The Team Orienteering Problem: Formulations and Branch-Cut and Price
نویسندگان
چکیده
The Team Orienteering Problem is a routing problem on a graph with durations associated to the arcs and profits assigned to visiting the vertices. A fixed number of identical vehicles, with a limited total duration for their routes, is given. The total profit gathered by all routes is to be maximized. We devise an extended formulation where edges are indexed by the time they are placed in the route. A new class of inequalities, min cut, and the triangle clique cuts of Pessoa et. al., 2007 are added. The resulting formulation is solved by column generation. Branching is done following the work of Boussier et al. 2007, to which the branch-cut-and-price algorithm here proposed is compared. A few new upper bounds were obtained. Overall the presented approach has shown to be very competitive. 1998 ACM Subject Classification G.1.6 Optimization, Integer Programming
منابع مشابه
A Branch-and-Cut Algorithm for Solving the Team Orienteering Problem
This paper describes a branch-and-cut algorithm to solve the Team Orienteering Problem (TOP). TOP is a variant of the Vehicle Routing Problem (VRP) in which the aim is to maximize the total amount of collected profits from visiting customers while not exceeding the predefined travel time limit of each vehicle. In contrast to the exact solving methods in the literature, our algorithm is based on...
متن کاملThe Team Orienteering Arc Routing Problem
The Team Orienteering Arc Routing Problem (TOARP) is the extension to the arc routing setting of the Team Orienteering Problem (TOP). In the TOARP a set of potential customers, each associated with an arc of a directed graph, is available and a profit is collected when a potential customer is served that is when the associated arc is traversed. A fleet of vehicles is available to visit the cust...
متن کاملBranch-cut-price algorithms for solving a class of search problems on general graphs
We consider graph search problems involving an intruder and mobile searchers. The graph consists of nodes on which the intruder and searchers may be located, and edges on which these entities travel. Associated with each node is a set of nodes that are visible from that node. The goal is to find the minimum number of searchers needed to detect the intruder within a given time limit. We investig...
متن کاملThe split delivery capacitated team orienteering problem
In this paper we study the capacitated team orienteering problem where split deliveries are allowed. A set of potential customers is given, each associated with a demand and a profit. The set of customers to be served by a fleet of capacitated vehicles has to be identified in such a way that the profit collected is maximized, while satisfying constraints on the maximum time duration of each rou...
متن کاملGotta (efficiently) catch them all: Pokémon GO meets Orienteering Problems
In this paper a new routing problem referred to as the Generalized Clustered Orienteering Problem (GCOP) is studied. The problem is motivated by the mobile phone game Pokémon GO, an augmented reality game for mobile devices holding a record-breaking reception: within the first month of its release, more than 100 million users have installed the game on their device. The game’s immense popularit...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2010