GATE ME
Industrial Engineering
Pert and Cpm
Previous Years Questions

## Marks 1

The standard deviation of linear dimensions $$P$$ and $$Q$$ are $$3\mu m$$ and $$4\mu m$$, respectively. When assembled, the standard deviation (in $$... In$$PERT$$chart, the activity time distribution is A minimal spanning tree in network flow models involves The expected time$$\left( {{t_e}} \right)$$of a$$PERT$$activity in terms of optimistic time$$\left( {{t_0}} \right)$$, pessimistic$$\left( {{t_p...
In $$PERT$$ analysis a critical activity has
A dummy activity is used in $$PERT$$ network to describe
In $$PERT,$$ the distribution of activity times is assumed to be

## Marks 2

A project starts with activity $$A$$ and ends with activity $$F.$$ The precedence relation and durations of the activities are as per the following ta...
A project consists of $$14$$ activities, $$A$$ to $$N$$. The duration of these activities (in days) are shown in brackets on the network diagram. The ...
A project consists of $$7$$ activities. The network along with the time durations (in days) for various activities is shown in the figure. The minim...
Following data refers to the activities of a project, where, node $$1$$ refers to the start and node $$5$$ refers to the end of the project. The cr...
The precedence relations and duration (in days) of activities of a project network are given in the table. The total float (in days) of activities $$e... A project has four activities$$P,Q, R$$and$$S$$as shown below. The normal cost of the project is Rs.$$10,000/-$$and the overhead cost is Rs. ... Consider the given project network, where numbers along various activities represent the normal time. The free float on activity$$4$$-$$6$$and the p... For a particular project, eight activities are to be carried out. Their relationships with other activities and expected durations are mentioned in th... For a particular project, eight activities are to be carried out. Their relationships with other activities and expected durations are mentioned in th... The project activities, precedence relationships and durations are described in the table. The critical path of the project is ... Consider the following network The optimistic time, most likely time and pessimistic time of all the activities are given in the table below : The c... Consider the following network The optimistic time, most likely time and pessimistic time of all the activities are given in the table below : The s... For the network below, the objective is to find the length of the shortest path from node$$P$$to node$$G.$$Let$${d_{ij}}$$be the length of direc... Consider a$$PERT$$network for a project involving six tasks ($$a$$to$$f$$) The expected completion time of the project is... Consider a$$PERT$$network for a project involving six tasks ($$a$$to$$f$$) The standard deviation of the critical path of the project is... A project has six activities$$(A$$to$$F)$$with respective activity durations$$7,5,6,6,8,4$$days. The network has three paths$$A-B,C-D$$and$$E...
A project consists of activities $$A$$ to $$M$$ shown in the net in the following figure with the duration of the activities marked in days. The proje...
A project consists of three parallel paths with mean durations and variances of $$(10,4), (12,4)$$ and $$(12,9)$$ respectively. According to the stand...
In the construction of networks, dummy activities are introduced in order to :

## Marks 5

The precedence relations and durations of jobs in a project are given below: (a) Draw the activity-on-arc project network (b) Determine all critical...
Given below are the data for a project network. (a) Draw the network for the above project capturing the precedence relationships. (b) Find the cri...
A project plan is given below: (a) Construct a $$PERT$$ network (b) Find the critical path and estimate the project duration....
A project with the following data is to be implemented: (a) What is the minimum duration of the project? (b) Draw a Gantt chart for the early sched...
For a small project with five jobs, the following data is given (i) Draw the project network in activity on arc mode (ii) Under $$PERT$$ assumption...
EXAM MAP
Joint Entrance Examination