Mechanical Engineering
2024 · Paper 1
Take it one question at a time. Try an answer, then check your understanding.
Complete GATE ME 2024 Paper 1 overview, original pages and practice · Timed previous-paper practice
Questions 34–36 of 65. Imported answers require review unless explicitly marked reviewed.
Question 34
Open questionMEMCQ1 markNeeds review
A set of jobs
arrive at time
to a production line consisting of two workstations in series. Each job must be processed by both workstations in sequence (i.e., the first followed by the second). The process times (in minutes) for each job on each workstation in the production line are given below.Job | | | | | | |
|---|---|---|---|---|---|---|
Workstation 1 | 5 | 7 | 3 | 4 | 6 | 8 |
Workstation 2 | 4 | 6 | 6 | 8 | 5 | 7 |
The sequence in which the jobs must be processed by the production line if the total makespan of production is to be minimized is
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Open questionMEMCQ1 markNeeds review
A queueing system has one single server workstation that admits an infinitely long queue. The rate of arrival of jobs to the queue system follows the Poisson distribution with a mean of 5 jobs/hour. The service time of the server is exponentially distributed with a mean of 6 minutes. In steady state operation of the queue system, the probability that the server is not busy at any point in time is
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The matrix
(where
) has a negative eigenvalue if
is greater thanYour answerChoose one option.
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