Production and Operations Analysis, Seventh Edition
Production and Operations Analysis, Seventh Edition
7th Edition
ISBN: 9781478623069
Author: Steven Nahmias, Tava Lennon Olsen
Publisher: Waveland Press, Inc.
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Consider the following two production processes making an electronic component for a navigation system. Both processes consist of 20 stations and operate at a cycletime of 1 minute/unit. Their most error-prone operation is step 9:• Process 1 has a final inspection at the end of the process and has about 300 units of inventory between step 9 and the inspection.• Process 2 has each worker check the work of the previous steps and about 50 units ofinventory between step 9 and the end of the process, roughly equally distributed across theremainder of the process.What would be the information turnaround time for a defect made at station 9?
Before completing production, a product must passthrough three stages of production. On the average, a newproduct begins at stage 1 every 6 minutes. The average timeit takes to process the product at each stage is as follows:stage 1, 3 minutes; stage 2, 2 minutes; stage 3, 1 minute.After finishing at stage 3, the product is inspected (assumethis takes no time). Ten percent of the final products arefound to have a defective part and must return to stage 1 andgo through the entire system again. After completing stage3, 20% of the final products are found to be defective. Theymust return to stage 2 and pass through 2 and 3 again. Onthe average, how many jobs are in the system? Assume thatall interarrival times and service times are exponential andthat each stage consists of a single server.
Consider the following batch-flow process consisting of three process stepsperformed 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 atthat step must be set up. (During a setup, the machine is unable to process any product.) Assumethat there is a dedicated setup operator for each machine (i.e., there is always someone availableto 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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