Planning & Scheduling
Efficient Implementation of the Plan Graph in STAN
STAN is a Graphplan-based planner, so-called because it uses a variety of STate ANalysis techniques to enhance its performance. STAN competed in the AIPS-98 planning competition where it compared well with the other competitors in terms of speed, finding solutions fastest to many of the problems posed. Although the domain analysis techniques STAN exploits are an important factor in its overall performance, we believe that the speed at which STAN solved the competition problems is largely due to the implementation of its plan graph. The implementation is based on two insights: that many of the graph construction operations can be implemented as bit-level logical operations on bit vectors, and that the graph should not be explicitly constructed beyond the fix point. This paper describes the implementation of STAN's plan graph and provides experimental results which demonstrate the circumstances under which advantages can be obtained from using this implementation.
Constructing Conditional Plans by a Theorem-Prover
The research on conditional planning rejects the assumptions that there is no uncertainty or incompleteness of knowledge with respect to the state and changes of the system the plans operate on. Without these assumptions the sequences of operations that achieve the goals depend on the initial state and the outcomes of nondeterministic changes in the system. This setting raises the questions of how to represent the plans and how to perform plan search. The answers are quite different from those in the simpler classical framework. In this paper, we approach conditional planning from a new viewpoint that is motivated by the use of satisfiability algorithms in classical planning. Translating conditional planning to formulae in the propositional logic is not feasible because of inherent computational limitations. Instead, we translate conditional planning to quantified Boolean formulae. We discuss three formalizations of conditional planning as quantified Boolean formulae, and present experimental results obtained with a theorem-prover.
Computing All-Pairs Shortest Paths by Leveraging Low Treewidth
Planken, Léon R. (Delft University of Technology) | Weerdt, Mathijs M. de (Delft University of Technology) | Krogt, Roman P.J. van der (Cork Constraint Computation Centre)
Considering directed graphs on n vertices and m edges with real (possibly negative) weights, we present two new, efficient algorithms for computing all-pairs shortest paths (APSP). These algorithms make use of directed path consistency (DPC) along a vertex ordering d. The algorithms run in O(n 2 w d ) time, where w d is the graph width induced by this vertex ordering. For graphs of constant treewidth, this yields O(n 2 ) time, which is optimal. On chordal graphs, the algorithms run in O(nm) time. We show empirically that also in many general cases, both constructed and from realistic benchmarks, the algorithms often outperform Johnson's algorithm, which represents the current state of the art with a run time of O(nm + n 2 log n). These algorithms can be used for temporal and spatial reasoning, e.g. for the Simple Temporal Problem (STP), which underlines its relevance to the planning and scheduling community.
Cost-Sensitive Concurrent Planning Under Duration Uncertainty for Service-Level Agreements
Coles, Andrew Ian (University of Strathclyde) | Coles, Amanda Jane (University of Strathclyde) | Clark, Allan (University of Edinburgh) | Gilmore, Stephen (University of Edinburgh)
This paper brings together work in stochastic modelling, using the process algebra PEPA, and work in automated planning. Stochastic modelling has been concerned with verification of system performance metrics for some time: given a model of a system, determining whether it will meet a service-level agreement (SLA). For example, whether a given sequence of transitions on a network will complete within 5 seconds 80% of the time. The problem of deciding how to reconfigure the system most cost-effectively when the SLA cannot be met has not been widely explored: it is currently solved manually. Inspired by this, we consider how planning can be used to automate the configuration of service-oriented systems. Configuring these stochastic systems presents new challenges to planning: building plans that meet SLAs, but also have low cost. To this end, we present a domain-independent planner for planning problems with action costs and stochastic durations, and show how this can be used to solve both traditional planning domains, and within the framework of configuring a larger process algebra model.
A Polynomial All Outcome Determinization for Probabilistic Planning
Keller, Thomas (University of Freiburg) | Eyerich, Patrick (University of Freiburg)
Most predominant approaches in probabilistic planning utilize techniques from the more thoroughly investigated field of classical planning by determinizing the problem at hand. In this paper, we present a method to map probabilistic operators to an equivalent set of probabilistic operators in a novel normal form, requiring polynomial time and space. From this, we directly derive a determinization which can be used for, e.g., replanning strategies incorporating a classical planning system. Unlike previously described all outcome determinizations, the number of deterministic operators is not exponentially but polynomially bounded in the number of parallel probabilistic effects, enabling the use of more sophisticated determinization-based techniques in the future.
Exploiting the Computational Power of the Graphics Card: Optimal State Space Planning on the GPU
Sulewski, Damian (TZI, Universität Bremen) | Edelkamp, Stefan (TZI, Universität Bremen) | Kissmann, Peter (TZI, Universität Bremen)
In this paper optimal state space planning is parallelized by exploiting the processing power of a graphics card. The two exploration steps, namely selecting the actions to be applied and generating the successors, are performed on a graphics processing unit. Duplicate detection, however, is delayed to be executed on the central processing unit. Multiple cores are employed to bypass main memory latency. To increase processing speed for exact duplicate detection, the hash tables are lock-free. Moreover, a bucket-based representation enhances the concurrent distribution of frontier states. The planner supports cost-first exploration and is able to deal with a considerable fraction of current PDDL, including numerical state variables, complex objective functions, and goal preferences. It can maximize the net-benefit. Experimental findings show visible performance gains especially for larger benchmark problems.
Theoretical Aspects of Scheduling Coupled-Tasks in the Presence of Compatibility Graph
Simonin, Gilles (LIRMM - UM2 ) | Giroudeau, Rodolphe (LIRMM - UM2) | König, Jean-Claude (LIRMM - UM2) | Darties, Benoit (University of Dijon)
This paper presents a generalization of the coupled-task scheduling problem introduced by Shapiro, where considered tasks are subject to incompatibility constraint depicted by an undirected graph. The motivation of this problem comes from data acquisition and processing in a mono-processor torpedo used for underwater exploration. As we add the compatibility graph, we focus on complexity of the problem, and more precisely on the border between P and NP-completeness when some other input parameters are restricted (e.g. the ratio between the durations of the two sub-tasks composing a task): we adapt the global visualization of the complexity of scheduling problems with coupled-task given by Orman and Potts to our problem, determine new complexity results, and thus propose a new visualization including incompatibility constraint. In the end, we give a new polynomial-time approximation algorithm result which completes previous works.
Cross-Domain Action-Model Acquisition for Planning via Web Search
Zhuo, Hankz Hankui (Sun Yat-sen University) | Yang, Qiang (Hong Kong University of Science and Technology) | Pan, Rong (Sun Yat-sen University) | Li, Lei (Sun Yat-sen University)
Applying learning techniques to acquire action models is an area of intense research interest. Most previous works in this area have assumed that there is a significant amount of training data available in a planning domain of interest, which we call target domain, where action models are to be learned. However, it is often difficult to acquire sufficient training data to ensure that the learned action models are of high quality. In this paper, we develop a novel approach to learning action models with limited training data in the target domain by transferring knowledge from related auxiliary or source domains. We assume that the action models in the source domains have already been created before, and seek to transfer as much of the the available information from the source domains as possible to help our learning task. We first exploit a Web searching method to bridge the target and source domains, such that transferrable knowledge from source domains is identified. We then encode the transferred knowledge together with the available data from the target domain as constraints in a maximum satisfiability problem, and solve these constraints using a weighted MAX-SAT solver. We finally transform the solutions thus obtained into high-quality target-domain action models. We empirically show that our transfer-learning based framework is effective in several domains, including the International Planning Competition (IPC) domains and some synthetic domains.
Scalable Scheduling for Hardware-Accelerated Functional Verification
Moffitt, Michael D. (IBM Corporation) | Günther, Gernot E. (IBM Corporation)
We consider an application of scheduling to hardware-accelerated functional verification, a massively-parallel computational paradigm used in the simulation of complex integrated circuits. Our domain requires the compilation of logical primitives into a set of instruction memories that optimize the concurrency and communication between tightly synchronized processing units. The scheduling process is burdened by a complex model in which all logical dependencies must be resolved by a dynamic network of routes that compete for sparsely distributed resources. We describe a series of optimization steps that cooperate to minimize simulation depth while scaling to problem sizes on the order of a billion gates. Our approach targets an industrial acceleration architecture containing 262,144 parallel processors.
A Path Planning Algorithm for an AUV Guided with Homotopy Classes
Hernandez, Emili (University of Girona) | Carreras, Marc (University of Girona) | Ridao, Pere (University of Girona)
The paper proposes a method that uses topological information to guide path planning in any 2D workspace. Our method builds a topological environment based on the workspace to compute homotopy classes, which topologically describe how paths go through the obstacles in the workspace. Then, the homotopy classes are sorted according to an heuristic estimation of their lower bound. Only those with smaller lower bound are used to guide a planner based on the Rapidly-exploring Random Tree (RRT), called Homotopic RRT (HRRT), to compute the path in the workspace. Simulated and real results with an Autonomous Underwater V ehicle (AUV) are presented showing the feasibility of the proposal. Comparison with well-known path planning algorithms has also been included.