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This research addresses a critical optimization challenge in AI planning by refining Integer Linear Programming formulations to efficiently extract high-utility subplans under strict budget constraints. By preserving original action order while maximizing goal utility, the proposed methods offer practical solutions for resource-limited autonomous systems where precomputed plans must adapt dynamically to new financial realities. The work advances algorithmic efficiency and model compactness in classical planning domains that rely heavily on automated decision-making frameworks.
Source coveringarXiv
What this isA model's reading of the article and related coverage, written for aiqbench. Not the publisher's words.

Finding Optimal Cost-Bounded Plan Reductions: Refined Model

arXiv2 min read

arXiv:2607.25484v1 Announce Type: new Abstract: In some real applications a plan may later become unfeasible due to newly imposed budget constraints, yet, at the same time, using only the original actions of the plan and their order is mandatory. In this paper, we study the problem of extracting, from a precomputed plan, a valid subplan that maximizes utility while respecting a cost bound. Each goal is given a utility value and the plan is reduced by removing actions that support low-utility goals, while preserving both executability and the original action order. We show the decision variant is NP-complete and propose two exact methods to solve it: one via oversubscription planning (OSP) and another via Integer Linear Programming (ILP). This paper extends our previous work published at ICAPS 2026 (Del Toro, Fuentetaja, and Garc\'ia-Olaya 2026b). While the core framework remains as introduced there, we further introduce a refined ILP formulation that significantly decreases the model size and improves computational efficiency.

Abstract:In some real applications a plan may later become unfeasible due to newly imposed budget constraints, yet, at the same time, using only the original actions of the plan and their order is mandatory. In this paper, we study the problem of extracting, from a precomputed plan, a valid subplan that maximizes utility while respecting a cost bound. Each goal is given a utility value and the plan is reduced by removing actions that support low-utility goals, while preserving both executability and the original action order. We show the decision variant is NP-complete and propose two exact methods to solve it: one via oversubscription planning (OSP) and another via Integer Linear Programming (ILP). This paper extends our previous work published at ICAPS 2026 (Del Toro, Fuentetaja, and García-Olaya 2026b). While the core framework remains as introduced there, we further introduce a refined ILP formulation that significantly decreases the model size and improves computational efficiency.

Extended version of a paper accepted at ICAPS 2026 (doi: https://doi.org/10.1609/icaps.v36i1.42849). Includes a new model and expanded experimental results

Artificial Intelligence (cs.AI)

arXiv:2607.25484 [cs.AI]

(or arXiv:2607.25484v1 [cs.AI] for this version)

https://doi.org/10.48550/arXiv.2607.25484 arXiv-issued DOI via DataCite (pending registration)

Full text under the publisher's open licence · 191 words

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