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.