a Draw the Network diagram on your own paper. b. How many paths are there in the network? c. What is the project's duration?
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- What are the objectives of construction management? What are the main pillars of construction management? Define the following; 1.Activity 2. Event 3. Critical Path Using the precedence table given, construct the precedence matrix and draw an activity-on-node network. Activity Duration (days) Predecessors A, start 0 - B 7 A C 6 A D 3 B E 9 B,C F 1 D,E G 4 C H, finish 0 E,G 4. Complete the network for question 1 (B) and find the CRITICAL PATH .Fill the table below using the Activity-on-Arrow (A-o-A) network given and answer the questions. (Arrows between Node 2 & 4, Node 3 & 4, Node 8 & 9 are dummy activities) A D E G. K 3. Activity Duration EST EFT LST LFT TF FF IF (days) A 4 4 3 F G 6. H. 6. 4 K L. a) What is the total project duration?(please try to do math in handwritten) Use the following project data for problem 1 through 5 Activity name Predecessor Activity Activity Duration N 3 M 2 P M,N 4 3 P,Q R,S 2. 1. Prepare an AON Network Diagram 2. Identify all possible paths. Provide that information in a table. The heading of your table should as follow: Path Duration 3. Perform a forward pass and a backward pass. Display your result in an AON diagram.Usethe follow legend for your node(s) Activity ES EF Duration LS LF 4. Prepare a table summarizing the results of your Activity Schedule. The heading of your table should as follows: Activity name ES Slack EF LS LF 5. Identify the critical path. What is the project duration? 2. 4.
- Problem 9-14 (Algorithmic) Davison Construction Company is building a luxury lakefront home in the Finger Lakes region of New York. Coordination of the architect and subcontractors will require a major effort to meet the 44-week (approximately 10-month) completion date requested by the owner. The Davison project manager prepared the following project network: B F H Start C G Finish D E Estimates of the optimistic, most probable, and pessimistic times (in weeks) for the activities are as follows: Activity Optimistic Most Probable Pessimistic A 4 9 14 B 5 7 3 4 D 8 11 14 7 17Table 7.8 contains data for the installation of new equipment in a manufacturing process at Excello Corporation. Your company is responsible for the installation project. Indirect costs are $15,000 per week, and a penalty cost of $9,000 per week will be incurred by your company for every week the project is delayed beyond week 9.a. What is the shortest time duration for this project regardless of cost?b. What is the minimum total cost associated with completing the project in 9 weeks?c. What is the total time of the minimum-cost schedule?The VOXN Cinema is installing a new system to enhance the quality of movies shown. Assume that the following table provides information on the immediate predecessor relation and time estimated for each event. a.List the possible eight events which you think essential in expanding a Cinema.b. Draw a network diagramc.find the total time required to complete the project d. List the critical events of the project. Activity immediate predecessor Time (weeks) A - 3 B - 4 C A 6 D B 2 E A 5 F C 2 G D , E 4 H F , G 5
- 21. Recently, you were assigned to manage a project to remodel the seminar room for your company. You have constructed a network diagram depicting the various activities in the project (Figure 7.130). In addition, you have asked your team to estimate the amount of time that they would expect each of the activities to take. Their responses are shown in the following table. Activity A B с D E Optimistic Start 5 4 5 2 4 Figure 7.13 Network Diagram for Problem 21 B D TIME ESTIMATES (DAYS) Most Likely 8 8 6 4 7 Finish Pessimistic 11 11 7 6 10 a. What is the expected completion time of the project? b. What is the probability of completing the project in 21 days or less? c. What is the probability of completing the project in 17 days or less?The following represents a project that should be scheduled using CPM: IMMEDIATE PREDECESSORS ACTIVITY A ABCDEFGH B-E-G-H b. What is the critical path? A-C-F-H OA-D-F-H A-D-G-H A A B C,D D, E F,G Project completion time a LLL23312 TIMES (DAYS) m •WNNW: 3 2 2 3 4 4 4 4 b 5 3 3 4 11 c. What is the expected project completion time? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. days 565Assuming that you are a project manager for a consulting firm that is planning a feasibility study for a new city centre scheme. The activities for the final phase of the study project have been identified. The logical relationships for the identified activities is as shown in the dependency table below. Table 3.2: Activities for the Final Phase of a Feasibility Study Activity Immediate /predecessor (s) Duration (weeks) No. of Staff Needed A 3 B 5 3 C 4 B D A 7 2 E B.C 8 2 F C 6 5 G EF B 3 H F 10 B D.G 6 5 Table 3.2: Dependency Table Based on the information provided in the table: i. Draw and analyze the network diagram; and ii. Indicate the type of dependency relationships.
- The project described in the following table is scheduled to be completed in 11 weeks. Constructa network diagram using AOA or AON (see Example 5 for either type). Then answer the following questions:a. If you were the manager of this project, would you be concerned? Explain.b. If there is a penalty of $5,000 a week for each week the project is late, what is the probabilityof incurring a penalty of at least $5,000?Path ActivityEstimated Time(weeks)StandardDeviation (wks.)A C 4 0.70D 6 0.90B E 3 0.62F 9 1.9010. The project described in the following table is scheduled to be completed in 11 weeks. Constructa network diagram using AOA or AON (see Example 5 for either type). Then answer the followingquestions:a. If you were the manager of this project, would you be concerned? Explain.b. If there is a penalty of $5,000 a week for each week the project is late, what is the probabilityof incurring a penalty of at least $5,000? Path Activity Estimated time(Weeks) Std. Dev(Wks) A C 4 0.7 D 6 0.9 B E 3 0.62 F 9 1.9Consider the following project network and activity times (in days). E Start Finish D F G Activity | A B C D EF G Time 3 5 6 .2 The crashing data for this project are as follows: Time (days) Cost ($) Activity Normal Crash Normal Crash 800 1,200 2,000 A 2 1,400 В 2 1 1,900 3 2,800 1,500 1,800 2,300 E 6 4 2,800 1,000 1,000 F 2 1 600 G 2 1 500 a. Find the critical path and the expected project completion time. b. What is the total project cost using the normal times? Assume that management desires a 12-day project completion time. c. Formulate a linear programming model that can be used to assist with the crashing decisions. d. What activities should be crashed? e. What is the total project cost for the 12-day completion time? 2.