Operations Management
14th Edition
ISBN: 9781260238891
Author: Stevenson
Publisher: MCG
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Chapter 18, Problem 3CTE
Summary Introduction
To determine: Factors to be taken into account in deciding on whether to keep separate locations or pool servers and equipment at one central location.
Introduction: A waiting line system, otherwise called a queuing or lining system. It is one of the most seasoned and most generally utilized quantitative investigation systems. Waiting lines are an ordinary event, influencing individuals looking for foodstuffs, purchasing fuel, influencing a bank to store, or looking out for the phone for the most readily accessible carrier reservationist to reply.
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Why do queues arise at a service facility even though there is more than enough capacity to meet regular demand in the long run?
The following build-up diagram tracks the number of customers for a single-server
queueing system (e.g., an ATM machine) from 10:00am to 10:15am on a certain day.
The number of customers shown in the chart includes both those in service and
waiting in line.
Build-up diagram
# of Customers in system (in service + waiting)
3
2
1
0
10:00 10:01
10:02 10:03 10:04
10:07
10:09
We will call the customer who arrived the earliest during this time span the first
customer, the customer who arrived the second earliest the second customer, etc..
The service discipline is first-come-first-served (FCFS).
According to the diagram, how long did the second customer have to wait (in
minutes) before he can enter service?
For a single-server queue of 10 customers whose arrival and service time is given below in the table.
Complete the below given table.
Customer
Arrival Time ti
Inter Arrival Time
Ai=ti—ti-1
Service Begins
(Sb)
Delay Time (Di)
Service Time
(Si)
Calculate
Ci=ti+Di+Si
1
7:00
7:02
6
2
7:08
7:12
4
3
7:11
7:16
1
4
7:13
7:19
5
5
7:18
7:25
10
6
7:36
7:39
2
7
7:40
7:44
3
8
7:45
7:48
3
9
7:49
7:52
4
10
7:55
7:57
3
Find the average service time and average delay time.
Average Service Time=
Average Delay Time=
Chapter 18 Solutions
Operations Management
Ch. 18.1 - Prob. 1.1RQCh. 18.1 - Prob. 1.2RQCh. 18 - Prob. 1DRQCh. 18 - Why do waiting lines form even though a service...Ch. 18 - Prob. 3DRQCh. 18 - Prob. 4DRQCh. 18 - What approaches do supermarkets use to offset...Ch. 18 - Prob. 6DRQCh. 18 - Prob. 7DRQCh. 18 - Prob. 8DRQ
Ch. 18 - Prob. 9DRQCh. 18 - Prob. 1TSCh. 18 - Prob. 2TSCh. 18 - Prob. 3TSCh. 18 - Prob. 1CTECh. 18 - Prob. 2CTECh. 18 - Prob. 3CTECh. 18 - The owner of Eat Now Restaurant implemented an...Ch. 18 - Prob. 5CTECh. 18 - Prob. 1PCh. 18 - Prob. 2PCh. 18 - Prob. 3PCh. 18 - Prob. 4PCh. 18 - Prob. 5PCh. 18 - Prob. 6PCh. 18 - Prob. 7PCh. 18 - Prob. 8PCh. 18 - Prob. 9PCh. 18 - Prob. 10PCh. 18 - Prob. 11PCh. 18 - Prob. 12PCh. 18 - Prob. 13PCh. 18 - Prob. 14PCh. 18 - Prob. 15PCh. 18 - A priority waiting system assigns arriving...Ch. 18 - Prob. 17PCh. 18 - Prob. 18PCh. 18 - Prob. 1CQ
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- A large industrial pier has two cranes that load container ships. Trucks arrive in a single line and then go to the next available crane when it is clear to do so. The arrival rate of the trucks is Poisson distributed. They arrive at a rate of 20 trucks per hour. Each crane works independently and can attach to the truck-pulled container and place it on the container ship in 4.8 minutes, on average. Crane loading activities follow an exponential distribution. How many trucks are on the pier on average?arrow_forward1 What can you say about a queue that is E_k/ M/3/PR/200/∞arrow_forwardYour employer is considering a choice between a single-line and a multiple-line arrangement. The operation involves multiple servers and a single-phase service. When would each arrangement be ideal?arrow_forward
- In an M/MA queueing system, the arrival rate is 6 customers per hour and the service rate is 8 customers per hour.arrow_forwardCakes baked by the Freshfood Bakery are transported from the ovens to be packaged by one of three wrappers. Each wrapper can wrap an average of 200 cakes per hour. The cakes are brought to the wrappers at the rate of 500 per hour. If a cake sits longer than 5 minutes before being wrapped, it will not be fresh enough to meet the bakery’s quality control standards. Does the bakery need to hire another wrapper?arrow_forwardThe medical director of a large emergency clinic faces a problem of providing treatment for patients who arrive at different rates during the day. There are several doctors available to treat patients when needed. If not needed, they can be assigned to other responsibilities (for example, lab tests, reports, x-ray diagnoses) or else rescheduled to work at other hours. It is important to provide quick and responsive treatment, and the medical director feels that, on the average, patients should not have to sit in the waiting area for more than 20 minutes before being seen by a doctor. Patients are treated on a first-come, first-served basis and see the first available doctor after waiting in the queue. The arrival pattern for a typical day is: ________________________________________________ Arrival Rate, Time patients/hour…arrow_forward
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