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Industrial Engineering Miscellaneous

Industrial Engineering

  1. Jobs arrive at a facility at an average rate of 5 in an 8 hour shift. The arrival of the jobs follows Poisson distribution. The average service time of a job on the facility is 40 minutes. The service time follows exponential distribution. Idle time (in hours) at the facility per shift will be
    1. 5/7
    2. 14/3
    3. 7/3
    4. 10/3
Correct Option: B

Arrival rate = 5 jobs in 8 hr
service time = 40 min/job
∴ Total service time = 40 × 5 = 200 min

=
200
=
10
hrs
603

∴ Idle time 1 shift
=
24 - 10
=
14
hrs
33



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