Planning & Scheduling
Exploiting N-Gram Analysis to Predict Operator Sequences
Muise, Christian (University of Toronto) | McIlraith, Sheila (University of Toronto) | Baier, Jorge A. (University of Toronto) | Reimer, Michael (University of Toronto)
N-gram analysis provides a means of probabilistically predicting the next item in a sequence. Due originally to Shannon, it has proven an effective technique for word prediction in natural language processing and for gene sequence analysis. In this paper, we investigate the utility of n-gram analysis in predicting operator sequences in plans. Given a set of sample plans, we perform n-gram analysis to predict the likelihood of subsequent operators, relative to a partial plan. We identify several ways in which this information might be integrated into a planner. In this paper, we investigate one of these directions in further detail. Preliminary results demonstrate the promise of n-gram analysis as a tool for improving planning performance.
Learning User Plan Preferences Obfuscated by Feasibility Constraints
Li, Nan (Arizona State University) | Cushing, William (Arizona State University) | Kambhampati, Subbarao (Arizona State University) | Yoon, Sungwook (Arizona State University)
It has long been recognized that users can have complex preferences on plans. Non-intrusive learning of such preferences by observing the plans executed by the user is an attractive idea. Unfortunately, the executed plans are often not a true representation of user preferences, as they result from the interaction between user preferences and feasibility constraints. In the travel planning scenario, a user whose true preference is to travel by a plane may well be frequently observed traveling by car because of feasibility constraints (perhaps the user is a poor graduate student). In this work, we describe a novel method for learning true user preferences obfuscated by such feasibility constraints. Our base learner induces probabilistic hierarchical task networks (pHTNs) from sets of training plans. Our approach is to rescale the input so that it represents the user's preference distribution on plans rather than the observed distribution on plans.
From Discrete Mission Schedule to Continuous Implicit Trajectory using Optimal Time Warping
Keith, Francois (JRL-Japon / LIRMM, CNRS) | Mansard, Nicolas (LAAS, CNRS) | Miossec, Sylvain (PRISME-Universite d’Orleans, Bourges, France) | Kheddar, Abderrahmane (JRL-Japon / LIRMM, CNRS)
This paper presents a generic solution to apply a mission described by a sequence of tasks on a robot while accounting for its physical constraints, without computing explicitly a reference trajectory. A naive solution to this problem would be to schedule the execution of the tasks sequentially, avoiding concurrency. This solution does not exploit fully the robot capabilities such as redundancy and have poor performance in terms of execution time or energy. Our contribution is to determine the time-optimal realization of the mission taking into account robotic constraints that may be as complex as collision avoidance. Our approach achieves more than a simple scheduling; its originality lies in maintaining the task approach in the formulated optimization of the task sequencing problem. This theory is exemplified through a complete experiment on the real HRP-2 robot.
Path-Adaptive A* for Incremental Heuristic Search in Unknown Terrain
Hernandez, Carlos (Universidad Católica de la Smma. Concepción) | Meseguer, Pedro (Institute d'Investigacio) | Sun, Xiaoxun (University of Southern California) | Koenig, Sven (University of Southern California)
Adaptive A* is an incremental version of A* that updates the h-values of the previous A* search to make them more informed and thus future A* searches more focused. In this paper, we show how the A* searches performed by Adaptive A* can reuse part of the path of the previous search and terminate before they expand a goal state, resulting in Path-Adaptive A*. We demonstrate experimentally that Path-Adaptive A* expands fewer states per search and runs faster than Adaptive A* when solving path-planning problems in initially unknown terrain.
h m ( P ) = h 1 ( P m ): Alternative Characterisations of the Generalisation From h max To h m
Haslum, Patrik (Australian National University)
The h m ( m = 1 ... ) family of admissible heuristics for STRIPS planning with additive costs generalise the h max heuristic, which results when m = 1. We show that the step from h 1 to h m can be made by changing the planning problem instead of the heuristic function. This furthers our understanding of the h m heuristic, and may inspire application of the same generalisation to admissible heuristics stronger than h max . As an example, we show how it applies to the additive variant of h m obtained via cost splitting.
An Automatically Configurable Portfolio-based Planner with Macro-actions: PbP
Gerevini, Alfonso (University of Brescia) | Saetti, Alessandro (University of Brescia) | Vallati, Mauro (University of Brescia)
The field of automated plan generation has recently significantly advanced. However, while several powerful domainindependent PbP has two variants: PbP.s focusing on speed, and planners have been developed, no one of these PbP.q focusing on plan quality. PbP.s entered the learning clearly outperforms all the others in every known benchmark track of the sixth international planning competition (IPC6), domain. It would then be useful to have a multi-planner system and was the overall winner of this competition track (Fern, that automatically selects and combines the most efficient Khardon and Tadepalli 2008). The paper includes some experimental planner(s) for each given domain.
Computing Robust Plans in Continuous Domains
Fritz, Christian (University of Toronto) | McIlraith, Sheila (University of Toronto)
We define the robustness of a sequential plan as the probability that it will execute successfully despite uncertainty in the execution environment. We consider a rich notion of uncertainty over continuous domains that includes stochastic action effects, and changes to state variables due to unpredictable exogenous events. Given a characterization of this uncertainty in terms of probability distributions (e.g., Gaussian) our contributions are two-fold: First, we describe a novel approach to computing the robustness of a plan in the situation calculus, which (a) separates the projection problem from the problem of reasoning about probability, and (b) explicitly reveals the relevance and statistical independence of random variables and events (i.e., conditions that contain random variables). Then, building on this approach, we describe a forward search based planner that generates maximally robust plans, exploiting the revealed structure for speed-up. Preliminary empirical results demonstrate that our approach can realize exponential savings in both time and space compared to the classical sampling approach.
Multi-Goal Planning for an Autonomous Blasthole Drill
Elinas, Pantelis (The University of Sydney)
This paper presents multi-goal planning for an autonomous blasthole drill used in open pit mining operations. Given a blasthole pattern to be drilled and constraints on the vehicle's motion and orientation when drilling, we wish to compute the best order in which to drill the given pattern. Blasthole pattern drilling is an asymmetric Traveling Salesman Problem with precedence constraints specifying that some holes must be drilled before others. We wish to find the minimum cost tour according to criteria that minimize the distance travelled satisfying the precedence and vehicle motion constraints. We present an iterative method for solving the blasthole sequencing problem using the combination of a Genetic Algorithm and motion planning simulations that we use to determine the true cost of travel between any two holes.
Acquisition of Object-Centred Domain Models from Planning Examples
Cresswell, Stephen (University of Huddersfield) | McCluskey, Thomas Leo (University of Huddersfield) | West, Margaret (University of Huddersfield)
The problem of formulating knowledge bases containing action schema is a central concern in knowledge engineering for AI Planning. This paper describes LOCM, a system which carries out the automated induction of action schema from sets of example plans. Each plan is assumed to be a sound sequence of actions; each action in a plan is stated as a name and a list of objects that the action refers to. LOCM exploits the assumption that actions change the state of objects, and require objects to be in a certain state before they can be executed. The novelty of LOCM is that it can induce action schema without being provided with any information about predicates or initial, goal or intermediate state descriptions for the example action sequences. In this paper we describe the implemented LOCM algorithm, and analyse its performance by its application to the induction of domain models for several domains. To evaluate the algorithm, we used random action sequences from existing models of domains, as well as solutions to past IPC problems.
Ant Search Strategies For Planning Optimization
Baioletti, Marco (University of Perugia) | Milani, Alfredo (University of Perugia) | Poggioni, Valentina (University of Perugia) | Rossi, Fabio (University of Perugia)
In this paper a planning framework based on Ant Colony Optimization techniques is presented. It is well known that finding optimal solutions to planning problems is a very hard computational problem. Stochastic methods do not guarantee either optimality or completeness, but it has been proved that in many applications they are able to find very good, often optimal, solutions. We propose several approaches based both on backward and forward search over the state space, using several heuristics and testing different pheromone models in order to solve sequential optimization planning problems.