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Controllability:  A soundness criterion for services Karsten Wolf Universität Rostock, Germany
Service Workflow Workflow net   + Interface =  Service open   Workflow net  
Wellformedness Workflow nets:  Soundness - always possible to reach end state - every transition reachable open Workflow nets:  There exist partner(s) such that - always possible to reach end state  (Controllability) - every transition reachable (Transition covering)  strategy,  covering strategy
Setting I: Centralized strategy - A  single  partner connected to  all interface places such that ...   ?
Setting II: Decentralized Strategy …with respect to given partition into ports - A family of  one partner per port   such that.... ? ?  
Setting III: Autonomous Strategy ,[object Object],?  
Deciding centralized  controllability Step 1: upper approximation of  partner behaviour (  ,-) € C T B      oWFN can move partner can move both can move end state deadlock !€ !C !T (  ,C) (  ,€) , (  ,-) (  ,T) !T !€ (  ,CT) (  ,C€),(  ,C),(  ,-) , (  ,B) !€ ?B !T !C !T !C !€ ?B !C (  ,T€),(  ,T),(  ,-) , (  ,B) (  ,-) (  ,C€T),(  ,CT),(  ,T),(  ,C), (  ,T) (  ,C)
Deciding centralized  controllability Step 2: remove bad states (  ,-) !T !€ (  ,CT) (  ,C€),(  ,C),(  ,-) , (  ,B) ?B !C !T !C !€ ?B (  ,T€),(  ,T),(  ,-) , (  ,B) (  ,-) € C T B      oWFN can move partner can move both can move end state deadlock !€ !C !T (  ,C) (  ,€) , (  ,-) (  ,T) !€ !T !C (  ,C€T),(  ,CT),(  ,T),(  ,C), (  ,T) (  ,C)
Deciding centralized  controllability Step 3: iterate (  ,-) !€ (  ,C€),(  ,C),(  ,-) , (  ,B) ?B !C !T !€ ?B (  ,T€),(  ,T),(  ,-) , (  ,B) (  ,-) € C T B      oWFN can move partner can move both can move end state deadlock !€ !C !T (  ,C) (  ,€) , (  ,-) (  ,T) !T (  ,CT) !C
Deciding centralized  controllability Step 4: (optional): construct oWFN (  ,-) !€ (  ,C€),(  ,C),(  ,-) , (  ,B) ?B !C !T !€ ?B (  ,T€),(  ,T),(  ,-) , (  ,B) (  ,-) € C T B      !€ !C !T (  ,C) (  ,€) , (  ,-) (  ,T) € C T B
Centralized controllability: results ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Decentralized controllability traced back to centralized case:  C 1  ... C n      C 1  || ... || C n   Approach:  as centralized case, but remove - bad states - states where actions belonging to different parties are not commutative Algorithm is nondeterministic
Example a b   !b !a !a 1. !b 2.
Decentralized controllability: results ,[object Object],[object Object]
Autonomous controllability a b  ? not autonomously controllable
Autonomous controllability ,[object Object],[object Object],[object Object],[object Object],[object Object]
Rules for cooperation ,[object Object],a   2. If only receive transitions are activated in inner oWFN,  including one for  your  part of interface, provide an action (impossible in this example) a b   a b  
Results: Autonomous controllability ,[object Object],[object Object],[object Object],[object Object]
Relations between settings ,[object Object],[object Object],[object Object]
More Settings ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Related work ,[object Object],[object Object],[object Object],[object Object],[object Object]

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Controllability: A Soundness Criterion for Services

  • 1. Controllability: A soundness criterion for services Karsten Wolf Universität Rostock, Germany
  • 2. Service Workflow Workflow net   + Interface = Service open Workflow net  
  • 3. Wellformedness Workflow nets: Soundness - always possible to reach end state - every transition reachable open Workflow nets: There exist partner(s) such that - always possible to reach end state (Controllability) - every transition reachable (Transition covering) strategy, covering strategy
  • 4. Setting I: Centralized strategy - A single partner connected to all interface places such that ...   ?
  • 5. Setting II: Decentralized Strategy …with respect to given partition into ports - A family of one partner per port such that.... ? ?  
  • 6.
  • 7. Deciding centralized controllability Step 1: upper approximation of partner behaviour (  ,-) € C T B      oWFN can move partner can move both can move end state deadlock !€ !C !T (  ,C) (  ,€) , (  ,-) (  ,T) !T !€ (  ,CT) (  ,C€),(  ,C),(  ,-) , (  ,B) !€ ?B !T !C !T !C !€ ?B !C (  ,T€),(  ,T),(  ,-) , (  ,B) (  ,-) (  ,C€T),(  ,CT),(  ,T),(  ,C), (  ,T) (  ,C)
  • 8. Deciding centralized controllability Step 2: remove bad states (  ,-) !T !€ (  ,CT) (  ,C€),(  ,C),(  ,-) , (  ,B) ?B !C !T !C !€ ?B (  ,T€),(  ,T),(  ,-) , (  ,B) (  ,-) € C T B      oWFN can move partner can move both can move end state deadlock !€ !C !T (  ,C) (  ,€) , (  ,-) (  ,T) !€ !T !C (  ,C€T),(  ,CT),(  ,T),(  ,C), (  ,T) (  ,C)
  • 9. Deciding centralized controllability Step 3: iterate (  ,-) !€ (  ,C€),(  ,C),(  ,-) , (  ,B) ?B !C !T !€ ?B (  ,T€),(  ,T),(  ,-) , (  ,B) (  ,-) € C T B      oWFN can move partner can move both can move end state deadlock !€ !C !T (  ,C) (  ,€) , (  ,-) (  ,T) !T (  ,CT) !C
  • 10. Deciding centralized controllability Step 4: (optional): construct oWFN (  ,-) !€ (  ,C€),(  ,C),(  ,-) , (  ,B) ?B !C !T !€ ?B (  ,T€),(  ,T),(  ,-) , (  ,B) (  ,-) € C T B      !€ !C !T (  ,C) (  ,€) , (  ,-) (  ,T) € C T B
  • 11.
  • 12. Decentralized controllability traced back to centralized case: C 1 ... C n  C 1 || ... || C n Approach: as centralized case, but remove - bad states - states where actions belonging to different parties are not commutative Algorithm is nondeterministic
  • 13. Example a b   !b !a !a 1. !b 2.
  • 14.
  • 15. Autonomous controllability a b  ? not autonomously controllable
  • 16.
  • 17.
  • 18.
  • 19.
  • 20.
  • 21.

Editor's Notes

  1. Punkte + Sprechblase, animieren
  2. Punkte + Sprechblase, animieren
  3. Punkte + Sprechblase, animieren
  4. Punkte + Sprechblase, animieren