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Planning under Uncertainty in Dynamic Domains - Carnegie Mellon ...

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List of Figures3.1 An operator that can move an object of type Barge from the locationbound to variable to the location bound to variable .Variables have an associated type and can also be constra<strong>in</strong>ed withfunctions. : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : 203.2 Two more operators <strong>in</strong> the example doma<strong>in</strong>. : : : : : : : : : : : : : : 223.3 The type hierarchy for the plann<strong>in</strong>g doma<strong>in</strong>. Objects <strong>in</strong> the exampleplann<strong>in</strong>g problem are shown <strong>in</strong> brackets below their type. : : : : : : : 233.4 A candidate plan for the plann<strong>in</strong>g problem to dispose of the oil. Thevariable names have been ommitted from the <strong>in</strong>stantiated operators.The head plan conta<strong>in</strong>s one step, to move the barge from Richmondto the west coast. : : : : : : : : : : : : : : : : : : : : : : : : : : : : : 233.5 The Move-Barge action from the oil-spill doma<strong>in</strong> used <strong>in</strong> Weaver hasa duration and a probability distribution of possible outcomes. : : : : 293.6 An exogenous event. : : : : : : : : : : : : : : : : : : : : : : : : : : : 303.7 The set of states reachable when the action Move-Barge is executedfrom the <strong>in</strong>itial state shown, when Weather-Brightens is the onlyexogenous event <strong>in</strong> the doma<strong>in</strong> and the action has a duration of onetime unit. The probability of reach<strong>in</strong>g each state is shown along its arc. 313.8 The two possible sequences of states <strong>in</strong> the <strong>under</strong>ly<strong>in</strong>g Markov decisionprocess aris<strong>in</strong>g from execut<strong>in</strong>g the Move-Barge operator <strong>in</strong> the stateshown on the left <strong>in</strong> the absence of exogenous events. : : : : : : : : : 323.9 The possible sequences of states <strong>in</strong> the <strong>under</strong>ly<strong>in</strong>g Markov decisionprocess aris<strong>in</strong>g from execut<strong>in</strong>g the Move-Barge operator <strong>in</strong> the stateshown on the left, when the exogenous event Weather-Brightens canalso take place. Only literals that are changed from a parent state areshown. : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : 333.10 The operators from the simple oil-spill doma<strong>in</strong> used <strong>in</strong> this chapter.When the duration of an operator isn't mentioned, it defaults to 1. : 373.11 The exogenous events from the oil-spill doma<strong>in</strong>. : : : : : : : : : : : : 38xi

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