Exam 9: Project Scheduling: Pertcpm

​Marcy Fetter, a staff analyst at the Los Angeles plant of Computer Products Corporation, is assigned to the team that is developing the process design for producing an RFID sensor. The corporate planning group in San Jose, California has contacted her and has asked how confident the design group is about completing the project in 60 days. She has developed these estimated time durations in days for the project: ​ ​ a. Compute the expected time and variance for each activity. b. Determine the critical path and the expected duration of the project. c. What is the probability that the project will take longer than 58 days to complete? d. Which path in the project network offers the greatest risk of overrunning a new deadline of 56 days?

From this PERT/CPM network, determine the list of activities and their predecessors. ​

A project network is shown below. Use a forward and a backward pass to determine the critical path, and then fill out the table below. Activity times are in weeks. Now assume that the times listed are only the expected times instead of being fixed times. Is the probability of being finished in fewer than 25 weeks more or less than 50%?

For the project represented below, determine the earliest and latest start and finish times for each activity as well as the expected overall completion time.

Activities with zero slack

​In PERT, the activity duration time is equal to the

The earliest start time rule

Which of the following is always true about a critical activity?

Activities require time to complete while events do not.

​The main difference between CPM and PERT is

Use the following network of related activities with their duration times (weeks) to complete a row for each activity under the column headings below.

National Oil Company (NATOCO) must plan the shutdown of its Houston refinery for routine preventive maintenance. Each hour of downtime is lost production time and is very costly, so NATOCO wants the maintenance project completed in 22 hours. The PERT network below shows the precedence relationships of the activities involved in the project. The table gives the activity times and costs under normal operations and maximum crashing. ? ? NATOCO wants to know the minimum cost of completing the maintenance project within the 22-hour period. Formulate and solve a linear program that will yield this information. ??? ?

The variance in the project completion time is the sum of the variances of all activities in the project.

A project consists of five activities. Naturally the paint mixing precedes the painting activities. Also, both ceiling painting and floor sanding must be done prior to floor buffing. ​ a. Construct the PERT/CPM network for this problem. b. What is the expected completion time of this project? c. What is the probability that the project can be completed within 9 hr.?

The length of time an activity can be delayed without affecting the project completion time is the slack.

To calculate an activity's latest finish time, you should consider its

The critical path

Which of the following is a general rule for crashing activities?

Given the following network with activities and times estimated in days, ​ a. What are the critical path activities? b. What is the expected time to complete the project? c. What is the probability the project will take more than 28 days to complete?