Ex Parte Brueckner et al - Page 5



             Appeal 2007-1200                                                                                   
             Application 09/900,251                                                                             
                   3. Pumps deposit pheromones on a hexagonal grid and walkers sense those                      
                       pheromones to indirectly determine the locations of the pumps:                           
                          The present invention details a pheromone-based                                       
                          coordination mechanism of agents on a hexagonal grid.                                 
                          Agents of two species live in places on the grid: pumps                               
                          and walkers. Pumps regularly deposit pheromones at                                    
                          their current place. Potentially, they are able to move                               
                          independently over the grid, but in this paper, we                                    
                          consider static pumps only. The walkers seek to occupy                                
                          the same places as the pumps, but do not perceive them                                
                          directly or know the purpose of their movements.                                      
                          Walkers are only permitted to sample pheromone                                        
                          concentrations at their current place and their immediate                             
                          neighbors.  They may not even communicate directly                                    
                          among themselves.                                                                     
                       (Specification 7:12-19).                                                                 
                   4. “A pheromone system embodies two sets of dynamics: those of the                           
                       pheromones themselves, and those of the walkers, which move in                           
                       response to the pheromones.”  (Specification 7:21-22).                                   
                   5. The walker chooses its next place to move by first sampling the                           
                       concentration of pheromones at its location and adjacent locations.  “At a               
                       relocation moment t and located at an arbitrary place p, a walker selects                
                       its next location probabilistically from the set (C(p)) of currently                     
                       available options.” (Specification 9:7-9).  The Specification discloses the              
                       mathematical relationships of the selection process, which are driven in                 
                       part by the concentration of pheromones and the relative attraction of the               
                       respective locations from which the walker can choose (See, e.g.                         
                       Specification 9:14-24).  Flow charts displaying the logic for a variety of               
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