1. Project Management History and concepts Critical Path Method (CPM) Original CPM and Modern CPM Valerio Salomon, 20161

2. History Valerio Salomon, 20162 Egyptian pyramids and sphynx Bible (Noah, Solomon, et al.) Roman Empire Da Vinci, Descartes Gantt, CPM, PERT Microsoft, Primavera IPMA, PMI

3. Concepts for project Valerio Salomon, 20163 Design: development and specification of a new product or service Project: sequence of activities or tasks Project: investment alternatives

4. Gantt chart Valerio Salomon, 20164

5. History of CPM Valerio Salomon, 20165 1956: James E. Kelley, Jr. (Du Pont), John W. Mauchly (EMCC), Morgan Walker (Remington) 1957: building a $10M industrial plant 1958: industrial maintenance, reducing MTTR from 125h to 74h 1959: Eastern Joint IRE-AIEE-ACM ConferenceEastern Joint IRE-AIEE-ACM Conference 1961: Operations ResearchOperations Research

6. CPM concepts Valerio Salomon, 20166 Project ≈ network = ∑(events + tasks) Starting event Ending Event Task Change tires Lift down car Assemble spare tire Lift up car Remove spare tire Unfasten nuts

7. Network logics Valerio Salomon, 20167 B C D A B C D A B C D A

8. Dates and slacks Valerio Salomon, 20168 i t 1 t 2 j t 3 t 4 task name duration Data: t 1 (starting earlier date) t 4 (ending later date) Computed: t 3 (ending earlier date) = t 1 + duration t 2 (starting later date) = t 4 – duration Total slack = Slack = t 4 – t 1 – duration Free slack = t 3 – t 1 – duration

9. Project programming with CPM Valerio Salomon, 20169 IDTask namePredecessorDuration [week] 1A–2 2B13 3C21 4D12 5E44 12345678 AA BB CC DD EE 12345678

10. Original CPM (data input) Valerio Salomon, 201610 A2A2 1 2 3 4 2

11. Original CPM (solution) Valerio Salomon, 201611 A2A2 1 0 0 2 2 2 3 5 7 4 4 4 2 8 8

12. Modern CPM (data input) Valerio Salomon, 201612 A 2 B 3 D 2 C 1 E 4

13. Modern CPM (solution) Valerio Salomon, 201613 0 A2 022 2 B5 437 2 D4 224 5 C6 718 4 E8 448