristics to compute the upper and lower boundestimates that the search starts with, which is integral to our approach for reducing communication overhead. We empirically evaluate our approach in various settings.


MaxSAT by Improved Instance-Specific Algorithm Configuration

AAAI Conferences

We show how both techniques can be combined MaxSAT is the optimization version of the Satisfiability and empirically demonstrate on SAT that our improved (SAT) problem. It can be used effectively to model problems method works notably better than the original method and in several domains, such as scheduling, timetabling, other instance-specific algorithm tuners. We then apply the FPGA routing, design and circuit debugging, software package new technique to MaxSAT. Finally, in extensive experiments installation, bioinformatics, probabilistic reasoning, etc. we show that the developed solvers significantly outperform From the research perspective, MaxSAT is also of particular the current state-of-the-art in every MaxSAT domain.


Boosting SBDS for Partial Symmetry Breaking in Constraint Programming

AAAI Conferences

The paper proposes a dynamic method, Recursive SBDS(ReSBDS), for efficient partial symmetry breaking. Wefirst demonstrate how (partial) Symmetry BreakingDuring Search (SBDS) misses important pruning opportunitieswhen given only a subset of symmetries tobreak. The investigation pinpoints the culprit and in turnsuggests rectification. The main idea is to add extra conditionalconstraints during search recursively to prunealso symmetric nodes of some pruned subtrees. Thus,ReSBDS can break extra symmetry compositions, butis carefully designed to break only the ones that areeasy to identify and inexpensive to break. We presenttheorems to guarantee the soundness and terminationof our approach, and compare our method with popularstatic and dynamic methods. When the variable (value)heuristic is static, ReSBDS is also complete in eliminatingall interchangeable variables (values) given only thegenerator symmetries. Extensive experimentations confirmthe efficiency of ReSBDS, when compared againststate of the art methods.


Scalable Complex Contract Negotiation with Structured Search and Agenda Management

AAAI Conferences

A large number of interdependent issues in complex contract negotiation poses a significant challenge for current approaches, which becomes even more apparent when negotiation problems scale up. To address this challenge, we present a structured anytime search process with an agenda management mechanism using a hierarchical negotiation model, where agents search at various levels during the negotiation with the guidance of a mediator. This structured negotiation process increases computational efficiency, making negotiations scalable for large number of interdependent issues. To validate the contributions of our approach, 1) we developed our proposed negotiation model using a hierarchical problem structure and a constraint-based preference model for real-world applications; 2) we defined a scenario matrix to capture various characteristics of negotiation scenarios and developed a scenario generator that produces test cases according to this matrix; and 3) we performed an extensive set of experiments to study the performance of this structured negotiation protocol and the influence of different scenario parameters, and investigated the Pareto efficiency and social welfare optimality of the negotiation outcomes. The experimental result supports the hypothesis that this hierarchical negotiation approach greatly improves scalability with the complexity of the negotiation scenarios.