SERVICE MARKETING PRESENTATION
Waiting-Line Models
CONTENTS ♦ CHARACTERISTICS OF A WAITING-LINE SYSTEM ♦ A BRIEF HISTORY ♦ Waiting Line Terminology ♦ Waiting line systems. ♦ WAITING LINE STRATEGIES
♦ CHARACTERISTICS OF A WAITING-LINE SYSTEM Arrival Characteristics Waiting-Line Characteristics Service Facility Characteristics ♦ Measuring the Queue’s Performance ♦ Queuing Costs ♦ ♦
You’ve Been There Before! Thank you for holding. ‘The other line Hello...are you there? always moves faster.’
‘If you change lines, the one you left will start to move faster than the one you’re in.’ © 1995 Corel Corp.
Waiting Line Examples Situation Bank Process
Arrivals
Servers
Service
Customers
Teller
Deposit etc.
Doctor’s office
Patient
Doctor
Treatment
Traffic intersection
Cars
Light
Controlled passage
Assembly line Parts
Workers
Assembly
Tool crib tools
Clerks
Check out/in
Workers
Waiting Lines ♦ First studied by A. K. Erlang in 1913 ♦
Analyzed telephone facilities
♦ Body of knowledge called queuing theory ♦
Queue is another name for waiting line
♦ Decision problem ♦
Balance cost of providing good service with cost of customers waiting
C ost
Deciding on the Optimum Level of Service Total expected cost
Minim um total cost
Cost of providing service
Low level of service
Optimal service level
Negative Cost of waiting time to company High level of service
Waiting Line Terminology ♦ Queue: Waiting line ♦ Arrival: 1 person, machine, part, etc. that arrives and demands service ♦ Queue discipline: Rules for determining the order that arrivals receive service ♦ Channel: Number of waiting lines ♦ Phase: Number of steps in service
Three Parts of a Queuing System at MR “X” Car-Wash
Input Characteristics Input Source (Population) Arrival Pattern
Size
Infinite
Finite
Random
Poisson
NonRandom
Other
Input Characteristics Input Source (Population) Arrival Pattern
Size
Infinite
Finite
Random
Poisson
NonRandom
Other
Behavior
Patient Impatient Balk
Renege
Waiting Line Characteristics Waiting Line
Queue Discipline
Length
Unlimited
Limited
FIFO (FCFS)
Random
Priority
Service Characteristics Service Facility Configuration Single Channel Single Phase
MultiChannel
Single-Channel, SinglePhase System Service system Arrivals
Ships at sea
Queue
Servic e facility
Ship unloading system Waiting ship line Dock
Served units
Empty ships
Single-Channel, MultiPhase System Service system Arrivals
Queue Servic e facility
Servic e facility
Cars McDonald’s drive-through in area Waiting cars Pay
Pickup
Served units
Cars & food
Multi-Channel, Single Phase System Service system Arrivals
Queue
Servic e facility Servic e facility
Example: Bank customers wait in single line for one of several tellers.
Served units
Multi-Channel, MultiPhase System Service system Arrivals
Queue
Servic e facility Servic e facility
Servic e facility Servic e facility
Served units
Example: At a laundromat, customers use one of several washers, then one of several dryers.
Assumptions of the Basic Simple Queuing Model ♦ Arrivals are served on a first come,
first served basis ♦ Arrivals are independent of preceding arrivals ♦ Arrival rates are described by the Poisson probability distribution, and customers come from a very large population ♦ Service times vary from one customer to another, and are independent of one and other; the average service time is known ♦ Service times are described by the negative exponential probability
Types of Queuing Models ♦ Simple (M/M/1) ♦
Example: Information booth at mall
♦ Multi-channel (M/M/S) ♦
Example: Airline ticket counter
♦ Constant Service (M/D/1) ♦
Example: Automated car wash
♦ Limited Population ♦
Example: Department with only 7 drills
WAITING LINE STRATEGIES When demand and capacity cannot be matched: ♦ EMPLOY OPERATIONAL LOGIC A] Multiple Queue B]Single Queue C]Take a number
Contd….. ♦ Establish a Reservation Process. ♦ Differentiate Waiting Customers. iii.Importance of the customer. iv.Urgency of the job. v.Duration of the service transaction. vi.Payment of a premium price.
MAKE WAITING FUN,OR AT LEAST TOLERABLE ♦ Unoccupied time feels longer than occupied time. ♦ Preprocess waits feel longer than in process waits. ♦ Anxiety makes waits seem longer. ♦ Uncertain waits are longer than known, finite waits. ♦ Unexplained waits are longer than explained waits.
Contd….. ♦ Unfair waits are longer than equitable waits. ♦ The more valuable the services, the longer the customer will wait. ♦ Solo waits feel longer than group waits.
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