Goto

Collaborating Authors

 Planning & Scheduling


Integrating Planning and Scheduling in a CP Framework: A Transition-Based Approach

AAAI Conferences

Many potential real-world planning applications are on the border of planning and scheduling. To handle the complex choices of actions and temporal and resource constraints of these problems we need to integrate planning and scheduling techniques. Here we propose a transition-based formulation of temporal planning problems, that enables us to represent features like deadlines, time windows, release times etc. in a simple way. We describe a CSP encoding of the transition-based formulation and its potential advantages in integrating planning and scheduling techniques.


A Conformant Planner with Explicit Disjunctive Representation of Belief States

AAAI Conferences

This paper describes a novel and competitive complete conformant planner. Key to the enhanced performance is an efficient encoding of belief states as disjunctive normal form formulae and an efficient procedure for computing the successor belief state. We provide experimental comparative evaluation on a large pool of benchmarks. The novel design provides great efficiency and enhanced scalability, along with the intuitive structure of disjunctive normal form representations.


SAT-Based Parallel Planning Using a Split Representation of Actions

AAAI Conferences

Planning based on propositional SAT(isfiability) is a powerful approach to computing step-optimal plans given a parallel execution semantics. In this setting: (i) a solution plan must be minimal in the number of plan steps required, and (ii) non-conflicting actions can be executed instantaneously in parallel at a plan step. Underlying SAT-based approaches is the invocation of a decision procedure on a SAT encoding of a bounded version of the problem. A fundamental limitation of existing approaches is the size of these encodings. This problem stems from the use of a direct representation of actions — i.e. each action has a corresponding variable in the encoding. A longtime goal in planning has been to mitigate this limitation by developing a more compact split — also termed lifted — representation of actions in SAT encodings of parallel step-optimal problems. This paper describes such a representation. In particular, each action and each parallel execution of actions is represented uniquely as a conjunct of variables. Here, each variable is derived from action pre and post- conditions . Because multiple actions share conditions , our encoding of the planning constraints is factored and relatively compact. We find experimentally that our encoding yields a much more efficient and scalable planning procedure over the state-of-the-art in a large set of planning benchmarks.


Preferred Operators and Deferred Evaluation in Satisficing Planning

AAAI Conferences

Heuristic forward search is the dominant approach to satisficing planning to date. Most successful planning systems, however, go beyond plain heuristic search by employing various search-enhancement techniques.  One example is the use of helpful actions or preferred operators, providing information which may complement heuristic values.  A second example is deferred heuristic evaluation, a search variant which can reduce the number of costly node evaluations. Despite the wide-spread use of these search-enhancement techniques however, we note that few results have been published examining their usefulness. In particular, while various ways of using, and possibly combining, these techniques are conceivable, no work to date has studied the performance of such variations.  In this paper, we address this gap by examining the use of preferred operators and deferred evaluation in a variety of settings within best-first search. In particular, our findings are consistent with and help explain the good performance of the winners of the satisficing tracks at IPC 2004 and 2008.


Thinking Ahead in Real-Time Search

AAAI Conferences

We consider real-time planning problems in which some states are unsolvable, i.e., have no path to a goal. Such problems are difficult for real-time planning algorithms such as RTA* in which all states must be solvable. We identify a property called k-safeness, in which the consequences of a bad choice become apparent within k moves after the choice is made. When k is not too large, this makes it possible to identify unsolvable states in real time. We provide a modified version of RTA* that is provably complete on all k -safe problems. We derive k -safeness conditions for real-time deterministic versions of the well-known Tireworld and Racetrack domains, and provide experimental results showing that our modified version of RTA* works quite well in these domains.


Using Physics- and Sensor-based Simulation for High-Fidelity Temporal Projection of Realistic Robot Behavior

AAAI Conferences

Planning means deciding on the future course of action based on predictions of what will happen when an activity is carried out in one way or the other. As we apply action planning to autonomous, sensor-guided mobile robots with manipulators or even to humanoid robots we need very realistic and detailed predictions of the behavior generated by a plan in order to improve the robot's performance substantially. In this paper we investigate the high-fidelity temporal projection of realistic robot behavior based on physics- and sensor-based simulation systems. We equip a simulator and interpreter with means to log simulated plan executions into a database. A logic-based query and inference mechanism then retrieves and reconstructs the necessary information from the database and translates the information into a first-order representation of robot plans and the behavior they generate.  The query language enables the robot planning system to infer the intentions, the beliefs, and the world state at any projected time.  It also allows the planning system to recognize, diagnose, and analyze various plan failures typical for performing everyday manipulation tasks.


Information-Theoretic Approach to Efficient Adaptive Path Planning for Mobile Robotic Environmental Sensing

AAAI Conferences

Recent research in robot exploration and mapping has focused on sampling environmental hotspot fields. This exploration task is formalized by Low, Dolan, and Khosla (2008) in a sequential decision-theoretic planning under uncertainty framework called MASP. The time complexity of solving MASP approximately depends on the map resolution, which limits its use in large-scale, high-resolution exploration and mapping. To alleviate this computational difficulty, this paper presents an information-theoretic approach to MASP (iMASP) for efficient adaptive path planning; by reformulating the cost-minimizing iMASP as a reward-maximizing problem, its time complexity becomes independent of map resolution and is less sensitive to increasing robot team size as demonstrated both theoretically and empirically. Using the reward-maximizing dual, we derive a novel adaptive variant of maximum entropy sampling, thus improving the induced exploration policy performance. It also allows us to establish theoretical bounds quantifying the performance advantage of optimal adaptive over non-adaptive policies and the performance quality of approximately optimal vs. optimal adaptive policies. We show analytically and empirically the superior performance of iMASP-based policies for sampling the log-Gaussian process to that of policies for the widely-used Gaussian process in mapping the hotspot field. Lastly, we provide sufficient conditions that, when met, guarantee adaptivity has no benefit under an assumed environment model.


Pervasive Model Adaptation: The Integration of Planning and Information Gathering in Dynamic Production Systems

AAAI Conferences

Model-based planning often presumes a static system model, while in a practice physical system may evolve or drift over time. This paper proposes the idea of pervasive model adaptation in a production system, where the model is dynamically updated using observation of production output. The core idea is the interplay between model adaptation and production planning. We seek plans which simultaneously serve the goals of achieving high productivity for production, and information gathering for model adaptation. We use a modular printing example to illustrate issues such as formulation of the information criterion and search strategy for informative plans. The idea of pervasive adaptation can be further extended to improve long term productivity in production systems.


Inference and Decomposition in Planning Using Causal Consistent Chains

AAAI Conferences

Current state-of-the-art planners solve problems, easy and hard alike, by search, expanding hundreds or thousands of nodes. Yet, given the ability of people to solve easy problems and to explain their solutions, it seems that an essential inferential component may be missing. The reasons expressed by people for selecting  actions appear to be related to causal chains: sequences of causal links a i → p i + 1 , i = 0, ..., n – 1, such that a 0 is applicable in the current state, p i is a precondition of action a i , and p n is a goal. Some of these causal chains or paths appear to be good, some bad, others appear to be impossible. In this work, we focus on such paths and develop three techniques for performing inference over them  from which a  path-based planner is obtained. We define the conditions under which a path is consistent, provide an heuristic estimate of the cost of achieving the goal along a consistent path, and introduce a planning algorithm that uses paths as decomposition backbones. The resulting planner, called C3, is not complete and does not perform as well as recent planners that carry extensive but extremely efficient searches such as LAMA, but is competitive with FF and in particular, with FF running in EHC mode which yields very focused but incomplete searches, and thus provides, a more apt comparison. Moreover, many domains are solved backtrack-free, with no search at all, suggesting that planning with paths may be a meaningful idea both cognitively and computationally.


Optimality Properties of Planning Via Petri Net Unfolding: A Formal Analysis

AAAI Conferences

We provide a theoretical analysis of planning via Petri net unfolding, a novel technique for synthesising parallel plans. Parallel plans are generally valued for their execution flexi- bility, which manifests as alternative choices for the order- ing of operators and potentially faster plan executions. Being a relatively new approach, the flexibility properties of plans synthesised via unfolding, and even the concurrency seman- tics supported by this technique, are particularly unclear and only understood at an informal level. In this paper, we first formally characterise the concurrency semantics of planning via unfolding as a further restriction on the standard notion of independence. More importantly, we then prove that plans obtained using this approach are optimal deorderings and op- timal reorderings in terms of the number of ordering con- straints on operators and plan execution time, respectively. These results provide objective guarantees on the quality of plans obtained by the unfolding technique.