The managers of a company x have implemented a small project is shown in the following table: m b Immediate predecessor Activity A B co a 3 3 2 6 1 3
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- 1.The chief engineer of firm XYZ is responsible for supervising the construction work of a road. He has identified the activities and their durations for each stage of operation. Activity Duration (days) Preceding activities A 5 - B 10 - C 1 - D 8 B E 10 B F 9 B G 3 A,D H 7 A,D I 4 F J 3 F K 5 C,J L 8 H,E,I,K M 4 CJ Draw a network diagram (AOA) for this road construction project. Which are the critical activities? How long the project will take?Activity Predecessor Optimistic Most Likely Pessimistic 14 4 14 B. C A 6. 13 14 D A,B 4 8. 12 10 12 F C,E 5. 11 8 Find the mean and standard deviation of each task in this project then find the following: d) T probability to finish the project in more than 31 weeks. The m- The probability to finish the project in less than 31 or more than 35. g) In how many weeks can we complete the project with 90% probability?3.8 Roger Ginde is developing a program in supply chain management certification for managers. Ginde has listed a num- ber of activities that must be completed before a training program of this nature could be conducted. The activities, immediate pre- decessors, and times appear in the accompanying table: a) DrawtheappropriateAONPERTdiagramforJ.C.Howard’s management team. b) Find the critical path. c) What is the project completion time? • • 3.11 The following is a table of activities associated with a project at Rafay Ishfaq’s software firm in Chicago, their dura- tions, and what activities each must precede: ACTIVITY DURATION (WEEKS) PRECEDES A (start) 1 B, C B 1 E C 4 F E 2 F F (end) 2 — ACTIVITY IMMEDIATE PREDECESSOR(S) TIME (DAYS) A — 2 B — 5 C — 1 D B…
- 5. Preceding activity Activity Optimistic Most Pessimistic Likely A. 3 8 В A 1 3 5 A 11 D 4 3 4 В, С В, D E 3 5 4 F 5 2 2 E, F 3 12 a. Draw an AON diagram based on the activities and their relationships given in the table. b. Determine the expected time estimates for all the activities. c. Find the earliest start time (ES), earliest finish time (EF), latest start time (LS), latest finish time (LF), and Slack time for each activity of the project. d. Determine the total variance of the critical path. What is probability that project is completed within 28 weeks? е.DAYS IMMEDIATE ACTIVITY m PREDECESSORS A 10 12 B 6. 9 3 4 D 10 20 30 A E 6. 7 8 F 10 11 B, D, E G 6. 7 10 B, D, E 14 15 16 F 10 11 13 F 8 G, H K I,J L. 4 G, H 2. 63915. For the network shown: Crash Cost/week - (CC-NC)/(NT-CT) TOTAL COST-$44,000 Crash D-$1,000 Crash G-$2,000 Crash A-$3,000 0 0 ATS) Activity A B 54 C D E F 45 45 B(10) C(8) 1514 15 10 13 12 14 Normal Time 5 8 6 7 14 15 15 D(6) 21 20 19 21 a. Determine the critical path and the early completion time in weeks for the project. b. For the data shown, reduce the project completion time by three weeks. Assume a lin- ear cost per week shortened, and show, step by step, how you arrived at your schedule. 20 19 E(7) 14 13 17 F(4) 17 21 Normal Cost $7,000 12,000 5,000 4,000 3,000 6,000 7,000 21 20 21 25 G(4) 25 Crash Time 3 7 7 24 23 22 A 2 B3 C1 D1 E1 5 6 F1 3 G1 Crash Cost $13,000 18,000 7,000 5,000 6,000 7,000 9,000 A $3,000 B $2,000 C $2,000 D $1,000 E $3,000 F $1,000 G $2,000
- States) B E- Text Predictions: On Activity A I U 2. Given below are additional details for the Evergreen Company's construction project, i.e. three time estimates. B C D ALL E F Optimistic 0.5 ARDCCDGEe Normal 2.5 1 0.9 0.5 Most Likely 1 2 3 2 1 AaBb CcDdEe No Spacing 1 AaBbCcL AaBbCcDd. Heading 1 Heading 2 Pessimistic 2 2.5 3.5 3 1.1 1.5 a) Calculate the expected completion times and completion variances for each activity. b) What are the expected days to completion now for Evergreen? c) Compute the variance and standard deviation of the Evergreen project's completion time. d) What is the probability that the Evergreen Company's project can be completed in 6.5 days? e) What would be Evergreen Company's completion days if we needed a 95% confidence level? f) Which noncritical activities should Evergreen Company monitor closely? Why? Focus EA network consists of the activities in the following list. Times are given in weeks. Activity Preceding Time A В 3 -- C A 7 А, В 3 E 4 F D a. Draw the network diagram. b. Calculate the ES, EF, LS, LF, and Slack for each activity. Early Finish Early Start Task Late Late Slack Start Finish A B C D E F c. What is project completion time?1) Consider the following list of activities with time (in months) Activity A B C D E F G H Immediate Predecessor ----- ----- A A,B A,B C D,F E,G Activity Optimistic Most Probable Pessimistic A 3.5 4.0 4.5 B 2.0 3.0 7.0 C 6.5 7.5 10.0 D 5.0 5.5 6.0 E 5.0 6.5 8.0 F 8.0 9.5 11 G 6.0 7.0 9.5 H 4.0 5.0 6.0 a) Identify the critical path. b) What is the expected time to complete the project? c) What is the variance of the project completion time? d) What is the probability of completing in 32 months?
- Q1 ) Scenarios of a project activities (tables given below) and their required times to be completed in addition to their predecessors for developing a ‘Website’: Activity Description Duration (weeks) Preceding Activities A Determine user needs 8 -- B Review s/w and languages 4 -- C Purchase software 10 -- D Design format and style 10 B E Write programs 6 A F Review outcome product with user 12 C G Make revisions 4 C H Select server site 8 E I Install on server 14 D,F J Test 8 G,H,I Draw the path. Calculate the early finishing time (forwards calculations) Highlight the total time to complete the project (days) Calculate the late finishing time (backwards calculations) Calculate the slack time of the non-critical path activities Identify the critical path (highlight critical path activities) what would happen if activity D revised to take 14 instead of 10 days?Q3) A small project consisting of eight activities has the following characteristics: Time-Estimates (in weeks) Afest apostle dime (2) Activity ABCDEFGH (a) Draw the network for the project. (b) Determine the critical path. (c) Calculate the variance of the project. -Preceding ectivity None None A A A B.C D EFO N22rann 10 10 7 3 Most likely dime (m) 4 12 9 15 75 9 3.5 5 Most Pesshmestle alme (D) AR2R=an 12 26 10 11Q1. Based on the table below, solve the questions s Most Likely Duration 4 Predecessor Optimistic Duration 2 Activity Pessimistic Duration A 10 B A 5 8 15 H 1 3 H 4 10 12 D B 4 7 E C 11 14 21 F DE 9 13 17 G E,F 5 7 1. What is the probability that the project finishes in less than 40 days. 2. What is the probability that the Activity "G" finishes between 3 and 5 days. 3. Estimate project completion date with at least a 96% confidence level. 4. What is the probability that node "D" has a float more than Zero.