Consider the following batch-flow process consisting of three process steps performed by three machines. Process steps step 1 step 2 step 3 processing time 0.25min./unit 0.20 min./unit 0.15 min./unit setup time 30 min 20 min 45 min   Work is processed in batches at each step. Before a batch is processed at a step, the machine at that step must be set up. (During a setup, the machine is unable to process any product.) Assume that there is a dedicated setup operator for each machine (i.e., there is always someone available to perform a setup at each machine.) a. What is the capacity of step 1 if the batch size is 35 parts? b. For what batch sizes is step 1 (2, 3) the bottleneck?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section: Chapter Questions
Problem 59P
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Consider the following batch-flow process consisting of three process steps
performed by three machines.

Process steps step 1 step 2 step 3
processing time 0.25min./unit 0.20 min./unit 0.15 min./unit
setup time 30 min 20 min 45 min

 

Work is processed in batches at each step. Before a batch is processed at a step, the machine at
that step must be set up. (During a setup, the machine is unable to process any product.) Assume
that there is a dedicated setup operator for each machine (i.e., there is always someone available
to perform a setup at each machine.)
a. What is the capacity of step 1 if the batch size is 35 parts?
b. For what batch sizes is step 1 (2, 3) the bottleneck?

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