Analytic Study of Two Movement Strategies of Actors in Wireless Sensor and Actor Networks

Autonomous mobile actors are under attention of researchers for having numeral applications. The way of placement and movement of actors in environment is very important for appropriate service of events. Two approaches, named settlement in center and settlement in place are introduced in this paper for evaluating placement location and movement method of actors in environment. Probability mass function of traversed distance for servicing events of environment by an actor for two approaches are mathematically proved step by step. Diagrams of simulations’ results and functions are drawn simultaneously and show that results of both methods completely confirms. Simulations’ results show that average displacement of actor in settlement in center approach in comparison with settlement in place approach is more; instead, average distance of events from center of area is less than average distance from location of previous event. In remaining, service of the events by a mobile actor is presented as a queuing theory problem and required relations for determining average length of waiting queue, average turnaround time, required minimum movement speed of actor and maximum dimension of surveillance area are extracted. At last, proposed approaches are extended by defining regions and assigning an actor for each region. Simulations results show that in place settlement approach, if nearest actor to each event is sent for servicing it, average displacement distance is less than the state that only assigned actor of each region has permission to be sent for servicing.