examples directory contains two water network optimization instances that have been developed or modified from two literature instances.
The first is the famous "two-loop" water network design instance. (It is sometimes titled after one of its authors as
shamir.) This design instance dates back to 1977, first appearing in . The globally optimal design cost is known to be $419,000. Solutions of this instance using various formulation types and assumptions appeared in the Quick Start Guide. As an example, it can be solved using a linear relaxation-based formulation (
LRDWaterModel) via the following:
using WaterModels import HiGHS data = parse_file("examples/data/json/shamir.json") set_flow_partitions_si!(data, 0.5, 1.0e-4) result = solve_des(data, LRDWaterModel, HiGHS.Optimizer)
The second is a modified version of the popular
van_zyl optimal water flow instance, which first appeared in  and is also named after one of that article's authors. Unlike the design problem, this problem has temporal aspects. It can be constructed and solved (e.g., using the
LRDWaterModel formulation) using the following:
using WaterModels import HiGHS import JuMP data = parse_file("examples/data/epanet/van_zyl.inp") data_mn = WaterModels.make_multinetwork(data) set_flow_partitions_si!(data_mn, 1.0, 1.0e-4) highs = JuMP.optimizer_with_attributes(HiGHS.Optimizer, "time_limit" => 60.0) result = solve_mn_owf(data_mn, LRDWaterModel, highs)
The instance is challenging, and only a feasible solution is returned within the time limit for the script above. Also note that results are presented in an automatically-applied per-unit system. To convert the solution to SI units, the following can be executed:
 Alperovits, E., & Shamir, U. (1977). Design of optimal water distribution systems. Water Resources Research, 13(6), 885-900.
 Van Zyl, J. E., Savic, D. A., & Walters, G. A. (2004). Operational optimization of water distribution systems using a hybrid genetic algorithm. Journal of Water Resources Planning and Management, 130(2), 160-170.