Operations Management
Operations Management
17th Edition
ISBN: 9781259142208
Author: CACHON, Gérard, Terwiesch, Christian
Publisher: Mcgraw-hill Education,
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Chapter 17, Problem 9CQ
Summary Introduction

To determine: The activities which likely to cause congestion?

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At the Millbrook High School cafeteria, students proceed along a series of stations in asingle line: (1) get tray and utensils, (2) choose food, (3) select beverage, (4) pay. Theschool is concerned that students are taking too long to get their meal. The school hasanalyzed the capacities of each of the four steps in isolation and found there exists sufficient capacity at each resource in isolation. Which of the following is most likely to becausing the congestion?a. The bottleneck is probably at the last station because capacity is reduced the mostwhen the bottleneck is at the end of the process.b. The implied utilization of the bottleneck is too low.c. Due to variability in processing times, both blocking and starving could be occurring.d. The process must be demand-constrained.e. The stations have similar utilizations.
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At the Smalltown post office, patrons wait in a singleline for the first open window. An average of 100 patronsper hour enter the post office, and each window can servean average of 45 patrons per hour. The post office estimatesa cost of 10¢ for each minute a patron waits in line andbelieves that it costs $20 per hour to keep a window open.Interarrival times and service times are exponential.a To minimize the total expected hourly cost, howmany windows should be open?b If the post office’s goal is to ensure that at most 5%of all patrons will spend more than 5 minutes in line,how many windows should be open?
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