Question 6 (Setup Everywhere) Consider the following batch-flow process consisting of three process steps performed by three machines. Process Step Step 1 Step 2 Step 3 Processing Time 0.25min./unit Setup time 30 min 0.20 min./unit 20 min 0.15 min./unit 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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(Setup Everywhere) Consider the following batch-flow process consisting of three process steps

performed by three machines.

Process Step 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?

Question 6
(Setup Everywhere) Consider the following batch-flow process consisting of three process steps
performed by three machines.
Process Step
Step 1
Step 2
Step 3
Processing Time
0.25min./unit
Setup time
30 min
0.20 min./unit
20 min
0.15 min./unit
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?
Transcribed Image Text:Question 6 (Setup Everywhere) Consider the following batch-flow process consisting of three process steps performed by three machines. Process Step Step 1 Step 2 Step 3 Processing Time 0.25min./unit Setup time 30 min 0.20 min./unit 20 min 0.15 min./unit 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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