Operations Management
17th Edition
ISBN: 9781259142208
Author: CACHON, Gérard, Terwiesch, Christian
Publisher: Mcgraw-hill Education,
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Chapter 16, Problem 17PA
Summary Introduction
To determine: The maximum average processing time for each call.
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Do: 12-21 Truck drivers working for Juhn and Sons (see Problems 12-19 and 12-20) are paid a salary of $20 per hour on average. Fruit loaders receive about $12 per hour. Truck drivers waiting in the queue or at the loading gate are drawing a salary but are productively idle and unable to generate revenue during that time. What would be the hourly cost savings to the firm associated with employing two loaders instead of one?
Not this: 12-19 Juhn and Sons Wholesale Fruit Distributors employs one worker whose job is to load fruit on outgoing company trucks. Trucks arrive at the loading gate at an average of 24 per day, or 3 per hour, according to a Poisson distribution. The worker loads them at a rate of 4 per hour, following approximately the exponential distribution in service times.
Not this: 2-20 Juhn believes that adding a second fruit loader will substantially improve the firm’s efficiency. He estimates that a two-person crew, still acting like a single-server system, at the loading…
A graphics reproduction firm has four units of equipment that are automatic but occasionally become inoperative because of the need for supplies, maintenance, or repair. Each unit requires service roughly twice each hour, or, more precisely, each unit of equipment runs an average of 30 minutes before needing service. Service times vary widely, ranging from a simple service (such as pressing a restart switch or repositioning paper) to more involved equipment disassembly. The average service time, however, is five minutes. Equipment downtime results in a loss of $20 per hour. The one equipment attendant is paid $6 per hour.Using finite queuing analysis, answer the following questions: a. What is the average number of units in line? b. What is the average number of units still in operation? c. What is the average number of units being serviced?d. The fi- rm is considering adding another attendant at the same $6 rate. Should the firm do it?
Experience the Tour de France (ETF) is a specialty travel agent. It arranges vacations for amateur cyclists who want to experience the
Tour de France by riding through one or more stages in the race. It has five people who take calls from clients. Each call lasts on
average 25 minutes, with a standard deviation of 50 minutes. A call arrives on average every 20 minutes with a standard deviation of
20 minutes.
(Do not round intermediate calculations. Round your answer to two decimal places.)
On average, how many minutes does a caller wait before talking to an
agent?
minutes
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- The time from when a patient is discharged from North Shore Hospital to the time the discharged patient’s bed is ready to be assigned to a new patient is referred to as the bed assignment turnaround time. If the bed turnaround time is excessive, it can cause problems with patient flow and delay medical procedures throughout the hospital. This can cause long waiting times for physicians and patients thus creating customer dissatisfaction. The admissions RN has assigned a patient care associate to measure the bed turnaround time for a randomly selected bed each morning., afternoon, and evening for 30 days. Following are the bed turnaround time sample observations: Day Day Bed Turnaround Times (min) 1 1 127 135 167 144 151 2 2 140 155 122 135 119 3 3 112 128 97 118 131 4 4 223 135 154 187 150 5 5 181 155 160 172 166 6 6 103 158 145 124 149 7 7 146 135 167 150 178 8 8 104 122 115 137 129 9 9 136 158 137 148 156 10 10 145 163 106 139 170 11 11 84 146 125 98…arrow_forwardA small call center normally has four employees answering calls while open. On average, seven calls arrive every four minutes. Under normal operating conditions, each employee on average handles each call in 3.3 minutes. But today, one employee has the flu, so the center needs to operate with three employees during this time. The manager is nervous that it may be supply-constrained and so she directs her employees to hurry up their processing of calls today. What is the maximum average processing time for each call that they need to achieve today so that they have a stable queue? Note: Round your answer to 2 decimal places. Answer is complete but not entirely correct. Maximum average processing time 4,73 minutesarrow_forwardWhat is the average utilization of the servers in a system that has three servers? On average 15 customers arrive every 15 minutes. It takes a server exactly three minutes to wait on each customer.arrow_forward
- Suppose a coffee shop order and fulfillment process is configured simply as a single queue with two steps: wait and service. Customers enter, wait their turn, and then are served, by placing and receiving their order all at once. Suppose that an average of 10 customers per hour enter the coffee shop while the shop is open. On average, there are two customers waiting in line to place their orders. It takes an average of 2 minutes to go through the service step, that is, it takes 2 minutes to complete the second step of placing and receiving the order. In steady state, O The average wait time before placing an order is 12 minutes. O The average time between customer arrivals is 5 minutes. O None of the answers are correct. There is an average of one customer being served at a time. O The average total time to wait and be served is 15 minutes.arrow_forwardA copier store has four pieces of automatic equipment, but sometimes they are down because they need supplies, maintenance or repair. Each unit requires about two services every hour or, to be exact, each piece of equipment runs an average of 30 minutes before needing service. Service times vary greatly, from a simple service (such as pressing the reset switch or replenishing the paper) to disassembling the equipment in question. However, the average service time is five minutes. The time the equipment is down generates a loss of $60 per hour. The single employee who services the equipment earns $18 per hour. Using finite population analysis, answer the following questions: a. What is the average number of units idling? b. What is the average number of units still operating? c. What is the average number of units being serviced? d. The company is considering adding another manager at the same wage of $18 per hour. should it do so?arrow_forwardA company that makes shopping carts for supermarkets and other stores recently purchased some new equipment that reduces the labor content of the jobs needed to produce the shopping carts. Prior to buying the new equipment, the company used five workers, who produced an average of 80 carts per hour. Workers receive $10 per hour, and machine cost was $40 per hour. With the new equipment, it was possible to transfer one of the workers to another department, and equipment cost increased by $10 per hour while output increased by four carts per hour. Compute labor productivity under each system. Use carts per worker per hour as the measure of labor productivity. Compute the multifactor productivity under each system. Use carts per dollar cost (labor plus equipment) as the measure.arrow_forward
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