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Linear Planning in Problem Solving: A Strategic Approach

Linear planning involves sequential operations to achieve goals efficiently. Learn how to convert complex problems into linear plans and address anomalies effectively. Explore the concept of STRIPS and the significance of goal sequences. Dive into strategies for inserting goals to streamline planning processes.

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Linear Planning in Problem Solving: A Strategic Approach

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  1. Linear Planning A plan is linear if it is a sequence of operations for solving the goals in the sequence. A planning problem is linear if there is a goal sequence with a linear plan. A planning problem can often be made linear by inserting well placed goals into the original goal sequence.

  2. STRIPSStanford Research Institute Problem Solver Richard E. Fikes, Nils J. Nilsson: A New(*) Approach to the Application of Theorem Proving to Problem Solving. (*) IJCAI 2, 1971, Edinburgh Also in Allen(Ed): Readings in Planning Morgan Kaufman, 1989

  3. Sussmans Anomaly A C = = = > B B A C There is no decent linear plan for this problem Goal sequence 1: ?-On(A,B), On(B,C) => move(C,A,Floor),move(A,Floor,B), {On(A,B)} move(A,B,Floor),move(B,Floor,C) {On(B,C)} [,move(A,Floor,B)] • Goal sequence 2 ?- On(B,C), On(A,B) • move(B,Floor,C), {On(B,C)} move(B,C,Fl),move(C,A,Floor),move(A,Floor,B) {On(A,B)} […..]

  4. Sussmans Anomaly(inserted goal) A C = = = > B A B C Made linear by insertion of goal Goal sequence 1: ?-On(C,Fl), On(B,C), On(A,B) => move(C,A,Fl), {On(C,Fl)} move(B,Fl,C), {On(B,C} move(A,Fl,B) {On(A,B)}

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