---
title: "Parameterized Complexity of Optimal Planning: A Detailed Map"
authors:
  - "Martin Kronegger"
  - "Andreas Pfandler"
  - "Reinhard Pichler"
doi: ""
url: "https://ijcai.org/proceedings/2013/146"
pdf: "https://ijcai.org/proceedings/2013/0146.pdf"
venue: "Proceedings of the Twenty-Third International Joint Conference on Artificial Intelligence"
year: 2013
pages: "954-960"
track: ""
keywords:
---

# Parameterized Complexity of Optimal Planning: A Detailed Map

Martin Kronegger, Andreas Pfandler, Reinhard Pichler

*Proceedings of the Twenty-Third International Joint Conference on Artificial Intelligence*, pages 954-960.

## Abstract

The goal of this paper is a systematic parameterized complexity analysis of different variants of propositional STRIPS planning. We identify several natural problem parameters and study all possible combinations of 9 parameters in 6 different settings. These settings arise, for instance, from the distinction if negative effects of actions are allowed or not. We provide a complete picture by establishing for each case either paraNP-hardness (i.e., the parameter combination does not help) or W[t]-completeness with t ∈ 1,2 (i.e., fixed-parameter intractability), or FPT (i.e., fixed-parameter tractability).