Dynamic Traveling Repairperson Problem for dynamic systems

— In this paper, we study the Dynamic Traveling Repairman Problem (DTRP) for dynamic systems. In the DTRP, customers are arising dynamically and randomly in a bounded region R, and when customers arrive, they wait for the repairperson to visit their location and offer a “service” -that will take a certain random amount of time s-. In our study, the repairperson is modeled as a dynamic system whose output space contains R and our objective is the average time a customer has to wait to be serviced. We present schemes (for low and high traffic intensities) that guarantee that the expected waiting time for a customer scales within a constant factor of the optimum in terms of traffic intensity.

• Type: Conference
• Year: 2008
• Where: CDC
• Authors: Sleiman Itani, Emilio Frazzoli, Munther A. Dahleh
• Keywords: CDC 2008, Control Systems, Customer, Dynamic System, Dynamic Traveling Repairman