Optimal Restoration Strategy Of A Water Pipeline Network In Surigao City, Philippines

• Main Authors: Garciano, Agnes, Garciano, Lessandro Estelito, Tanhueco, Renan Ma., Abubo, Taze Jared
• Format: text
• Published: Archīum Ateneo 2018
• Subjects: water lifeline; seismic event; Horn’s Algorithm; minimal spanning tree; penalty function; Mathematics
• Online Access: https://archium.ateneo.edu/mathematics-faculty-pubs/30; https://www.geomatejournal.com/sites/default/files/articles/25-29-7130-Garciano-Feb-2018.pdf
• Institution: Ateneo De Manila University

Quick recovery of water services immediately after an earthquake is critical. This is to minimize hazards to environmental sanitation and consequent health problems caused by the lack of potable water supply. It is necessary therefore that water lifeline operators establish restoration strategies to deal with damage scenarios in their respective concession areas specifically during extreme seismic events. The recent 6.7 magnitude earthquake in Surigao City due to the movement of the Philippine Fault Zone: Surigao segment underscored this need. However due to the complexity of the network a systematic restoration sequence that minimizes restoration time and maximizes delivery of water service should be employed. In this research, the authors employed Horn’s algorithm to determine the optimal restoration strategy of a pipeline network in Surigao City, Philippines. The repair sequence starts with the determination of a minimal spanning tree of the given pipeline network. The water source is designated as the root of this tree while the nodes represent the water demand at specific areas. The edges of the tree structure representing the pipelines connect the nodes. The assigned numeric value or weight of an edge (link) denotes the time to repair that specific pipeline. This value is a function of the length of the pipeline. The results show that an optimal job sequence may be carried out by considering maximal ratios of expanding family trees within the network. A least penalty function is a consequence of the optimal repair job sequence.