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8/19/2019 Waiting Time Management_2016
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Waiting TimeManagement
A Key Service Marketing-Operations Interface Question
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Queues: Everywhere!!
Examples
System Queue Service
Bank Account holders Transactions
Telephone Callers Tech support
Fast food Customers Food
Airport Airplanes Runways
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Waiting Time Management
Importance of waiting time management
Operations- based initiatives to manage customers’ waiting time
Perceptions-based initiatives to manage waiting experiences
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The Operations Approach
Objective:
Capacity planning, capacity utilization, scheduling, minimizing
waiting time
Actions:
Facilities design, designing queues
Selected Performance Criteria: Average utilization, average queue
length, average waiting time
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The Perceptions Approach
Objective:
Control perception of time, anxiety, boredom, and anger
Actions:
Activity planning, information sharing
Performance Criterion: Customer satisfaction
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The Base Case
If you have customers arriving at your facility a uniform rate of 2 per
hour, and one server takes exactly 30 minutes to serve one
customer, how many servers will you employ?
What will be the utilization of your facility?
What will be the average waiting time for your customers?
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A simple waiting line model: single server, Poisson arrival, exponentialservice time
Assumptions
Customer population is infinite
Waiting line has a single server
The arrival rate of customers is well approximated by a Poisson distributionService times follow an exponential distribution
Customers are served on a first-come-first-serve basis
Characteristics
= mean arrival rate, i.e., average number of arrivals per unit time
= mean service rate, i.e., average number of customers served per unit time
> 1; service rate > arrival rate.
Real Systems
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TradeoffsNumber of serversWaiting time
Components of a waiting line system
Arrival process
Distribution of service times
Queue discipline: priority ruleNumber of servers
Operating characteristics of a Waiting Line Model
Average number of customers in the system
Average time a customer spends in the system
Service facility utilization
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Utilization factor
=
Idle time = 1-
Average number of customers in the system
L =
Average time a customer spends in the
system
W = 1
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Mean
number
in queue
Utilization factor 0 1
0
2
0
Relationship between queue length
and utilization
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A Waiting Time Model with multiple servers
Assumptions
Waiting line has two or more servers (s servers)
Arrival rate follows a Poisson process
Arrivals wait in a single queue and move to the first available server
Service times are exponentialMean service rate is for each server
Characteristics
Utilization factor
s
Average number of customers in the system
L = W
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Increasing service levels at a facility
If we want customers’ waiting times to reduce we can do one of three things:
increase the speed of the server,
adding another server at the same location that draws on the same waiting line
adding another server at a different physical location
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Would these three actions result in similar gains?
Consider, for example, a case when = 8, = 10, i.e., / = 0.8.
Now let us double capacity using each of the three strategies mentioned above.
A summary of what happens to the system performance is given below.
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Doubling Capacity
Parameter Base Double Add Add
Case Speed Server Facility
Queue
length 3.2 0.267 0.153 0.267
Waiting
time (hr) 0.40 0.033 0.019 0.067
Total
time (hr) 0.50 0.083 0.119 0.167
(min) 30 5.0 7.15 10.0
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Maister’s eight propositions*
1)Unoccupied time feels longer than occupied time
2)Preprocess waits feel longer than in-process waits
3)Anxiety makes waits seem longer
4)Uncertain waits seem longer than known waits5)Unexplained waits are longer than explained waits
6)Unfair waits are longer than equitable waits
7)The more valuable the service, the longer people will
wait
8)Solo wait feels longer than group waits
David H. Maister, “The Psychology of Waiting in Lines,” HBS note 9-684-064
The Psychology of Waiting
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Multiple channel, single phase
Single channel, multiple phase
Multiple channel, multiple phase
Single Channel, Single
phase
Service Lines
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Selecting Service Line
Formats
Sojourn time is minimized with single-line-single-stage format. When sojourn times are short, customers prefer single lines. When
sojourn times are longer, customers prefer multiple parallel lines.
Customers are averse to multi-staging. If multi-staging is essential, its adverse effect can be reduced by
using open layouts or stage integrators.
Piyush Kumar and Maqbool Dada (2005), “Incorporating the service perspective in service line
design.”
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Customer Satisfaction Model
Sat (T | T0) = -A(T0)exp[c(T0 - T) + c2(S2)],
T = Customer’s estimate of the waiting time
T0 = Customer’s prior expectation of the waiting time
S2= Variance in customer’s estimate of the waiting time
c = customer’s risk aversion parameter
*Piyush Kumar, Manohar U. Kalwani, and Maqbool Dada, “The Impact of Waiting Time
Guarantees on Customers’ Waiting Experiences
Waiting Time Guarantees
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Waiting Time Guarantees
Guarantees enhance satisfaction at the beginning of a wait
During a wait, satisfaction is generally higher in guaranteed waiting
environments
At the end of a wait guarantees have a favorable impact on
satisfaction if they are met and an unfavorable impact if they areviolated.
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Managing Waiting Experiences
Never overlook the impact of managing customers’ perceptions
Determine what is an acceptable waiting time for your customers
Install distractions to entertain and physically involve your customers
Get customers out of line
Make people conscious of time only if they grossly overestimate it
Modify customer arrival behavior
Keep resources not serving customers out of sight
Segment customers by personality type
Karen L. Katz, Blaire M. Larson, and Richard C. Larson, “Prescription for waiting in Line Blues:Entertain, Enlighten, and Engage,” Sloan Management Review,Winter, 1991.
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Waiting Time Management
Decision Domains
Capacity: Overall and variability
Visibility: Observable or unobservable queues
Service Line Format: Default and flexibility
Threshold Enhancing Tools: Psychological
Assurance: Guarantees