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asprilo

Encodings for asprilo environments

Conventions

The encodings are grouped in two directories

  • mppd contains fine-grained encodings dealing with move, pickup, putdown, and deliver actions and distinguish robots, shelves, stations, etc and take robots carrying shelves into account for collision protection

  • xapf contains encodings addressing more abstract problems, like MAPF, TAPF, GTAPF, etc

We adopt the following conventions:

  • letters M, P, P, and D stand for actions move, pickup, putdown, and deliver
  • digits 2 and 3 indicated the arity of actions pickup and putdown
    • 2 without shelf representation
    • 3 with shelf representation
  • letters 0, r, and q indicate the treatment of order lines during delivery
    • This applies to all files preceded with goal- in the mppd setting
  • file extensions lp, ilp, clp, and iclp stand for regular, incremental, constraint, and incremental constraint logic programs
    • since integer variables are uses for product quantities and robot and shelf positions, I sometimes need auxiliary letters to disambiguate, eg a capital C stands for both usages, a mere b is like a c but applied to positions
  • omissions of such indicators are treated like wild-cards

Compatibility

  • compatibility is achieved by combing files with same (or similar) attributes

Action theories

  • Keyword action precedes files containing action theories
  • Example action-M.lp, action-MPP.lp, action-MPP.iclp, etc.

Goal conditions

  • Keyword goal precedes files fixing goal conditions and in particular what constitutes a delivery
  • as mentioned above, letters 0, r, and q indicate the treatment of order lines during delivery

Interface to asprilo

  • Keywords input and output precede files converting
    • asprilo instances to the format used in action theories and
    • the resulting plan into the format of asprilo
  • Example input.lp, output-M.lp, output-MPPD.lp

Goals

  • Keyword goal precedes files specifying goal conditions
  • Goals counting quantities are indicated with letter Q and include the corresponding encoding for quantities
  • Goals with ending 0 and r indicate whether all products belonging to an order are processed simultaneously (0) or at rate r (default is 1)
  • Example goal-D-0.clp, goal-D-r.ilp, goal-M.lp, goal-D-q.lp

Quantities

  • Keyword quantities precedes files dealing with amounts of products
  • Similarly letter q indicates quantities; now used with goals
  • Attention This needs a constraint ASP solver like clingcon
  • Example quantities.lp, quantities.clp, quantities.ilp, quantities.iclp

Strategies

  • Keyword strategy precedes files specifying strategies
  • Example strategy-MPPD.lp
  • Some strategies may not work with all layouts!

Highways

  • Keyword highways precedes files specifying conditions for places belonging to highways
  • Example highways.ilp, highways.lp,

Optimization

  • Keyword optimization precedes files specifying objective functions
  • Example optimization.ilp, optimization.lp
  • experimental feature

Heuristics

  • Keyword heuristic precedes files specifying heuristics with clingo's #heuristic directive
  • Example heuristic.ilp, heuristic.lp
  • experimental feature

Auxiliaries

  • files preceded with show provide #show statements for use with terminal output

Examples

  • Some warehouse layouts merged with orders can be found in the directory examples Many of them contain (uncommented) calls in their header
  • Here are some exemplary calls
    • clingo action-MPP.lp strategy-MPP.lp goal-D-0.lp show.lp examples/x4_y4_n16_r2_s3_ps1_pr2_u4_o2_N1.lp -c horizon=8
  • To produce plans ready for asprilo use clingo option
    • --outf=0 -V0 --out-atomf=%s. together with UNIX command head -n1 to strip off the trailing (UN)SATISFIABLE
    • or the included script clingo1facts (all facts in one line)
  • Sometimes it is also nice to see an answer set as a single column, as done with clingo option --out-ifs='\n'
    • This is also done with script clingo2facts

asprilo connectivity

  • Examples connecting to asprilo on the command-line
    • clingo action-MPP.lp goal-D-0.lp examples/x4_y4_n16_r2_s3_ps1_pr2_u4_o2_N1.lp -c horizon=8 output-MPPD.lp --outf=0 -V0 --out-atomf=%s. | head -n1 | asprilo-visualizer
  • asprilo is available at github

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Encodings for aspilro environments

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