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MoneyMaker Hip Pump cost minimization problem
=============================================

A citation-backed nonlinear optimization benchmark that fixes a target flow and tank head, then minimizes projected pump cost using a scalarized form of the MoneyMaker Hip Pump studies.

See :doc:`../optimization` for the optimization family index.

Quick Facts
-----------

.. list-table::
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   * - Field
     - Value
   * - Problem ID
     - ``moneymaker_hip_pump_cost_min``
   * - Problem Family
     - optimization
   * - Implementation
     - ``design_research_problems.problems.optimization._moneymaker:MoneyMakerHipPumpProblem``
   * - Capabilities
     - ``baseline-solver``, ``bounded-variables``, ``citation-backed``, ``equality-constraint``, ``statement-markdown``
   * - Study Suitability
     - none
   * - Tags
     - ``optimization``, ``continuous``, ``nonlinear``, ``hydraulic``, ``scalarized``, ``moneymaker``

Taxonomy
--------

Formulation
   nonlinear_program
Convexity
   not_guaranteed
Design Variable Type
   continuous
Is Dynamic
   no
Orientation
   engineering-practical
Feasibility Ratio Hint
   0.1
Objective Mode
   single
Constraint Nature
   hard
Bounds Summary
   10 reduced continuous variables with fixed 3 m delivery head and reconstructed geometry relationships
Tags
   ``optimization``, ``continuous``, ``nonlinear``, ``hydraulic``, ``scalarized``, ``moneymaker``

Statement
---------

This packaged optimization problem is a scalarized subproblem derived from the published multi-objective MoneyMaker Hip Pump studies. It uses the epsilon-constraint pattern from the papers: the delivery head is fixed at 3 m, the target flow rate is fixed at 0.18 L/s, and the scalar objective is the projected pump cost.

To fit the current single-objective API cleanly, the packaged instance reduces the original 16 design variables to 10 independent continuous variables. The remaining geometric relationships and fixed deployment assumptions are reconstructed internally from the cited formulation. Bounds are centered on the published tall-tank designs so the packaged benchmark stays well-conditioned without changing the shared optimization base classes.

Problem Shape
-------------

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   * - Field
     - Value
   * - Design Variable Count
     - 10
   * - Bound Summary
     - 10 reduced continuous variables with fixed 3 m delivery head and reconstructed geometry relationships
   * - Total Constraint Count
     - 10
   * - Equality Constraint Count
     - 3
   * - Inequality Constraint Count
     - 7

Variable Bounds
---------------

.. list-table::
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   :widths: 25 37 38

   * - Variable
     - Lower Bound
     - Upper Bound
   * - ``x[0]``
     - 0.014
     - 0.028
   * - ``x[1]``
     - 0.038
     - 0.05
   * - ``x[2]``
     - 0.5
     - 0.7
   * - ``x[3]``
     - 0
     - 18
   * - ``x[4]``
     - 0.5
     - 0.75
   * - ``x[5]``
     - 0.014
     - 0.024
   * - ``x[6]``
     - 40
     - 150
   * - ``x[7]``
     - 110
     - 140
   * - ``x[8]``
     - 0.15
     - 0.6
   * - ``x[9]``
     - 0.2
     - 0.3

Manifest Parameters
-------------------

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   * - Key
     - Value
   * - horizontal_run_m
     - 18
   * - target_flow_rate_lps
     - 0.18
   * - target_tank_height_m
     - 3
   * - well_depth_m
     - 7

Library Interface
-----------------

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

Sources
-------

.. list-table::
   :header-rows: 1
   :widths: 20 80

   * - Key
     - Summary
   * - ``mccomb2018moneymaker``
     - McComb et al. (2018).
   * - ``mccomb2014moneymaker``
     - McComb et al. (2014).

Raw Citation Records
--------------------

.. code-block:: text

   McComb, C., Johnson, N. G., Santaeufemia, P. S., Gorman, B. T., Kolste, B., Mobley, A., and Shimada, K. (2018). Multi-objective optimization and scenario-based robustness analysis of the MoneyMaker Hip Pump. Development Engineering, 3, 23-33.

.. code-block:: text

   McComb, C., Santaeufemia, P. S., Johnson, N. G., and Shimada, K. (2014). Identifying technical and economic improvements to the MoneyMaker Hip Pump through multi-objective optimization. IEEE Global Humanitarian Technology Conference.