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This document analyzes various queuing and batching issues within a copy room environment. It compares the performance of both parallel copy rooms and shared single/multiple machine setups, evaluating key metrics like capacity, utilization, average job counts, and lead times for copy jobs. Additionally, it recommends an optimal solution based on quantitative and qualitative insights gathered from these analyses. The focus is on leveraging efficiency to improve workflow and meet the firm’s needs in an informed manner.
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OMG 402 Lab #3: More Queuing Qualitative batching
Problem #1: Pooling and Queuing in Copy Rooms • (a) Performance of the “parallel copy rooms” solution: • Capacity and utilization of each room • Average number of jobs in each room • Average “lead time” for a job
Copy Room • (b) Now consider the performance of a shared room with a single high-speed machine • Capacity and utilization of the machine • Average number of jobs in the room • Lead time for a copy job
Ropy Coom • (c) Now consider the performance of a shared room with two machines • Capacity and utilization of the room • Average number of jobs in the room • Lead time for a copy job
Coopy Rom • (d) What would you recommend as the best solution to the copy room needs of this firm? • Include relevant quantitative and qualitative arguments in your recommendation.
Problem 4: The Bandwagon Approach to The Goal • Donner’s Flaherty is so charged by reading The Goal that he decides to run out and halve his batch sizes. • “Holy NCX-10, Batman! What happened here?”
Problem #2: Martin Mercury the Taxi Man • (a) Diagram the service process from Martin’s perspective
Freddie Martin Mercury • (c) We know average drive to customer time, average transport/drop-off time. How do we find the average time between the arrival of a call and the start of a drive to the customer?
Problem #3: Hermes Cab • (a) Look it up in the table, eh! • (b) Look it up in the table again, eh! • (c) Be creative (No, it isn’t in the table)