Temporal plan quality improvement and repair using local search

This paper presents an approach to repair or improve the quality of plans which make use of temporal and numeric constructs. While current stateof- the-art temporal planners are biased towards minimising makespan, the focus of this approach is to maximise plan quality. Local search is used to explore the neighbourhood of an input seed plan and find valid plans of a better quality with respect to the specified cost function. Experiments show that this algorithm is effective to improve plans generated by other planners, or to perform plan repair when the problem definition changes during the execution of a plan.peer-reviewe

Managing temporal cycles in planning problems requiring concurrency

To correctly model certain real-world planning problems, it is essential to take into account time. This is the case for problems requiring the concurrent execution of actions (known as temporally expressive problems). In this paper, we define and study the notion of temporally cyclic problems, that is problems involving sets of cyclically dependent actions. We characterize those temporal planning languages, which can express temporally cyclic problems. We also present a polynomial-time algorithm, which transforms a temporally cyclic problem into an equivalent acyclic problem. Applying our transformation allows any temporal planner to solve temporally cyclic problems without explicitly managing cyclicity. We first present our results for temporal PDDL (Planning Domain Description Language) 2.1 and then extend them to a language that allows conditions over arbitrary intervals and effects at arbitrary instants

Optimal Planning with State Constraints

In the classical planning model, state variables are assigned values in the initial state and remain unchanged unless explicitly affected by action effects. However, some properties of states are more naturally modelled not as direct effects of actions but instead as derived, in each state, from the primary variables via a set of rules. We refer to those rules as state constraints. The two types of state constraints that will be discussed here are numeric state constraints and logical rules that we will refer to as axioms. When using state constraints we make a distinction between primary variables, whose values are directly affected by action effects, and secondary variables, whose values are determined by state constraints. While primary variables have finite and discrete domains, as in classical planning, there is no such requirement for secondary variables. For example, using numeric state constraints allows us to have secondary variables whose values are real numbers. We show that state constraints are a construct that lets us combine classical planning methods with specialised solvers developed for other types of problems. For example, introducing numeric state constraints enables us to apply planning techniques in domains involving interconnected physical systems, such as power networks. To solve these types of problems optimally, we adapt commonly used methods from optimal classical planning, namely state-space search guided by admissible heuristics. In heuristics based on monotonic relaxation, the idea is that in a relaxed state each variable assumes a set of values instead of just a single value. With state constraints, the challenge becomes to evaluate the conditions, such as goals and action preconditions, that involve secondary variables. We employ consistency checking tools to evaluate whether these conditions are satisfied in the relaxed state. In our work with numerical constraints we use linear programming, while with axioms we use answer set programming and three value semantics. This allows us to build a relaxed planning graph and compute constraint-aware version of heuristics based on monotonic relaxation. We also adapt pattern database heuristics. We notice that an abstract state can be thought of as a state in the monotonic relaxation in which the variables in the pattern hold only one value, while the variables not in the pattern simultaneously hold all the values in their domains. This means that we can apply the same technique for evaluating conditions on secondary variables as we did for the monotonic relaxation and build pattern databases similarly as it is done in classical planning. To make better use of our heuristics, we modify the A* algorithm by combining two techniques that were previously used independently – partial expansion and preferred operators. Our modified algorithm, which we call PrefPEA, is most beneficial in cases where heuristic is expensive to compute, but accurate, and states have many successors

Short Term Unit Commitment as a Planning Problem

‘Unit Commitment’, setting online schedules for generating units in a power system to ensure supply meets demand, is integral to the secure, efficient, and economic daily operation of a power system. Conflicting desires for security of supply at minimum cost complicate this. Sustained research has produced methodologies within a guaranteed bound of optimality, given sufficient computing time. Regulatory requirements to reduce emissions in modern power systems have necessitated increased renewable generation, whose output cannot be directly controlled, increasing complex uncertainties. Traditional methods are thus less efficient, generating more costly schedules or requiring impractical increases in solution time. Meta-Heuristic approaches are studied to identify why this large body of work has had little industrial impact despite continued academic interest over many years. A discussion of lessons learned is given, and should be of interest to researchers presenting new Unit Commitment approaches, such as a Planning implementation. Automated Planning is a sub-field of Artificial Intelligence, where a timestamped sequence of predefined actions manipulating a system towards a goal configuration is sought. This differs from previous Unit Commitment formulations found in the literature. There are fewer times when a unit’s online status switches, representing a Planning action, than free variables in a traditional formulation. Efficient reasoning about these actions could reduce solution time, enabling Planning to tackle Unit Commitment problems with high levels of renewable generation. Existing Planning formulations for Unit Commitment have not been found. A successful formulation enumerating open challenges would constitute a good benchmark problem for the field. Thus, two models are presented. The first demonstrates the approach’s strength in temporal reasoning over numeric optimisation. The second balances this but current algorithms cannot handle it. Extensions to an existing algorithm are proposed alongside a discussion of immediate challenges and possible solutions. This is intended to form a base from which a successful methodology can be developed

Décomposition des problèmes de planification de tâches basée sur les landmarks

The algorithms allowing on-the-fly computation of efficient strategies solving a heterogeneous set of problems has always been one of the greatest challenges faced by research in Artificial Intelligence. To this end, classical planning provides to a system reasoning capacities, in order to help it to interact with its environment autonomously. Given a description of the world current state, the actions the system is able to perform, and the goal it is supposed to reach, a planner can compute an action sequence yielding a state satisfying the predefined goal. The planning problem is usually intractable (PSPACE-hard), however some properties of the problems can be automatically extracted allowing the design of efficient solvers.Firstly, we have developed the Landmark-based Meta Best-First Search (LMBFS) algorithm. Unlike state-of-the-art planners, usually based on state-space heuristic search, LMBFS reenacts landmark-based planning problem decomposition. A landmark is a fluent appearing in each and every solution plan. The LMBFS algorithm splits the global problem in a set of subproblems and tries to find a global solution using the solutions found for these subproblems. Secondly, we have adapted classical planning techniques to enhance the performance of our base algorithm, making LMBFS a competitive planner. Finally, we have tested and compared these methods.Les algorithmes permettant la création de stratégies efficaces pour la résolution d’ensemble de problèmes hétéroclites ont toujours été un des piliers de la recherche en Intelligence Artificielle. Dans cette optique, la planification de tâches a pour objectif de fournir à un système la capacité de raisonner pour interagir avec son environnement de façon autonome afin d’atteindre les buts qui lui ont été assignés. À partir d’une description de l’état initial du monde, des actions que le système peut exécuter, et des buts qu’il doit atteindre, un planificateur calcule une séquence d’actions dont l’exécution permet de faire passer l’état du monde dans lequel évolue le système vers un état qui satisfait les buts qu’on lui a fixés. Le problème de planification est en général difficile à résoudre (PSPACE-difficile), cependant certaines propriétés des problèmes peuvent être automatiquement extraites permettant ainsi une résolution efficace.Dans un premier temps, nous avons développé l’algorithme LMBFS (Landmarkbased Meta Best-First Search). À contre-courant des planificateurs state-of-the-art, basés sur la recherche heuristique dans l’espace d’états, LMBFS est un algorithme qui réactualise la technique de décomposition des problèmes de planification basés sur les landmarks. Un landmark est un fluent qui doit être vrai à un certain moment durant l’exécution de n’importe quel plan solution. L’algorithme LMBFS découpe le problème principal en un ensemble de sous-problèmes et essaie de trouver une solution globale grâce aux solutions trouvées pour ces sous-problèmes. Dans un second temps, nous avons adapté un ensemble de techniques pour améliorer les performances de l’algorithme. Enfin, nous avons testé et comparé chacune de ces méthodes permettant ainsi la création d’un planificateur efficace