Competing design projects worker-hours allocation (value-tracking minimization)#
A citation-backed daily worker-allocation benchmark that packages the explicit 2015 competing-projects case as a compact value-tracking optimization problem.
See Optimization Problem Catalog for the optimization family index.
Quick Facts#
Field |
Value |
|---|---|
Problem ID |
|
Problem Family |
optimization |
Implementation |
|
Capabilities |
|
Study Suitability |
none |
Tags |
|
Taxonomy#
- Formulation
nonlinear_program
- Convexity
not_guaranteed
- Design Variable Type
continuous
- Is Dynamic
yes
- Orientation
engineering-practical
- Feasibility Ratio Hint
0.4
- Objective Mode
single
- Constraint Nature
hard
- Bounds Summary
one bounded nonnegative daily hour-allocation variable for each day, worker, and project task in the compact 60-day seed
- Tags
optimization,continuous,resource-allocation,scheduling,predictive-control,citation-backed
Statement#
This packaged optimization problem is a compact, citation-backed seed derived from Freiheit’s 2015 competing-projects personnel-allocation study. The paper frames the allocation as a predictive-control problem. This in-package benchmark keeps the published 60-day horizon, project tables, worker availability matrix, worker capability discounts, and cycloidal value-growth model, then packages them as a fully specified daily hour-allocation problem.
Each continuous design variable gives the hours assigned from one worker to one project or project phase on one day. The packaged objective minimizes the squared deviation between achieved and target value growth over the planning horizon, with lightweight penalties for abrupt assignment changes and hours spent on inactive or already-complete work. The built-in baseline solver uses a deterministic greedy planner that chases the published value-growth targets.
Problem Shape#
Field |
Value |
|---|---|
Design Variable Count |
2400 |
Bound Summary |
one bounded nonnegative daily hour-allocation variable for each day, worker, and project task in the compact 60-day seed |
Total Constraint Count |
300 |
Equality Constraint Count |
0 |
Inequality Constraint Count |
300 |
Variable Bounds#
Variable |
Lower Bound |
Upper Bound |
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1 |
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1 |
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1 |
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0 |
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3 |
|
0 |
0 |
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0 |
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|
0 |
0 |
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0 |
0 |
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0 |
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0 |
0 |
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2 |
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0 |
1 |
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0 |
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0 |
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1 |
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0 |
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1 |
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0 |
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0 |
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0 |
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1 |
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0 |
1 |
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1 |
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0 |
|
0 |
5 |
Manifest Parameters#
Key |
Value |
|---|---|
change_penalty_weight |
0.015 |
horizon_days |
60 |
inactive_hours_penalty |
0.25 |
Library Interface#
generate_initial_solution(seed=None)objective(x)evaluate(x)solve(initial_solution=None, seed=None, maxiter=200)
Sources#
Key |
Summary |
|---|---|
|
Freiheit (2015). |
Raw Citation Records#
Freiheit, T. (2015). Optimal Allocation of Worker Hours to Competing Design Projects to Meet Value Growth Targets. Proceedings of the ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC2015-47818.