Time-Cost-Quality Tradeoff Modeling based on Resource Allocation

Since a construction project comprises various resources such as materials, machines, method, labors, and even management, the overall quality $Q$ of a construction project is calculated by each activity's quality $\mathrm{AQP}_{(i)}$ and its quality weight $\mathrm{WT}_{i}$ :

$\mathrm{Q}=\sum\limits_{i=1}^{n}\left(\mathrm{WT}_{i} \times \mathrm{AQP}_{(i)}\right),$ (11)

where $Q=$ the general quality of a construction project $; n=$ number of activities in a construction project; $\mathrm{WT}_{i}=$ quality weight indicator of each construction activity $(i)$, and $\sum_{i=1}^{n} \mathrm{WT}_{i}=1.0 ; \mathrm{AQP}_{(i)}=$ quality performance of construction activity (i) calculated by its labor quality, material quality, construction equipment quality, and administration $\mathrm{AQP}_{(0)}=\mathrm{LWT}_{i} \times \mathrm{LQ}_{(i)}+\mathrm{MWT}_{i} \times \mathrm{MQ}_{(i)}+\mathrm{EWT}_{i} \times \mathrm{EQ}_{(i)}+\mathrm{AWT}_{2} \times \mathrm{AQ}_{(i)} ; \mathrm{LWT}_{i}$ $\mathrm{AQP}_{(i)}=\mathrm{LWT}_{i} \times \mathrm{LQ}_{(i)}+\mathrm{MWT}_{i} \times \mathrm{MQ}_{(i)}+\mathrm{EWT}_{i} \times \mathrm{EQ}_{(i)}+\mathrm{AWT}_{i} \times \mathrm{AQ}_{(i)} ; \mathrm{LWT}_{i}$, $\mathrm{MWT}_{i}$, EWT $_{i}, \mathrm{AWT}_{i}=$ weight indicators of construction labor, material, equipment, and administration in activity $(i)$ respectfully; $\mathrm{LQ}_{(i)}, \mathrm{MQ}_{(i)}, \mathrm{EQ}_{(i)}, \mathrm{AQ}_{(i)}=$ quality of construction labor, material, equipment, and administration in activity $(i)$ respectfully.