managing waiting lines mcgraw-hill/irwin copyright © 2011 by the mcgraw-hill companies, inc. all...
Post on 22-Dec-2015
218 views
TRANSCRIPT
Managing Waiting Lines
McGraw-Hill/Irwin Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
Lines and Waiting
“Every day I get in the queue, that waits for the bus that takes me to you …”
Pete Townshend, Magic Bus
12-2
Learning Objectives Describe the economies of waiting lines using
examples. Describe how queues form. Apply Maister’s two “laws of service.” Describe the four psychology of waiting components
and suggest strategies to deal with each. Describe the four principles of waiting line
management. Describe the essential features of a queuing system. Describe the relationship between a negative
exponential distribution of time between arrivals and a Poisson distribution of arrival rates.
12-3
Where the Time Goes
In a life time, the average person will spend:
SIX MONTHS Waiting at stoplights
EIGHT MONTHS Opening junk mail
ONE YEAR Looking for misplaced objects TWO YEARS Reading E-mail FOUR YEARS Doing housework FIVE YEARS Waiting in line SIX YEARS Eating
12-4
Cultural Attitudes “Americans hate to wait. So business is
trying a trick or two to make lines seem shorter…” The New York Times, September 25, 1988
“An Englishman, even when he is by himself, will form an orderly queue of one…” George Mikes, “How to be an Alien”
“In the Soviet Union, waiting lines were used as a rationing device…” Hedrick Smith, “The Russians”
12-5
Waiting Realities
Inevitability of Waiting: Waiting results from variations in arrival rates and service rates
Economics of Waiting: High utilization purchased at the price of customer waiting. Make waiting productive (salad bar) or profitable (drinking bar).
12-6
Laws of Service Maister’s First Law:
Customers compare expectations with perceptions. Maister’s Second Law:
Is hard to play catch-up ball. Skinner’s Law:
The other line always moves faster. Jenkin’s Corollary:
However, when you switch to another other line, the line you left moves faster.
12-7
Remember Me I am the person who goes into a restaurant, sits down,
and patiently waits while the wait-staff does everything but take my order.
I am the person that waits in line for the clerk to finish chatting with his buddy.
I am the one who never comes back and it amuses me to see money spent to get me back.
I was there in the first place, all you had to do was show me some courtesy and service.
The Customer
12-8
Psychology of Waiting
That Old Empty Feeling: Unoccupied time goes slowly A Foot in the Door: Pre-service waits seem longer that
in-service waits The Light at the End of the Tunnel: Reduce anxiety
with attention Excuse Me, But I Was First: Social justice with FCFS
queue discipline They Also Serve, Who Sit and Wait: Avoids idle
service capacity
12-9
Approaches to Controlling Customer Waiting
Animate: Disneyland distractions, elevator mirror, recorded music
Discriminate: Avis frequent renter treatment (out of sight)
Automate: Use computer scripts to address 75% of questions
Obfuscate: Disneyland staged waits (e.g. House of Horrors)
12-10
Essential Features of Queuing Systems
DepartureQueue
discipline
Arrival process
Queueconfiguration
Serviceprocess
Renege
Balk
Callingpopulation
No futureneed for service
12-11
Arrival Process
Static Dynamic
AppointmentsPriceAccept/Reject BalkingReneging
Randomarrivals withconstant rate
Random arrivalrate varying
with time
Facility-controlled
Customer-exercised
control
Arrival process
12-12
Distribution of Patient Interarrival Times
0
10
20
30
40
1 3 5 7 9 11 13 15 17 19
Patient interarrival time, minutes
Rel
ativ
e fr
eque
ncy,
%
12-13
Temporal Variation in Arrival Rates
0
0.5
1
1.5
2
2.5
3
3.5
1 3 5 7 9 11 13 15 17 19 21 23
Hour of day
Avera
ge ca
lls pe
r hou
r
60708090
100
110120130140
1 2 3 4 5
Day of week
Perc
enta
ge o
f ave
rage
dail
y ph
ysici
an vi
sits
12-14
Poisson and Exponential Equivalence
Poisson distribution for number of arrivals per hour (top view)
One-hour 1 2 0 1 interval Arrival Arrivals Arrivals Arrival
62 min.40 min.
123 min.
Exponential distribution of time between arrivals in minutes (bottom view)
12-15
Queue Discipline
Queue
discipline
Static(FCFS rule)
Dynamic
selectionbased on status
of queue
Selection basedon individual
customerattributes
Number of customers
waitingRound robin Priority Preemptive
Processing timeof customers
(SPT or cµ rule)12-17
Outpatient Service Process Distributions
0
5
10
15
1 11 21 31 41
Minutes
Relat
ive
frequ
ency
. %
0
5
10
15
1 11 21 31 41
Minutes
Relat
ive fr
eque
ncy,
%
0
5
10
15
1 11 21 31 41
Minutes
Rela
tive
frequ
ency
, %
Second Service
Appointment ServiceWalk-in Service
12-18
Service Facility Arrangements
Service facility Server arrangement
Parking lot Self-serve
Cafeteria Servers in series
Toll booths Servers in parallel
Supermarket Self-serve, first stage; parallel servers, second stage
Hospital Many service centers in parallel and series, not all used by each patient
12-19
Topics for Discussion
Suggest some strategies for controlling variability in service times.
Suggest diversions that could make waiting less painful.
Select a bad and good waiting experience, and contrast the situations with respect to the aesthetics of the surroundings, diversions, people waiting, and attitude of servers.
Suggest ways that management can influence the arrival times of customers.
What are the benefits of a fast-food employee taking your order while waiting in line?
12-20
Interactive Exercise
The class breaks into small groups with at least one international student in each group, if possible. Based on overseas travel, each group reports on observations of waiting behavior from a cultural perspective.
12-21
Thrifty Car Rental
Queue Features Customer Counter Garage Car Wash
CallingPopulation
ArrivalProcess
QueueConfiguration
QueueDiscipline
ServiceProcess
12-22
Eye’ll Be Seeing You How are Maister’s First and Second Laws of
Service illustrated? What good and bad features of a waiting
process are evident? How should Dr. X respond to Mrs. F’s letter? How could Dr. X prevent future incidents? Should customers be rewarded for offering
constructive criticism?
12-23
Sample Letter Dear Mrs. F.: I offer my deepest apologies for your recent bad
experience on January 5, 1989. The treatment you were shown and the length of time you had to wait is completely inexcusable.
You and the rest of your family are valued patients of mine and I hope this most unfortunate experience does not cause me to lose your patronage. I personally guarantee that this will not happen again.
I hope you will make another appointment with us to have your problem taken care of. This service, of course, will be provided free of charge.
Thank you for expressing your concerns. Please let me know immediately if you have any other problems.
Sincerely yours, Dr. X, M.D.
12-24