IDE-style treadle pump material minimization problem#

A citation-backed nonlinear optimization benchmark that fixes a low-flow Zone I IDE-style treadle-pump operating point and minimizes a reduced material-volume proxy.

See Optimization Problem Catalog for the optimization family index.

Quick Facts#

Field	Value
Problem ID	`treadle_pump_ide_material_min`
Problem Family	optimization
Implementation	`design_research_problems.problems.optimization._ide_treadle:IDETreadlePumpMaterialMin`
Capabilities	`baseline-solver`, `bounded-variables`, `citation-backed`, `equality-constraint`, `statement-markdown`
Study Suitability	none
Tags	`optimization`, `continuous`, `nonlinear`, `hydraulic`, `scalarized`, `treadle-pump`

Taxonomy#

Formulation: nonlinear_program
Convexity: not_guaranteed
Design Variable Type: continuous
Is Dynamic: no
Orientation: engineering-practical
Feasibility Ratio Hint: 0.2
Objective Mode: single
Constraint Nature: hard
Bounds Summary: four continuous variables with fixed low-flow Zone I targets and an analytic two-variable baseline reconstruction
Tags: optimization, continuous, nonlinear, hydraulic, scalarized, treadle-pump

Statement#

This packaged optimization problem is a scalarized, citation-backed surrogate derived from the published IDE-style treadle pump studies. It fixes a low-flow Zone I operating point at 2.5 L/s and 1.9 m suction lift, then minimizes a reduced material-volume proxy for the pump.

To fit the current single-objective API cleanly, the packaged instance uses four continuous design variables: cylinder radius, hose radius, treadle length, and stepping cadence. The built-in baseline solver searches over the two primary geometric variables and analytically reconstructs the hose radius and cadence needed to satisfy the flow and lift equalities at each candidate.

Problem Shape#

Field	Value
Design Variable Count	4
Bound Summary	four continuous variables with fixed low-flow Zone I targets and an analytic two-variable baseline reconstruction
Total Constraint Count	5
Equality Constraint Count	2
Inequality Constraint Count	3

Variable Bounds#

Variable	Lower Bound	Upper Bound
`x[0]`	0.018	0.035
`x[1]`	0.01	0.028
`x[2]`	1.2	2.2
`x[3]`	0.6	2

Manifest Parameters#

Key	Value
target_flow_rate_lps	2.5
target_lift_height_m	1.9

Library Interface#

generate_initial_solution(seed=None)
objective(x)
evaluate(x)
solve(initial_solution=None, seed=None, maxiter=200)

Sources#

Key	Summary
`santaeufemia2014treadle`	Santaeufemia et al. (2014).
`mccomb2016idetreadle`	McComb et al. (2016).

Raw Citation Records#

Santaeufemia, P. S., Johnson, N. G., McComb, C., and Shimada, K. (2014). Improving irrigation in remote areas: multi-objective optimization of a treadle pump. Proceedings of the ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC2014-35463.

McComb, C., Johnson, N. G., and Gorman, B. T. (2016). Scenario-based robustness analysis of optimized I.D.E.-style treadle pump designs. Proceedings of the ASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC2016-60127.