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Illustration of Multi-criteria/Lexico/Pre-emptive goal programming
for a staffing problem with multiple work patterns available;
Step 1:
- Minimize total cost
Step 2:
- Given total costs minimized from Step 1
- Solve to minimize max staff overage
on any given day, thereby spreading
excess staff through the week
Step 3:
- Fix max overage to it's level from
Step 2
- Solve to minimize the number working
on a Sunday ;

Any Preemptive optimal solution is also Pareto optimal;