# Equity in Transportation Asset Management: A Proposed Framework
## Appendix A  
```
1:#Define objective functions
2:function objective_1(pavement_conditions)
3:underserved_condition \(\leftarrow\) average_condition (pavement_conditions, is_underserved=True)
4:other_condition \(\leftarrow\) average_condition (pavement_conditions, is_underserved=False)
5:return!underserved_condition--other_condition! 6:end function
7:function objective_2(treatment_plan)
8:construction_emissions \(\leftarrow\) sum (treatment_construction for treatment in treatment_plan)
9:traffic_emissions \(\leftarrow\) sum (treatment_traffic for treatment in treatment_plan)
10:return construction_emissions + traffic_emissions
11:end function
12:function objective_3(treatment_plan, time_period)
13:total_condition \(\leftarrow\) sum(section.condition_after_treatment(treatment) for section, treatment in zip(pavement_sections, treatment_plan))
14:return total_condition/time_period
15:end function
16:#Define constraints
17:function budget_constraint(treatment_plan)
18:total_cost \(\leftarrow\) sum(treatment_agency_cost for treatment in treatment_plan)
19:return total_cost \(\leq\) available_budget
20:end function
21:function performance_constraint(treatment_plan)
22:for each section, treatment in zip(pavement_sections, treatment_plan) do
23:if section.condition_after_treatment(treatment) < minimum_acceptable_condition then
24:return False
25:endif
26:end for
27:return True
28:end function
29:#Define the multi-objective optimization problem
30:function optimize_pavement_management(pavement_sections, available_budget, time_period)
31:all_treatment_plans \(\leftarrow\) generate_all_treatment_plans(pavement_sections)
32:feasible_plans \(\leftarrow\) []
33:for each plan in all_treatment_plans do
34:if budget_constraint(plan) and performance_constraint(plan) then
35:feasible_plans.append(plan)
36:endif
37:end for
38:objectives \(\leftarrow\) []
39:for each plan in feasible_plans do
40:obj1 \(\leftarrow\) objective_1(plan)
41:obj2 \(\leftarrow\) objective_2(plan)
42:obj3 \(\leftarrow\) objective_3(plan, time_period)
43:objectives.append((obj1, obj2, obj3))
44:end for
45:optimal_plan \(\leftarrow\) select_optimal_plan(objectives)
46:return optimal_plan
47:end function

## References

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