2026-04-17T03:28:46Zhttps://recercat.cat/oai/request

oai:recercat.cat:2117/1269072026-02-09T07:05:41Zcom_2072_1033col_2072_452950

00925njm 22002777a 4500 dc Fernández Aréizaga, Elena author Laporte, Gilbert author Rodríguez Pereira, Jessica author 2018-03 This paper considers the Multidepot Rural Postman Problem, an extension of the classical Rural Postman Problem in which there are several depots instead of only one. The aim is to construct a minimum cost set of routes traversing each required edge of the graph, where each route starts and ends at the same depot. The paper makes the following scientific contributions: (i) It presents optimality conditions and a worst case analysis for the problem; (ii) It proposes a compact integer linear programming formulation containing only binary variables, as well as a polyhedral analysis; (iii) It develops a branch-and-cut algorithm that includes several new exact and heuristic separation procedures. Instances involving up to four depots, 744 vertices, and 1,315 edges are solved to optimality. These instances contain up to 140 required components and 1,000 required edges. Peer Reviewed Postprint (author's final draft) Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències Numerical analysis Programming (Mathematics) arc routing worst-case analysis branch-and-cut multi-depot rural postman problem polyhedral analysis Anàlisi numèrica Programació (Matemàtica) Classificació AMS::65 Numerical analysis::65K Mathematical programming, optimization and variational techniques Classificació AMS::90 Operations research, mathematical programming::90C Mathematical programming A branch-and-cut algorithm for the multidepot rural postman problem