Waiting Line Analysis Task
Waiting Line Analysis
McDonalds - Dago
Benediktus Duan Putra
Jeremy Joseph
Kristianto Wicaksana
McDonalds Waiting Line
Objective
To study the reliability of the McDonalds delivery system to provide a meal & beverages to a customer prior to reaching their critical wait time.
McDonalds provides several queues in
parallel, the first for ordering and paying, and the second, an (invisible) station where customers wait while their food is gathered and served. The time it takes to cook the food is accounted for in the time taken to
McDonalds Layout
Waiting Line Process -
Layout
McDonalds Waiting Line
Process has a strong correlation with its layout. To figure out the process, we can looking for information by look out restaurant layout.
Customers Arrival
Infinite Population
McDonalds Waiting Line’s population is large enough in relation to the service system so that the population size caused by subtractions or additions to the population does not significantly affect the
Distribution of Arrivals system probabilities
McDonalds Waiting Line’s population is large enough in relation to the service system so that the population size caused by subtractions or additions to the population does not significantly affect the system probabilities Observation I
Observation Time
12.30 – 1.30 PM : Lunch Time (18/03/2015)
5.00 – 6.00 PM : Afternoon / Off Work Time
(19/03/2015)
8.00 – 9.00 PM : Night (19/03/2015)
Multiple Server Single Stage Queue (2
Server)
McDonalds have one line that leads to several servers, each of whom can serve any customer equally well
Observation II
µ is a SOP for McDonalds delivery meals (2.5
Minutes).
Formula Model 3
Formula Model 3 is chosen to calculate waiting line process due to McDonalds has single service phase, infinite source population, and poisson arrival pattern.
Utilization of the teller: ρ= λ/µ
Mean time customers spend in queue: Wq = Lq / λ
Mean time customers spend in the system: Ws = Ls / λ
Mean number of customers
McDonalds - Dago
Benediktus Duan Putra
Jeremy Joseph
Kristianto Wicaksana
McDonalds Waiting Line
Objective
To study the reliability of the McDonalds delivery system to provide a meal & beverages to a customer prior to reaching their critical wait time.
McDonalds provides several queues in
parallel, the first for ordering and paying, and the second, an (invisible) station where customers wait while their food is gathered and served. The time it takes to cook the food is accounted for in the time taken to
McDonalds Layout
Waiting Line Process -
Layout
McDonalds Waiting Line
Process has a strong correlation with its layout. To figure out the process, we can looking for information by look out restaurant layout.
Customers Arrival
Infinite Population
McDonalds Waiting Line’s population is large enough in relation to the service system so that the population size caused by subtractions or additions to the population does not significantly affect the
Distribution of Arrivals system probabilities
McDonalds Waiting Line’s population is large enough in relation to the service system so that the population size caused by subtractions or additions to the population does not significantly affect the system probabilities Observation I
Observation Time
12.30 – 1.30 PM : Lunch Time (18/03/2015)
5.00 – 6.00 PM : Afternoon / Off Work Time
(19/03/2015)
8.00 – 9.00 PM : Night (19/03/2015)
Multiple Server Single Stage Queue (2
Server)
McDonalds have one line that leads to several servers, each of whom can serve any customer equally well
Observation II
µ is a SOP for McDonalds delivery meals (2.5
Minutes).
Formula Model 3
Formula Model 3 is chosen to calculate waiting line process due to McDonalds has single service phase, infinite source population, and poisson arrival pattern.
Utilization of the teller: ρ= λ/µ
Mean time customers spend in queue: Wq = Lq / λ
Mean time customers spend in the system: Ws = Ls / λ
Mean number of customers