Title
COLIN: planning with continuous linear numeric change
Abstract
In this paper we describe COLIN, a forward-chaining heuristic search planner, capable of reasoning with COntinuous LINear numeric change, in addition to the full temporal semantics of PDDL2.1. Through this work we make two advances to the state-of-the-art in terms of expressive reasoning capabilities of planners: the handling of continuous linear change, and the handling of duration-dependent effects in combination with duration inequalities, both of which require tightly coupled temporal and numeric reasoning during planning. COLIN combines FF-style forward chaining search, with the use of a Linear Program (LP) to check the consistency of the interacting temporal and numeric constraints at each state. The LP is used to compute bounds on the values of variables in each state, reducing the range of actions that need to be considered for application. In addition, we develop an extension of the Temporal Relaxed Planning Graph heuristic of CRIKEY3, to support reasoning directly with continuous change. We extend the range of task variables considered to be suitable candidates for specifying the gradient of the continuous numeric change effected by an action. Finally, we explore the potential for employing mixed integer programming as a tool for optimising the timestamps of the actions in the plan, once a solution has been found. To support this, we further contribute a selection of extended benchmark domains that include continuous numeric effects. We present results for COLIN that demonstrate its scalability on a range of benchmarks, and compare to existing state-of-the-art planners.
Year
Venue
Keywords
2012
J. Artif. Intell. Res. (JAIR)
continuous linear change,continuous linear numeric change,continuous change,chaining search,numeric reasoning,continuous numeric effect,numeric constraint,full temporal semantics,expressive reasoning capability,continuous numeric change
Field
DocType
Volume
Forward chaining,Heuristic,Mathematical optimization,Computer science,Planner,Integer programming,Artificial intelligence,Linear programming,Timestamp,Semantics,Machine learning,Scalability
Journal
44
Issue
Citations 
PageRank 
1
12
0.51
References 
Authors
56
43
Name
Order
Citations
PageRank
Andrew Coles145226.43
Maria Fox21776124.37
deliang long3120.51
Denis Deratani Mauá416524.64
Cassio Polpo De Campos554042.21
Marco Zaffalon689390.78
Christer Bäckström751551.43
p jonsson8120.51
Preslav I. Nakov91771138.66
Hwee Tou Ng104092300.40
Wenji Mao1146252.77
Jonathan Gratch123721379.33
pramit ghosh13120.51
archana sharma14131.54
P. P. Chakrabarti15784297.99
Pallab Dasgupta1637772.72
Magazzeni Daniele1724932.82
Patrik Haslum1882749.56
esperanza albacete19120.51
juan carlos rodas calle20120.51
elena castro21120.51
Dolores Cuadra227416.50
javier velez23120.51
garrett a hemann24241.20
albert s huang25241.20
ingmar posner26241.20
nicholas roy27181.13
michael c cooper28120.51
Stanislav Živny2922828.48
j huang30120.85
a kapoor31120.51
Carlos Guestrin329220488.92
Peter D. Turney336084534.36
Jörg Hoffmann342702189.88
ingo weber35120.51
frank kraft36120.51
Boris Konev3756942.08
michel ludwig38120.51
dirk walther39812.47
frank wolter40120.51
Carmel Domshlak412156123.57
Erez Karpas4214819.54
Shaul Markovitch433010262.77