Figure 1:
Figure 2:
Figure 3:
Analysis of duration-Cost impact on task combinations
| Impact scope | Integrated duration-Cost impact | ||||||
|---|---|---|---|---|---|---|---|
| Duration variation | Task | Cost | CSI | Sensitivity level (CSI) | SSI [%] | Sensitivity level (SSI) | |
| 10% Change (21d) (N=3) | 223 | CEH | 336000 | 0.72 | High | 1.61 | Low |
| EGF | 430500 | 0.78 | High | 0.51 | Low | ||
| 226 | CHI | 262500 | 0.46 | High | 1.89 | Low | |
| BGF | 399000 | 0.76 | High | 0.65 | Low | ||
| 231 | DHI | 210000 | 0.83 | High | 2.45 | Medium | |
| AGF | 388500 | 1.39 | High | 0.82 | Low | ||
| 244 | EHM | 220500 | 0.16 | Low | 3.85 | Medium | |
| AEF | 378000 | 0.29 | Medium | 1.38 | Low | ||
| 247 | HIM | 147000 | 0.1 | Low | 4.03 | Medium | |
| BFJ | 357000 | 0.28 | Medium | 1.38 | Low | ||
| 252 | DHM | 168000 | 0.37 | Medium | 4.52 | Medium | |
| ADG | 325500 | 0.62 | High | 8 | High | ||
| 268 | ILM | 126000 | 0.1 | Low | 13.15 | High | |
| ABJ | 304500 | 0.17 | Low | 9.18 | High | ||
| 273 | DLM | 147000 | 0.21 | Low | 13.95 | High | |
| ADL | 220500 | 0.27 | Medium | 16.67 | High | ||
Comparative analysis between the traditional CPM and the improved model based on combinatorial thinking
| Comparison dimension | Traditional critical path method (CPM) | Improved model (Combinatorial thinking) |
|---|---|---|
| Analysis unit | Single task, single path | Multi-task combinations |
| Disturbance handling | No support for disturbance simulation | Simulates various combinations and disturbance scenarios |
| Resource & cost evaluation | Considers only time-related factors | Evaluates both schedule and cost sensitivity |
| Schedule adaptability under disruptions | Passive adjustment with manual intervention | Proactive optimization via early identification of high-sensitivity combinations |
Data-driven classification criteria for cost sensitivity index (CSI)
| CSI Range | Interpretation | Sensitivity level |
|---|---|---|
| CSI ≤0.222 | Minimal impact on cost under disturbance | Low |
| 0. 222 < CSI < 0. 442 | Moderate cost sensitivity | Medium |
| CSI ≥0.442 | Significant cost variation; requires intervention | High |
Process details_
| Cost per unit time [CNY/day] | Duration | Activity | Process |
|---|---|---|---|
| 4500 | 30 | A | Construction preparation |
| 4000 | 100 | B | Pavement |
| 6500 | 30 | C | Prefabricated beam |
| 6500 | 28 | D | South bridge platform Foundation South bridge platform Foundation |
| 5000 | 40 | E | North bridge pier foundation |
| 7000 | 2 | F | Transport beam |
| 7000 | 20 | G | South bridge terrace |
| 3000 | 8 | H | Backfill soil of the southern bridge platform |
| 3000 | 30 | I | North bridge platform |
| 5000 | 10 | J | Backfill soil of the northern bridge platform |
| 4000 | 15 | K | Bridge erection |
| 2000 | 60 | L | Road surface |
| 1000 | 20 | M | Completion of work |
Analysis of the duration impact on task combinations
| Impact scope | Duration impact | ||||
|---|---|---|---|---|---|
| Task | Duration variation | Schedule sensitivity index [%] | Sensitivity level | ||
| Multiple tasks (N=4) | 10% Change (21d) | (CEGF) | 223 | 0.48 | Low |
| (BCGJ) | 226 | 1.88 | Medium | ||
| (HIJK) | 289 | 5.51 | Medium | ||
| (ADLM) | 294 | 14.04 | High | ||
| 20% Change (42d) | (CBGF) | 247 | 0.71 | Low | |
| (DBGF) | 252 | 0.8 | Low | ||
| (BIJK) | 373 | 8.8 | High | ||
| (ADLM) | 378 | 14.04 | High | ||
Classification Criteria for Schedule Sensitivity Index (SSI)
| SSI (%) Range | Interpretation | Sensitivity level |
|---|---|---|
| SSI ≤2.30 | Limited impact on total schedule | Low |
| 2.30 < SSI <6.10 | Impact proportional to task delay | Medium |
| SSI ≥6.10 | Disproportionately large impact on project duration | High |