The data set labelled "Data underlying the publication: Optimal Design of Series of Pipes in Sewer Systems Including Pumping Stations for Flat Terrains" Contains the complete designs of the series of pipes used as case studies in the publication. The information of each design includes the input parameters, the cost of the series, and the hydraulic features of the pipes and pumping stations.

The designs are obtained with a shortest path algorithm that aims to find the minimum-cost design. To do so, the hydraulic design problem is modelled as a directed graph where the nodes are the combination of diameters and excavation depths, and the arcs are the feasible pipes and pumping stations.

The following is the information contained in the dataset, with their respective units of measurement. The parameters whose names may not be very clear include a short definition:

*Input parameters: 
	- Length [m]: Is the length of one pipe. It was assumed that all pipes in a series 	  have the same length.
	- Flow rate [m^3/s]: Is the inflow per manhole. It was assumed that the inflow per 	  manhole was the same in all the manholes of the series.
	- Roughness [m]: Is the roughness corresponding to the pipe material.

* Cost [USD]: is the total cost of the series, including the cost of pipes and pumping stations.

*Hydraulic features of pipes:
	- Upstream manhole.
	- Downstream manhole.
	- Upstream elevation [m]: is the invert elevation of the upstream part of the pipe.
	- Downstream elevation [m]: is the invert elevation of the downstream part of the 	  pipe.
	- Cost [USD]: is the cost of the pipe.
	- Length [m]: 
	- Diameter [m].
	- Flow rate [m^3/s].
	- Speed [m/s].
	- Slope [-].
	- Filling ratio [-].
	- Yn [m]: is the depth of the water in the pipe.
	- Theta [rad].
	- Radius [m]: is the hydraulic radius.
	- Area [m^2]: is the cross sectional area of the flow.
	- Froude [-].
	- Tao [Pa]: is the shear stress.

*Hydraulic features of pumping stations:
	- Upstream manhole.
	- Downstream manhole: is always the same as the upstream manhole in the case of 	  pumping stations.
	- Upstream elevation [m]: is the invert elevation of the entering pipe.
	- Downstream elevation [m]: is the invert elevation of the exiting pipe.
	- Cost [USD]: is the cost of the pumping station.
	- Power [kW].
	- Pumping height [m].
	- Pumping flow rate [m^3/s].
 





