Pert and Cpm · Industrial Engineering · GATE ME

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Marks 1

GATE ME 2017 Set 2
The standard deviation of linear dimensions $$P$$ and $$Q$$ are $$3\mu m$$ and $$4\mu m$$, respectively. When assembled, the standard deviation (in $$...
GATE ME 2016 Set 3
In $$PERT$$ chart, the activity time distribution is
GATE ME 2014
A minimal spanning tree in network flow models involves
GATE ME 2009
The expected time $$\left( {{t_e}} \right)$$ of a $$PERT$$ activity in terms of optimistic time $$\left( {{t_0}} \right)$$, pessimistic $$\left( {{t_p...
GATE ME 2004
In $$PERT$$ analysis a critical activity has
GATE ME 1997
A dummy activity is used in $$PERT$$ network to describe
GATE ME 1995
In $$PERT,$$ the distribution of activity times is assumed to be

Marks 2

GATE ME 2017 Set 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...
GATE ME 2016 Set 2
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 ...
GATE ME 2015 Set 2
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...
GATE ME 2015 Set 1
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...
GATE ME 2014 Set 4
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 $$e...
GATE ME 2014 Set 2
A project has four activities $$P,Q, R$$ and $$S$$ as shown below. The normal cost of the project is Rs. $$10,000/-$$ and the overhead cost is Rs. $...
GATE ME 2014 Set 3
Consider the given project network, where numbers along various activities represent the normal time. The free float on activity $$4$$-$$6$$ and the p...
GATE ME 2012
For a particular project, eight activities are to be carried out. Their relationships with other activities and expected durations are mentioned in th...
GATE ME 2012
For a particular project, eight activities are to be carried out. Their relationships with other activities and expected durations are mentioned in th...
GATE ME 2010
The project activities, precedence relationships and durations are described in the table. The critical path of the project is ...
GATE ME 2009
Consider the following network The optimistic time, most likely time and pessimistic time of all the activities are given in the table below : The c...
GATE ME 2009
Consider the following network The optimistic time, most likely time and pessimistic time of all the activities are given in the table below : The s...
GATE ME 2008
For the network below, the objective is to find the length of the shortest path from node $$P$$ to node $$G.$$ Let $${d_{ij}}$$ be the length of direc...
GATE ME 2006
Consider a $$PERT$$ network for a project involving six tasks ($$a$$ to $$f$$) The expected completion time of the project is...
GATE ME 2006
Consider a $$PERT$$ network for a project involving six tasks ($$a$$ to $$f$$) The standard deviation of the critical path of the project is...
GATE ME 2005
A project has six activities $$(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...
GATE ME 2003
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...
GATE ME 2002
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...
GATE ME 1990
In the construction of networks, dummy activities are introduced in order to :

Marks 5

GATE ME 2002
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...
GATE ME 2000
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...
GATE ME 1997
A project plan is given below: (a) Construct a $$PERT$$ network (b) Find the critical path and estimate the project duration....
GATE ME 1995
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...
GATE ME 1993
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...
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