The Covering Salesman Problem (CSP) is a generalization of the Traveling in which tour not required to visit all vertices, as long vertices are covered by tour. objective CSP find minimum length Hamiltonian cycle over subset that covers an undirected graph. In this paper, valid inequalities from generalized traveling salesman problem applied addition new explore distinct aspects problem. A bran...

In this work, we present a path-planning method for the Mobile Data Collector (MDC) in a wireless sensor network (WSN). In our method, a tour for the MDC is generated such that the latency of delivering data to the sink is reduced. We show that the TSP tour covers all the nodes of the WSN. However, the latency for the TSP tour may be prohibitively high for delay-sensitive real-time WSNs. We red...

Paper here defines the Travelling Sales Man Problem(TSP) as a problem where Salesman desires to tour around a specified set of cities, and return to the starting city, covering the least total distance. TSP is a NP-hard problem for reducing their complexity we use the different type of techniques. TSP can be solved by multiple techniques such as Parallel search-and-learn technique, Hybrid Metho...

We present a new approach to automatic test pattern generation for very large scale integrated sequential circuit testing. This approach is more eecient than past test generation methods, since it exploits knowledge of potential circuit defects. Our method motivates a new combinatorial optimization problem, the Tour Covering Problem. We develop heuristics to solve this optimization problem, the...

In his recent, light-hearted article “The Grand Tour”, New Yorker journalist Evan Osnos writes of his time with a Chinese tour group in Europe [12]. Osnos describes a group of thirty eight closelychaperoned tourists undertaking a breakneck bus tour, covering five countries in ten days. He argues that Chinese tourists have formed a distinctively Chinese “grand tour” of Europe. This tour includes...

In this paper we study a particular aspect of the urban community policing: routine patrol route planning. We seek routes that guarantee visibility, as this has a sizable impact on the community perceived safety, allowing quick emergency responses and providing surveillance of selected sites (e.g., hospitals, schools). The planning is restricted to the availability of vehicles and strives to ac...

Abstract One of the basic assumptions in hub covering problems is considering the covering radius as an exogenous parameter which cannot be controlled by the decision maker. Practically and in many real world cases with a negligible increase in costs, to increase the covering radii, it is possible to save the costs of establishing additional hub nodes. Change in problem parameters during the pl...