Project Management Project series of related jobs usually directed toward some major output and requiring a significant period of time to perform. Project Management planning, directing, and controlling resources (people, equipment, material) to meet the technical, cost, and time constraints of the project. Project or Program? Irwin/McGraw-Hill Project Management Project Development Management of Projects Work Breakdown Structure Pure Project Structure Gantt Chart Critical Path Scheduling Functional Structure Matrix Structure Network Diagram Single Time Estimate Three Time Estimate Early Start Schedule Find Expected Activity Times Late Start Schedule Find Activity Variance Activity Slack Identify the Critical Path Identify the Critical Path Inferences about duration Time Cost Models Work Breakdown Structure Level 1 Program Project 1 2 Project 2 Task 1.1 Task 1.2 3 Subtask 1.1.1 4 Work Package 1.1.1.1 Irwin/McGraw-Hill Subtask 1.1.2 Work Package 1.1.1.2 Work Breakdown Structure Requirements Elements may be worked on independently Elements are manageable in size Program can be monitored and measured The required resources are provided Irwin/McGraw-Hill Organizational Structure: Pure Project--Advantages The project manager has full authority over the project Team members report to one boss Shortened communication lines Team pride, motivation, and commitment are high Irwin/McGraw-Hill Organizational Structure: Pure Project--Disadvantages Duplication of resources Organizational goals and policies are ignored (also an advantage!) Lack of technology transfer Team members have no functional area "home" Irwin/McGraw-Hill Functional Project President Research and Development Project Project A B Irwin/McGraw-Hill Project C Engineering Project Project A B Project C Manufacturing Project Project A B Project C Organizational Structure: Functional Project--Advantages A team member can work on several projects Technical expertise is maintained within the functional area The functional area is a home after the project is completed Critical mass of specialized knowledge Irwin/McGraw-Hill Organizational Structure: Functional Project--Disadvantages Aspects of the project that are not directly related to the functional area get shortchanged Motivation of team members is often weak Needs of the client are secondary and are responded to slowly Irwin/McGraw-Hill Matrix Project President Research and Development Manager Project A Manager Project B Manager Project C Irwin/McGraw-Hill Engineering Manufacturing Marketing Organizational Structure: Matrix--Advantages Enhanced inter-functional communications Pinpointed responsibility Duplication of resources is minimized Functional home for team members Policies of the parent organization are followed (also a disadvantage!) Irwin/McGraw-Hill Organizational Structure: Matrix--Disadvantages Two bosses Depends on Project Manager’s negotiating skills Less flexibility for “pure project” Potential for sub-optimization Irwin/McGraw-Hill Project Management Management of Projects Project Development Work Breakdown Structure Gannt Chart Critical Path Scheduling Network Diagram Single Time Estimate Early Start Schedule Late Start Schedule Activity Slack Identify the Critical Path Three Time Estimate Network-Planning Models A project is made up of a sequence of activities that form a network representing a project. The path taking longest time through this network of activities is called the “critical path.” The critical path provides a wide range of scheduling information useful in managing a project. Critical Path Method (CPM) helps to identify the critical path(s) in the project networks. Irwin/McGraw-Hill Critical Path Scheduling: PERT and CPM CPM (critical path method) J. E. Kelly of Remington-Rand and M. R. Walker of Du Pont (1957) Scheduling maintenance shutdowns of chemical processing plants PERT (program evaluation & review technique) U.S. Navy Special Projects Office (1958) Polaris missile project Irwin/McGraw-Hill Critical Path Scheduling A project must have: well-defined jobs or tasks whose completion marks the end of the project; independent jobs or tasks; and tasks that follow a given sequence. Irwin/McGraw-Hill CPM with Single Time Estimate Consider the following consulting project: Activity Assess customer's needs Write and submit proposal Obtain approval Develop service vision and goals Train employees Quality improvement pilot groups Write assessment report Designation Immed. Pred. Time (Weeks) A B C D E F G None A B C C D, E F 2 1 1 2 5 5 1 Develop a critical path diagram and determine the duration of the critical path and slack times for all activities Irwin/McGraw-Hill First draw the network D, 2 A, 2 B, 1 C, 1 F, 5 E, 5 Irwin/McGraw-Hill G, 1 Gannt Chart Activity Assess customer's needs A Write and submit proposal B Obtain approval C Develop service vision and goals D Train employees E Quality improvement pilot groups F Write assessment report G Week Irwin/McGraw-Hill | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | | | | | | | 10 11 12 13 14 15 16 Determine early start and early finish times ES=4 EF=6 ES=0 EF=2 ES=2 EF=3 ES=3 EF=4 A, 2 B, 1 C, 1 D, 2 ? ES=4 EF=9 E, 5 Irwin/McGraw-Hill F, 5 G, 1 When I can start depends on when predecessors finish ES=4 EF=6 ES=0 EF=2 ES=2 EF=3 ES=3 EF=4 A, 2 B, 1 C, 1 D, 2 ES=4 EF=9 E, 5 Irwin/McGraw-Hill ES=9 EF=14 F, 5 ES=14 EF=15 G, 1 Determine late starts and late finish times ES=4 EF=6 ES=0 EF=2 ES=2 EF=3 ES=3 EF=4 A, 2 B, 1 C, 1 ? D, 2 LS=7 LF=9 ES=4 EF=9 E, 5 LS=4 LF=9 Irwin/McGraw-Hill ES=9 EF=14 ES=14 EF=15 F, 5 G, 1 LS=9 LF=14 LS=14 LF=15 Don’t delay the project ES=4 EF=6 ES=0 EF=2 ES=2 EF=3 ES=3 EF=4 A, 2 B, 1 C, 1 LS=0 LF=2 LS=2 LF=3 LS=3 LF=4 D, 2 LS=7 LF=9 ES=4 EF=9 E, 5 LS=4 LF=9 Irwin/McGraw-Hill ES=9 EF=14 ES=14 EF=15 F, 5 G, 1 LS=9 LF=14 LS=14 LF=15 Critical Path & Slack ES=4 EF=6 ES=0 EF=2 ES=2 EF=3 ES=3 EF=4 A, 2 B, 1 C, 1 LS=0 LF=2 LS=2 LF=3 LS=3 LF=4 D, 2 LS=7 LF=9 ES=4 EF=9 E, 5 LS=4 LF=9 Irwin/McGraw-Hill Slack=(7-4)=(9-6)= 3 Wks ES=9 EF=14 ES=14 EF=15 F, 5 G, 1 LS=9 LF=14 LS=14 LF=15 Duration = 15 weeks Project Management Management of Projects Project Development Work Breakdown Structure Gannt Chart Critical Path Scheduling Network Diagram Single Time Estimate Three Time Estimate Find Expected Activity Times Find Activity Variance Identify the Critical Path Inferences about duration CPM with Three Activity Time Estimates Immediate Task Predecesors Optimistic Most Likely Pessimistic A None 3 6 15 B None 2 4 14 C A 6 12 30 D A 2 5 8 E C 5 11 17 F D 3 6 15 G B 3 9 27 H E,F 1 4 7 I G,H 4 19 28 Irwin/McGraw-Hill Expected Times Task A B C D E F G H I Immediate Expected Predecesors Time None 7 None 5.333 A 14 A 5 C 11 D 7 B 11 E,F 4 G,H 18 Opt. Time + 4(Most Likely Time) + Pess. Time Expected Time = 6 Irwin/McGraw-Hill 54 Days C, 14 E, 11 H, 4 A, 7 D, 5 F, 7 I, 18 41 Days B 5.333 G, 11 34.3 Days Duration = 54 Days What is the probability of finishing this project in less than 53 days? p(t < D) t TE = 54 D=53 Z = D - TE 2 cp A ctivity variance, Task A B C D E F G H I 2 Pessim . - O ptim . 2 = ( ) 6 Optimistic Most Likely Pessimistic Variance 3 6 15 4 2 4 14 6 12 30 16 2 5 8 5 11 17 4 3 6 15 3 9 27 1 4 7 1 4 19 28 16 (Sum the variance along the critical path.) 2 = 41 p(t < D) TE = 54 D=53 Z = D - TE 2 cp t 53 - 54 = = -.156 41 p(Z < -.156) = .5 - .0636 = .436, or 43.6 % (Appendix D) There is a 43.6% probability that this project will be completed in less than 53 weeks. Exercise: What is the probability that the project duration will exceed 56 weeks? p(t < D) t TE = 54 D=56 Z = D - TE 2 cp 56 - 54 = = .312 41 p(Z > .312) = .5 - .1217 = .378, or 37.8 % (Appendix D) Irwin/McGraw-Hill Problem 5 - What is the probability of completing the project in less that 16 days? Activity A B C D E F G H Irwin/McGraw-Hill Immediate Predecessors --A A B C, D D, E F, G Time Estimates a m b 1 3 5 1 2 3 1 2 3 2 3 4 3 4 11 3 4 5 1 4 6 2 4 5 Expected Time Variance Project Management Management of Projects Project Development Work Breakdown Structure Pure Project Structure Gannt Chart Critical Path Scheduling Functional Structure Matrix Structure Network Diagram Single Time Estimate Three Time Estimate Early Start Schedule Find Expected Activity Times Late Start Schedule Find Activity Variance Activity Slack Identify the Critical Path Identify the Critical Path Inferences about duration Time Cost Models Time-Cost Models Basic Assumption: Relationship between activity completion time and project cost Time Cost Models: Determine the optimum point in time-cost tradeoffs Irwin/McGraw-Hill Activity direct costs Project indirect costs Activity completion times Problem – Crashing a Project D B 6 10 A 5 E G 7 4 C Weeks F 8 4 Activity A B C D E F G Normal Time 5 10 8 6 7 4 4 Normal Cost $ 7,000 12,000 5,000 4,000 3,000 6,000 7,000 Crash Time 3 7 7 5 6 3 3 Crash Cost $13,000 18,000 7,000 5,000 6,000 7,000 9,000