Difference between revisions of "Problems"

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I propose two problems (Tower of Hanoi and Blocks-World 3D), which respect the requirements discussed above, and which are described in <ref>Fabien Lagriffoul. ''On Benchmarks for Combined Task and Motion Planning.'' TAMP Workshop, RSS 2016.</ref>. I find these problems interesting due to the strong dependencies between logical and geometric level, plus the fact that they can be scaled up [to be completed].
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== Problem 1 : Tower of Hanoi ==
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[[File:bm1.jpg|problem 1|300px]]
  
Added the rearrangement planning problem following the discussion
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==== Description ====
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Tower of Hanoi with mobile robots<ref>S. Cambon, R. Alami, and F. Gravot. A hybrid approach to intricate motion, manipulation and task planning. The Int. Journal of Robotics Research, 2009.</ref>. Work in progress: converting this problem to a humanoid robot setup.
  
== Tower of Hanoi ==
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==== Challenge ====
[[File:bm1.jpg|problem 1|300px]]
 
  
Tower of Hanoi with mobile robots<ref>S. Cambon, R. Alami, and F. Gravot. A hybrid approach to intricate motion, manipulation and task planning. The Int. Journal of Robotics Research, 2009.</ref>. Work in progress: converting this problem to a humanoid robot setup.
 
  
== Blocks-World 3D ==
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== Problem 2 : Blocks-World 3D ==
 
[[File:bm2.jpg|problem 2|300px]]
 
[[File:bm2.jpg|problem 2|300px]]
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==== Description ====
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==== Challenge ====
  
 
Blocks-World 3D with geometric constraint on the (mandatory) intermediate location.
 
Blocks-World 3D with geometric constraint on the (mandatory) intermediate location.
  
== Rearrangement planning ==
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== Problem 3 : Rearrangement Planning ==
 
[[File:bm3.jpg|problem 3|400px]]
 
[[File:bm3.jpg|problem 3|400px]]
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==== Description ====
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==== Challenge ====
  
 
The rearrangement planning problem
 
The rearrangement planning problem
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<ref>F. Lagriffoul, B. Andres, ''Combining Task and Motion Planning: a culprit detection problem'', The International Journal of Robotics Research, 2016.</ref>.
 
<ref>F. Lagriffoul, B. Andres, ''Combining Task and Motion Planning: a culprit detection problem'', The International Journal of Robotics Research, 2016.</ref>.
  
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== Problem 4 : Sorting Objects ==
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[[File:bm4.jpg|problem 4|300px]]
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==== Description ====
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The goal constraints are that all 7 blue blocks must be on the left table and all 7 green blocks must be on the right table. There are also  14  red  blocks.
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==== Challenge ====
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The close proximity of the blocks forces the planner to carefully order its operations as well as to move red blocks out of the way.
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== Problem 5 : Non-Monotonic ==
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[[File:bm5.jpg|problem 5|300px]]
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==== Description ====
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The robot must move the green blocks from the left table to a corresponding position on the right table. Both the initial and goal poses are blocked by four blue and cyan blocks respectively.
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==== Challenge ====
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Critically, the blue and cyan blocks have goal conditions to remain in their initial poses. This is the source of the nonmonotonicity as the robot must undo several goals by moving the blue and cyan blocks in order to solve the problem.
  
 
== References ==
 
== References ==

Revision as of 15:41, 13 January 2017

Problem 1 : Tower of Hanoi

problem 1

Description

Tower of Hanoi with mobile robots[1]. Work in progress: converting this problem to a humanoid robot setup.

Challenge

Problem 2 : Blocks-World 3D

problem 2

Description

Challenge

Blocks-World 3D with geometric constraint on the (mandatory) intermediate location.

Problem 3 : Rearrangement Planning

problem 3

Description

Challenge

The rearrangement planning problem [2] [3].

Problem 4 : Sorting Objects

problem 4

Description

The goal constraints are that all 7 blue blocks must be on the left table and all 7 green blocks must be on the right table. There are also 14 red blocks.

Challenge

The close proximity of the blocks forces the planner to carefully order its operations as well as to move red blocks out of the way.

Problem 5 : Non-Monotonic

problem 5

Description

The robot must move the green blocks from the left table to a corresponding position on the right table. Both the initial and goal poses are blocked by four blue and cyan blocks respectively.

Challenge

Critically, the blue and cyan blocks have goal conditions to remain in their initial poses. This is the source of the nonmonotonicity as the robot must undo several goals by moving the blue and cyan blocks in order to solve the problem.

References

  1. S. Cambon, R. Alami, and F. Gravot. A hybrid approach to intricate motion, manipulation and task planning. The Int. Journal of Robotics Research, 2009.
  2. G. Havur et al., Geometric rearrangement of multiple movable objects on cluttered surfaces: A hybrid reasoning approach, Proceedings of ICRA 2014.
  3. F. Lagriffoul, B. Andres, Combining Task and Motion Planning: a culprit detection problem, The International Journal of Robotics Research, 2016.