ExampleConsider a small project that involves the following activities.Completion Times (days)PrecedingActivityActivityOptimistic (to) Most Likely (tm)Pessimistic (tp)A67418a41520Db, c45Ea16181. Determine the mean value of time and the variance for each activity.2. Use the expected times from (a) to find the critical path.3. Determine the probability of completing the project in 18 days4. Determine the probability of completing the project in 26 days

1.) The expression for the mean value is given as mean value=to+4tm+tp6 The expression for variance…

Consider a small project that involves the following activities. Completion Times (days) Preceding Activity Activity Optimistic (to) Most Likely (tm) Pessimistic (tp) A 5 6 7 4 18 4 15 20 D b, c 5 a 16 18

Consider a small project that involves the following activities. Completion Times (days) Preceding Activity Activity Optimistic (to) Most Likely (tm) Pessimistic (tp) A 5 6 7 4 18 4 15 20 D b, c 5 a 16 18

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Mapping

Mapping is the process of representing the surface of the earth, objects on it, and the relative positions of the objects, to a suitable scale. In mapping, a large area of land is measured, surveyed, and plotted. The details of the objects present in the nearby surrounding area are located using conventional signs. All these processes are carried out on a flat paper known as a map.

Question

Example
Consider a small project that involves the following activities.
Completion Times (days)
Preceding
Activity
Activity
Optimistic (to) Most Likely (tm)
Pessimistic (tp)
A
6
7
4
18
a
4
15
20
D
b, c
4
5
E
a
16
18
1. Determine the mean value of time and the variance for each activity.
2. Use the expected times from (a) to find the critical path.
3. Determine the probability of completing the project in 18 days
4. Determine the probability of completing the project in 26 days

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10. From the following table, draw the precedence network, perform the CPM calculations, and complete the table entries, assuming interruptible activities. Activity A ABCO с Duration IPA Type Rel Lag ES 3 3526 5 2 6 LAABC А B с SS FF 3 EF LS LF TF FF "If the relationship type is not mentioned, it is finish to start (FS). If no lag is mentioned, it is zero.
Determine the Early Start (ES) and Early Finish (EF) of activities in a precedence diagram methods (PDM) network diagram based on the Table 1 below. Table 1: List of activities, predecessor and duration Activity Predecessor Duration A В A C A D В E 3 F D, E 4 LO 4.
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Q2/ For the project data in Table below, answer the following questions: a) Draw an AOA network of the project and Perform forward path and backward path calculations with critical path identification? b) What are the effeet of delaying activities C by 2 days and D by 20 days? Duration Immediate Activity (day) predecessor A 20 23 D. 19 A. 16 24 G 18 E. B H 4 D,E, B I 10 G.D
Determine the amount of slack in each of a project's activities (presented below), identify the critical path, and identify the expected duration of the project. Activity Duration a (1-2) 4 b(1-3) 9 C (3-4) 5 d(2-4) 2 e(4-5) 3
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SITUATION 21: The activities, duration and cost under normal and accelerated conditions for a network diagram are shown below. ACTIVITY NODE Duration, Days Costs, Pesos Normal Accelerated Normal Accelerated A 1-2 10 7 3000 3450 2-4 8 6 2600 3400 1-3 6 6 2000 2000 3-5 12 11 4800 5100 2-5 13 10 3900 4500 F 4-5 24 3 2400 2700 G 5-6 2 2 1800 1800 64. Determine the normal duration of the project... a. 20 b. 25 c. 23 d. 22 65. Determine the critical path of the network a. a-e-g b. c-d-g c. a-b-c-d-g d. a-b-f-g 66. Determine the normal cost a. 22950 b. 20500 c. 22250 d. 22550 TMOSBY B с D E -
Example (1) In the following example, there is a group of activities. Find the following using the network diagram method R 6 I 5 H 5 B, critical path, CP, A, G 4 F 3 E.D (A.O.A): time required to complete the project. C B 5 2 3 5 R R H.I G F F,G G A 4 C,F B,D,E Effectiveness Duration (week) Subsequent effectiveness
Q2) A precedence diagram network is shown below. The To, Tm, Tp durations are shown for each activity. What is the probability (in percent) of completing the project in 7O days? F 15, 20, 25 9, 13, 20 20, 26, 33 H. 2,4,6 5, 6, 7 E G 15, 18, 28 19, 22, 26 10, 17, 26
question :- a sequence of four tasks is part of the project schedule. each of the four activities has a finish-start relationship with the next and each has one day of total float. currently, activity one and two have been completed on schedule. how many days of float remain in the schedule of these tasks?
Problem 2. Draw the PERT-CPM diagram for the list of activities shown using Backward Pass calculation. Indicate the Late Start and Late Finish of each activity in the diagram. (Hand written) Activity Immediate Expected Predecessors Duration (weeks) A B C D E F G H I J B A, C D C F F B H, E, G 3 5 3 4 8 12 4 253
Consider the given project network with the activity times (in days) written on arrow. The free float of activity 4-6 (in hours) is 2 3 2 5 5 1 3 4 2.