EXERCISE Draw the network diagram. a. Activity Name A B C D E F G H

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Norma Watkins
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1 XRIS. What do you mean by network analysis? xplain with counter examples.. What are the basic differences between PM and PRT analysis of project work?. State the rule of constructing the network diagram.. escribe dummy variable and the conditions in which a dummy variable is inevitable?. What is critical path? State the necessary and sufficient conditions of a critical path. an a project have multiple critical paths?. escribe the PM with suitable examples. In what type of project work PM is used?. Write short note on PRT. escribe the different types of time estimate used in PRT.. efine earliest time and latest time of an activity. How is slack time calculated? 9. What do you understand by a cost slope?. escribe the process of project crashing? When is project crashing needed?. raw the network diagram. a. ctivity Name G H b. ctivity Name G H I c. ctivity G H Predecessor,, G d. ctivity G H I J Predecessor, G H e. ctivity G H I Predecessor,, G f. ctivity G H I Predecessor,, G

2 g. ctivity G H I J K Predecessor, H, H G h. ctivity G H I J Predecessor, G, H G, H i. ctivity G H I J K L Predecessor,, G, H J, K j. ctivity G H I J Predecessor,,, G, H I. raw network diagram. ind the critical path and critical activities. lso determine the minimum time duration required to complete the project. ctivity G H I J K Predecessor, H G, J Time in days. ind the time duration of the project by using following information: ctivity G H Predecessor,,, G Time in weeks. The table given below gives the information about the activities, their predecessors and time duration required to complete the activities of the project. ctivity G H I J K L Predecessor,,, H I, J G Time in days 0 0 ind the time duration of the project and bottleneck activities.. The following activities must be completed in order to complete the project. etermine critical path and time duration of the project. ctivity G H I J Predecessor,,, G, H I Time (in week) 9

3 . The following activities must be completed in order to complete the project. etermine critical path and time duration of the project. ctivity 0 Time in days. work project consists of twelve activities labeled through L. Upon being asked to specify the order in which the jobs had to be done, the manager answered as follows:,, and are the first activities of the project and can start simultaneously and immediately; and precede while precedes,, and H. ctivities and precede G while and H precede I and J.,, and J precede K which, in turn, precedes L. urther, I, G, and L are the terminal activities of the project. ctivity: G H I J K L Time in days 9 a. raw a network diagram corresponding to this project. b. Obtain the lengths of all the paths and determine critical path.. project consists of nine activities. The information regarding to the predecessors and time duration required to complete an activity is given below. ind S,, LS, L and slack (float) time for each activity and determine the critical path on the basis of slack time of the activities. lso find the time duration of the project. ctivity G H I Predecessor,,, H Time in days 9 9. The following activities must be completed in order to complete the project. etermine critical path and time duration of the project on the basis of float time of the activities. ctivity G H I J Predecessor,,, G, H I Time (in days) 9. project consists of nine activities whose time estimates (in weeks) and other characteristics are given below: ctivities G H I Preceding activities,,, Optimistic time 9 Most likely time Pessimistic time 9

4 Identify the critical activities and critical path. lso show that the slack time of the critical activities is zero.. The owner of a hinese fast food restaurant is considering a new computer system for accounting and inventory control. computer company sent the following information about the computer system installation: ctivities G H I Preceding activities, G, H Optimistic time Most likely time 0 9 Pessimistic time a. onstruct network diagram for the project. b. etermine the critical path and compute the expected completion time. c. etermine the probability of completing the project in days.. The data for a PRT network is given in the following table: ctivities a 9 m b 9 a. raw a network and identify the critical path with bottleneck activities. b. stimate the expected duration of the project and corresponding variance. c. What is the probability that the project duration will not exceed 0 days? d. What is the probability that the project duration will exceed 0 days? d. What is the chance of completing the project between and days? e. What is the probability of completing the project within 0 days?. Given the following information: ctivity Nodes Time stimates (weeks) Optimistic Pessimistic xpected 0 9 9

5 G H I J K L a. raw the project network. Obtain the standard deviation of completion time of each activity. b. alculate expected duration of the project and its standard deviation. c. ind the probability that the project will be completed in weeks. d. If the project manager wants to be 90 per cent sure that the project should be completed in time, how many weeks prior to the deadline should he start it?. construction company is preparing a PRT network for laying the foundation of a new art museum. Given the following set of activities, their predecessor requirements and three time estimates of completion time: ctivity Predecessors Time estimates (weeks) Optimistic Pessimistic Most likely G H I J K None None,, G I H 9 a. raw the PRT network. b. What is the probability that the project will be completed in 0 weeks? c. What would be the scheduled time for the project if the project manager wants to be 99% sure for completing the project within it? d. The contract specified a Rs,000 penalty for each week if the completion of the project extends beyond weeks. What is the probability that this company will have to pay (i) a penalty? (ii) The penalty of at least Rs., 000? (iii) Maximum penalty of Rs,000? 9

6 . The estimates of a project to be completed at the shortest possible time are urgently required. Make use of the given information and following questions: ctivity Predecessors Normal Time rash Time Normal ost rash ost,, a. raw the network and determine the critical path with normal time. b. What is the shortest duration by which the project can be completed? c. If the indirect costs are Rs. 0 per day, what is the optimal duration of the project?. The following table shows, for each activity of a project, the normal and crash times as also the normal and crash costs. The indirect cost is Rs. 0 per day. ctivity Preceding ctivity Time (in weeks) ost (in Rs) Normal rash Normal rash G H I None None,, G,000 00,000,000,000,000,00,00,000 9,000,000,000,000 9,000,000,00,00,000 a. raw a project network diagram and find the critical path. b. If a deadline of weeks is imposed for completion of the project, what activities will be crashed, what would be the additional costs, and what would be the critical activities of the network after crashing?. The following table shows, for each activity of a project, the normal and crash times as also the normal and crash costs. The contract includes a penalty clause of Rs. 00 per day in excess of 9 days. The overhead cost is Rs. 00 per day.

7 ctivity Time (days) ost (Rs) Normal rash Normal rash () () () () () () (G) (H) ,000,00,00 0,000,000, a. raw the project network and determine the critical path. b. ind the cost of completing the project in normal time. c. rash the project activities and determine the cost of completing the project in the minimum time. d. What is the optimal duration of the project and what is the cost involved?. small project is having seven activities. The relevant data about these activities is given below: ctivity Predecessor Normal duration (days) rash duration (days) Normal cost (Rs) rash cost (Rs) G,,, ,000,000,00,00 a. ind out the normal duration and the minimum duration. b. What is the percentage increase in cost to complete the project in days? Hints: 00/00 = 0. =.% c. What will be the total cost of the project in shortest time duration?

8 9. The following table gives the activities in a construction project and other relevant information. ctivity Immediate predecessors Time (months) ost (Rs.) Normal rash Normal rash G,, The indirect of the project varies as follows: Months 9 ost in Rs (a) raw a network diagram for the project. (b) etermine the project duration which will result in minimum total project cost.

9 NSWR. ritical path: G K, ritical activity:, G & K, Project duration = 0 days.. ritical path: G H, Project duration = weeks.. ritical path: H I K, ritical activity:,, H, I and K, uration = 0 days.. ritical path: dummy dummy H I J. Project duration = weeks.. ritical path: 0. Project duration = days.. ritical paths: G and H J K L. Project duration = days.. ritical path: H I, ritical activity:,, H and I, Project duration = days. 9. ritical path: dummy dummy G I J. Project duration = days.. ritical path: H, ritical activity:,, and H. Project duration = weeks.. (b) ritical path: G I and Project duration = days. (c) (a) ritical path:, ritical activity:,,, (b) project duration is days and variance =. days. (c) 0.9 (d) 0.0 (e) 0. (f) (b) ritical path: K L, Project duration = weeks and S.. =. weeks. (c) 0.99 (d). weeks.. (b) 0.0 (c). weeks (d) (i) 0. (ii) 0. (iii) (a) ritical path:, Normal time = days (b) Minimum time = days (c) optimum time = days with minimum cost = Rs.,00. (a) ritical path: H (b),, and H should be crashed by,, and weeks respectively. dditional cost is Rs.,00. fter crashing, critical activity:,,, and H.. (a) ritical path: H (b) Rs.,0 (c) Rs.,00 (d) 9 days with cost Rs.,00. (a) days, days (b). % (c) Rs. 00 for days. 9. months with cost Rs. 9.

CIV E 710 Sample Exam Questions. Activity a m b A B C D E F G H I B 80 Mhrs.

CIV E 710 Sample Exam Questions. Activity a m b A B C D E F G H I B 80 Mhrs. 1 IV 710 Sample xam Questions Question 1: a) The optimistic, most likely, and pessimistic durations for the activities in the small project shown are in the following table. What is the probability of