Time-Cost-Quality Tradeoff Modeling based on Resource Allocation

Assign a construction team to excavate earth, to erect formwork, to mix concrete, or to do other jobs; their working quality will decline if they intend to increase productivity, and an approximate linear relationship between labor productivity and labor quality is observed here. A more complex relationship function between labor productivity and labor quality is also considered in later case study:

\(\mathrm{LPRD}_{(i)}=\mathrm{LPRD}_{i}^{\max }-\mathrm{LQK}_{i} \times\left(\mathrm{LQ}_{(i)}-\mathrm{LQ}_{i}^{\min }\right),\)           (1)

where \(L Q_{(i)}=\) actual quality level of construction labor \((i)\) working in activity \((i)\), \(\mathrm{LQ}_{(i)} \in\left(\mathrm{LQ}_{i}^{\min }, \mathrm{LQ}_{i}^{\max }\right) ; \mathrm{LQ}_{i}^{\max }=\) maximum quality level of construction labor \((i)\) working in activity \((i) ; \quad \mathrm{LQK}_{i}=\left(\mathrm{LPRD}_{i}^{\max }-\mathrm{LPRD}_{i}^{\min }\right) /\left(\mathrm{LQ}_{i}^{\max }-\mathrm{LQ}_{i}^{\min }\right)\); LPRD \(_{i}^{\min }=\) minimum productivity level of construction labor \((i)\) working in activity (i); LPRD \(_{i}^{\max }=\) maximum productivity level of construction labor (i) working in activity \((i)\); LPRD \(_{(i)}=\) actual productivity level of construction labor \((i)\) working in activity \((i), \operatorname{LPRD}_{(i)} \in\left(\operatorname{LPRD}_{i}^{\min }, \operatorname{LPRD}_{i}^{\max }\right)\).