Lesson 6: Waiting Line Models Flashcards

1
Q

Importance of Good Services

A
  • Time has become more valuable
  • Customer loyalty is significantly impacted by good/bad service
  • Technological advances have made better and faster services possible
  • Providing a level of service acceptable to customers offers a strong competitive advantage
  • Congestion could affect other business operations
  • Extra cost related to waiting space facility
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2
Q

Customer Satisfaction

A

A measure of the customer’s reaction to a specific service encounter.

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3
Q

Customer expectations

A

Preconceived notions of what will occur at a service operation, often influenced y prior experience, advertising, and word-of-mouth

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4
Q

Disconfirmation

A

A marketing measure of the difference between the customers expectations from a service operation and a customers perception of its performance

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5
Q

Actual Waiting time

A

Time, as measured by a stopwatch, of how long a customer has to wait prior to receiving service.

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6
Q

Perceived waiting time

A

Amount of time customers believe they have waited prior to receiving service

Perceived waiting time is in the customer’s mind, which is the time duration they believe that they have waited. For example, on very a hot day waiting 15 minutes in scorching sun could give you a feeling that you have been here for more than 30 minutes. However, at a nice saloon with Wi-Fi you can spend 20 minutes without realizing it.

Perceived waiting time plays a measured role in customer satisfaction. So, if the waiting time cannot be reduced, the organization puts effort into reducing the perceived waiting time.

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7
Q

Techniques to reduce perceived waiting time:

A

Distractions which engage the customers away from waiting. For instance, offering coffees or light snacks, providing newspapers or magazines, playing popular shows on a TV, etc.

Keeping the line moving by offering fast check-outs, priority check out, etc.

Keeping non-service staff out of sight, because staff idling while customers are waiting will give negative perception about the organization’s intention to provide better services.

Providing expected waiting time in advance, which will prepare the customer mentally to wait.

Self-service counters will transfer some responsibility to customers. Not only will it reduce lines, but customer generally don’t mind when waiting is due to them. For example – bank ATM, self-ticketing, self-check-in, etc.

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8
Q

True or False:

Waiting lines occur even in under loaded systems because of variability in service rates and/or arrival rates.

A

True

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9
Q

True or False:
A system has one service facility that on an average can service 10 customers per hour. The customers arrive at a variable rate, which averages 6 per hour. In this circumstance, no waiting lines will form.

A

False

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10
Q

True or False:

Typically customers will perceive waiting times to be less if the line continues to move.

A

True

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11
Q

Why is there waiting in a queue even if the service capacity exceeds the average demand on the system?

A

Variability in arrival and service rates

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12
Q

Waiting time in system

A

Waiting time in line + service time

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13
Q

Arrival Pattern (Rate)

A

The rate at which the customers join the queuing system.

The Poisson distribution is widely popular for queuing systems consisting of human customers.

Poisson distribution is defined by Lambda, which is arrivals per unit time. Typically, when the arrival pattern is following the Poisson distribution, the interarrival time, which is the time between two arrivals, follows exponential distribution.

If arrivals per unit time is Lambda then the mean interarrival time is 1 over lambda.

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14
Q

Service Pattern (Rate)

A

The service rate is defined using Mu, which is the number of customers served per unit time. It is also exponential for most of human based service systems.

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15
Q

Queue Discipline

A

Queue discipline is the rule used to form the queue in the system. Most commonly it is first-come-first-served (FCFS). In this course, we will only consider FCFS.

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16
Q

Common Performance measures

A

Waiting Time; Queue Length; Resource Utilization

17
Q

Waiting Time

A

Waiting time could be waiting time in line as well as waiting time in system. Waiting time in system includes waiting time line + service time.

18
Q

Queue Length

A

We may want to know the average number of people waiting in queue (at any given time) or the total number of people waiting in the system – the later includes the customers that are being served by servers.

19
Q

Resource Utilization

A

Utilization simply tells the percentage of time the server was busy.

The average time waiting in line increases non-linearly as server utilization increases. This also means that the size of the line will increase too.

Healthcare in Canada is an example of a sector that operates at close to 100 percent utilization.

20
Q

Little’s Law

A

Little’s Law provides very fundamental relationships for a stable system for queuing models.

21
Q

True or False:

The goal of queuing analysis is to minimize the length of customer waiting lines.

A

False

22
Q

True or False:

The cost of having customers wait has to be balanced with the cost of providing service capacity.

A

True

23
Q

True or False:

A multiple server system assumes that each server will have its own waiting line.

A

False

24
Q

True or False:

The most commonly used queuing models assume an arrival rate can be described by a Poisson distribution.

A

True

25
Q

In waiting lines, what is the term used when customers become impatient from waiting and leave the line?

A

Reneging

26
Q

A queuing system has four work stations with three workers to staff each station. To analyze this system, the number of “servers” is:

A

4

27
Q

The term “queue discipline” refers to:

A

The order in which customers are served.

28
Q

Model 1

A

Model 1 assumes: single server, Poisson arrival, exponential service time and infinite population.

29
Q

Model 3

A

In Model 3, we assume constant service rate, which means the service has no variability at all. Such systems are very common where robots are used. For instance, automated loading and unloading of trucks at warehouses, printing jobs at a common printer, etc.

Using the Little’s Law we can compute other performance measures.

30
Q

Model 5

A

Model 5 is an extension of Model 1. In this model we consider multiple servers.

All the assumptions related to arrival and service rates are same as Model 1. The most important assumption here is that customers form a single line.

The most common example is the Wal-Mart store where multiple counters serve customers in single line. Customers choose first available server.

31
Q

Optimal Capacity

A

Optimal capacity minimizes the sum of customer waiting cost and capacity or server cost.

32
Q

True or False:

Average service rate is the reciprocal of the average service time.

A

True

33
Q

True or False:

The reciprocal of the average rate of arrivals is the average interarrival time.

A

True

34
Q

True or False:

All infinite source queuing models require the server utilization to be less than 1.0.

A

True

35
Q

True or False:

In an infinite source model, the server utilization is the ratio of the average arrival rate to the service capacity.

A

True

36
Q

The goal of queuing analysis is to minimize:

A

The sum of customer waiting costs and costs of providing capacity.

37
Q

Which of these would increase server utilization?

A

An increase in average arrival rate.

38
Q

Which of the following is not generally considered as a measure of system performance in queuing analysis?

A

The average service time.