How can I draw the network diagrams? How can I list the network paths? How can I determine the critical paths? How can I determine the float for each activity?

Charlie Cook was able to determine the activity times for constructing his chemical contaminant tracking machine. Cook would like to determine ES, EF, LS, LF, and slack for each activity. The total project completion time and the critical path should also be determined. Here are the activity times: Q Activity Time (weeks) Immediate Predecessor(s) Activity Time (weeks) Immediate Predecessor(s) A B C D 7 8 2 1 Charlie's earliest start (ES) and earliest finish (EF) are: A A Activity A EFGH ES EF 7 5 7 11 8 B B C, E D, F

Problem 3: Taken from Exercise 5 from section 8.4 of Wayne Winston Operations Research. Consider the (simplified) list of activities and predecessors that are involved in building a house. Draw a project network and determine the minimal number of days needed to build a house using the Bellman-Ford algorithm. Exhibit a corresponding critical path. Activity A B C D E F G Description Build foundation Build walls and ceilings Build roof Do electrical wiring Put in windows Put on siding Paint house Immediate Predecessors A B B B E C, F Duration (Days) 5 8 11 5 4 6 3

The product development group at “Griffin” Company has already worked on new computer software products that has potential to know a large market share. Via an outside source, London Management has learned that a competitor is working to bring a similar product to market. As a result, London's top management increased its pressure on the product development group. Group leaders have turned to CPM / PERT as an aid to scheduling remaining activities before new products can be brought to market. The estimated time of activity in a day is as follows Question: Create an initial network Find the cost and the duration Determine the path and critical activities

b) – Draw the Activity-on-Node (AON) diagram using the following representation for every node: Activity Description Expected Time ES EF LS LF Slack C.) Complete the following table, determine the expected time of completion assuming that the project starts at week 0 (zero) and identify the critical path for this project. Demonstrate all your calculations. On Critical Path? Activity Activity Description ES EF LS LF Slack Yes or No Locate new facilities 2 Order furniture Interview prospective staff Hire and train staff 3 4. Remodel facilities Receive and set up furniture Move in and start up 6 7 a) Complete the following table, calculate the project variance and project standard deviation. Demonstrate all your calculations.

The Student Affairs Department at UCC has developed a sequence of activities for the University’s Sports Day. The Director has published the activities as shown in the table. All students are expected to participate and all activities are expected to be completed. The activities and immediate predecessors appear in the following table. Develop a network for this problem.   ACTIVITY IMMEDIATE PREDECESSOR A -- B -- C -- D B E A, D F C G E, F           Copy the following table in your answer booklet. Determine the values for the gray spaces hence complete the copied table. Activity Completion Times Early Start Early Finish Late Start Late Finish Slack On Critical Path A 2             B 5             C 1             D 3             E 2             F 6             G 8             CRITICAL…

A project network is shown below, with three time estimates (Optimistic Time-Most Likely Time-Pessimistic Time (in days)) for each activity in the network. a. Compute the expected time for each activity in the project network. b. Identify and list all possible paths in the project network. Compute the expected duration for each path in the project network. c. Identify the critical path(s) in the project network. What is the expected project completion time? d. Compute the variance of each activity on the critical path(s). e. Determine the project variance and project standard deviation. Use the PERT analysis results in 2(c) and 2(e) to answer questions (f), (g), (h), and (i) below:f. What is the probability that the project can be completed within 22 days of its start? g. What is the probability that the project can be completed within 16 days of its start? h. Determine the project deadline that gives this project a 78% chance of on-time completion. i. Determine the project deadline…

Dave Fletcher was able to determine the activity times for constructing his laser scanning machine. Fletcher would like to determine ES, EF, LS, LF, and slack for each activity. The total project completion time and the critical path should also be determined. Here are the activity times: Time Activity (weeks) 6 7 ABCO 3 2 Immediate Predecessor(s) A A D Dave's earliest start (ES) and earliest finish (EF) are: Time Activity (weeks) 4 EFGHI 6 10 7 Immediate Predecessor(s) B B C, E D,F

The following table provides the information necessary to construct a project network diagram and project crash data: Crash the project until no more crash can be performed How much it would cost The new critical path(s) Activity Immediate predecessor Activity Time (weeks) Activity Cost ($) Normal Crash Normal Crash A -- 16 8 2000 4400 B -- 14 9 1000 1800 C A 8 6 500 700 D A 5 4 600 1300 E B 4 2 1500 3000 F B 6 4 800 1600 G C 10 7 3000 4500 H D, E 15 10 5000 8000 End F, G, H

1b) Given the limited resources as indicated in the table above: Evaluate the officer’s chance to catch the robbers, if she arrives between minutes 47.5 and 49.5 after the robbery begins. [Calculate the probability for the critical path only]