Capacitated Planned Maintenance, 1st ed. 2017 Models, Optimization Algorithms, Combinatorial and Polyhedral Properties Lecture Notes in Economics and Mathematical Systems Series, Vol. 686

This book examines the problem of maintenance planning and scheduling in industrial production systems. It presents two practically relevant, deterministic mathematical models: the capacitated planned maintenance problem (CPMP) and the weighted uncapacitated planned maintenance problem (WUPMP). It introduces specific optimization algorithms such as construction heuristics, Lagrangean and tabu search metaheuristics. A problem independent hybrid approach links and alternates between two Lagrangean relaxations. It also analyzes the solvability with respect to the computational complexity of several problem classes, polyhedral properties and lower bounds. Computational studies demonstrate the performance of the heuristics, lower bounds, subgradients obtained from heuristics and the quality of dual information. This unique book includes implementation details and an introduction to the necessary theory making it suitable for upper undergraduate students.

Introduction.- The Capacitated Planned Maintenance Problem.- Known concepts and solution techniques.- The Weighted Uncapacitated Planned Maintenance Problem.- Analyzing the solvability of the Capacitated Planned Maintenance Problem.- Algorithms for the Capacitated Planned Maintenance Problem.-

Torben Kuschel's academic passion is Operations Research and Operations Management since 2004. He is a researcher at the University of Wuppertal, Germany. 

Presents practically relevant, deterministic optimization models and novel algorithms for planned maintenance Analyzes the computational complexity of several problem classes, polyhedral properties and lower bounds Includes implementation details and an introduction to the necessary theory