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Improvement of Queuing
in Cong Sao Dessert
KONG Lingtao 20144929
KUANG Jiafei 20170435
BU Xuezhu 20170459
BAI Lu 20171051
PAN Xin 20145040
Introduction
•  Cong Sao Dessert
•  Problem-Long Queue
•  Queuing Model Selection
	
  	
  	
  	
  
Cong Sao Dessert

	
  

Cong Sao
Dessert is a
popular chain
dessert shop
in Hong Kong. 	
  
Fast Facts of Cong Sao Dessert
Capacity of Seats	
 

68	
 

Cooks	
 

3	
 

Waitress 	
 

5	
 

Cashier	
 

1	
 

HK$15000	
  Per Month
Salary of a Waitress	
 
HK$12000	
  Per Month
Average time for dessert preparation 	
 6 minutes	
  Per Order
Salary of a Cook	
 

No. of total orders in rush hour 	
 

25

Per Hour

No. of take-out orders in rush hour	
  10

Per Hour
Two-Week Daily Order Count
Tue	
 

Wed	
 

Thu	
 

Fri	
 

Sat	
 

Sun	
 

1st week	
  118	
 

107	
 

108	
 

123	
 

166	
 

239	
 

273	
 

2nd week	
 114	
 

111	
 

134	
 

124	
 

149	
 

279	
 

267	
 

	
 

Mon	
 

Busiest days among a
week: Friday, Saturday
and Sunday
Rush time each day:
9:30 PM to 11: 30PM
How to Solve the Problem!
M/M/3
E q u a & o n s	
   f o r	
   m u l & p l e -­‐
channel	
   queuing	
   wai&ng	
  
model	
   with	
   Poisson	
   arrival	
  
and	
  exponen&al	
  service	
  Times	
  
(M/M/s)	
  are	
  complicated.	
  	
  
	
  
Series	
  of	
  func&ons	
  used	
  by	
  us	
  
are	
  shown	
  in	
  right.	
  	
  
	
  
	
  
Use	
   the	
   M/M/s	
   Template	
   in	
  
Excel	
   to	
   generate	
   useful	
  
parameters	
  for	
  analysis.	
  	
  
M/M/s Template
Structure Of Dessert Shop
Before

After
Fast Facts

No Way to Increase
Any More!!!

Capacity of Seats	
 

68	
 

Cooks	
 

3	
 

Waitress 	
 

5	
 

Cashier	
 

1	
 

HK$15000	
  Per Month
Salary of a Waitress	
 
HD$12000	
  Per Month
Average time for dessert preparation 	
 6 minutes	
  Per Order
Salary of a Cook	
 

No. of total orders in rush hour 	
 

25

Per Hour

No. of take-out orders in rush hour	
 

10

Per Hour
Three Recommendations
•  More Cooks (Cong Sao)
•  Delivery Service and
Call & Pickup (Cong Sao)
•  Cycle Time Reduction (Customers)
More Cooks
•  Optimal Number of Cooks

•  Trade-off between
Cost of Service (SC) & Cost of Waiting (WC)
Total Expected Costs
Costs	
  

Total	
  Cost	
  

Cost	
  of	
  Service	
  

goes	
  up	
  as	
  you	
  pay	
  for	
  
more	
  servers.

	
  

Fewer	
  servers	
  
oJen	
  means	
  
longer	
  wai&ng	
  
for	
  customers.	
  

Costs	
  of	
  Wai/ng	
  

goes	
  down	
  as	
  service	
  
increases.	
  

Op&mal	
  #	
  of	
  servers	
  
Number	
  of	
  Servers	
  

Many	
  servers	
  
means	
  liKle	
  or	
  no	
  
wai&ng,	
  but	
  higher	
  
service	
  costs.	
  

Note	
  that	
  the	
  lowest	
  cost	
  system	
  requires	
  some	
  customer	
  wai/ng.	
  
How to Measure the SC & WC
•  SC – Hourly Wages of a Cook and a Waitress (Cs)
•  WC – Hourly wages* of customers# lost in queuing (Ca)
*Information from 2011 Hong Kong Population Census
Average working time are 49 hours per week from
Report of Policy Study on Standard Working Hours,
published by Labour Department of Hong Kong SAR
# Customers here mainly refer to people living in
Hang Hau East, where the dessert shop locates.
Ca=14,000/(49*4.25)
=HK$67.23
Estimation for
customers’ hourly wage.

Cs=(15,000+12,000)/
(49*4.25)=HK$129.65
1 month = 4.25 weeks
More Cooks
Input number
of servers, 1, 2,
3, 4, 5, and 6 in
to the yellow
cell.
The optimal number of

4

Cooks is , which means
Cong Sao should hire one
more cook.
Delivery Service and Call & Pickup
•  No need to wait outside for take-out food
•  How to implement
1.  Hire Part-time delivery person
2.  Cross training is adopted.

•  Detailed feasibility analysis
Delivery Service
Flowchart for Delivery service (in rush time)

Customer calls in

Delivery Service for local
community should be priced
reasonably or free when
orders are big enough.

Order waits to be
prepared

Order is prepared
Average time=6
minutes

Order is delivered
Average time=20
minutes(round
trip)

Order	
  waits	
  to	
  be	
  
delivered
Cooking process

Deliver process

Hire four part-time delivery persons, then
the total time customer waits will be 37.01mins.
Call & Pickup	
  
•  Customers order by phone and pick up desserts by
themselves.
•  The accuracy of picking-up time estimation will be
critical. Customers should be clearly informed when
they can pick up their orders.
•  Cong Sao can offer 85% to customers.
Cycle Time Reduction
•  Pre-Order In Queue
1. 
2. 
3. 
4. 

Stick latest menus on external walls
make it easy for customer to check out
pre-order or offer self-order sheets
shorten the unnecessary order time

•  Re-check Number of Customers
Write down the number of seats required for a group of customers.
They will be allowed in, when it goes to their turn and all of their
members gather.
Cycle Time Reduction
•  Background Music
More arousing music leads individuals to carry out activities
more quickly or spend less time on activities. Carefully select
background music to make customers eat fast.

•  Discount For Fast Eating
Offer Customers 10% discount if they can finish
their desserts within 15 minutes, in peak time.
Conclusion
•  In this project, we describe a common queuing
situation and present feasible mathematical
models for analysis.
•  Shorten queue length outside to improve the
quality of queuing and offer more convenience to
customers.
Thank you!!!

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EEMT 5120 project

  • 1. Improvement of Queuing in Cong Sao Dessert KONG Lingtao 20144929 KUANG Jiafei 20170435 BU Xuezhu 20170459 BAI Lu 20171051 PAN Xin 20145040
  • 2. Introduction •  Cong Sao Dessert •  Problem-Long Queue •  Queuing Model Selection        
  • 3. Cong Sao Dessert   Cong Sao Dessert is a popular chain dessert shop in Hong Kong.  
  • 4. Fast Facts of Cong Sao Dessert Capacity of Seats 68 Cooks 3 Waitress 5 Cashier 1 HK$15000 Per Month Salary of a Waitress HK$12000 Per Month Average time for dessert preparation 6 minutes Per Order Salary of a Cook No. of total orders in rush hour 25 Per Hour No. of take-out orders in rush hour 10 Per Hour
  • 5. Two-Week Daily Order Count Tue Wed Thu Fri Sat Sun 1st week 118 107 108 123 166 239 273 2nd week 114 111 134 124 149 279 267 Mon Busiest days among a week: Friday, Saturday and Sunday Rush time each day: 9:30 PM to 11: 30PM
  • 6. How to Solve the Problem!
  • 7. M/M/3 E q u a & o n s   f o r   m u l & p l e -­‐ channel   queuing   wai&ng   model   with   Poisson   arrival   and  exponen&al  service  Times   (M/M/s)  are  complicated.       Series  of  func&ons  used  by  us   are  shown  in  right.         Use   the   M/M/s   Template   in   Excel   to   generate   useful   parameters  for  analysis.    
  • 9. Structure Of Dessert Shop Before After
  • 10. Fast Facts No Way to Increase Any More!!! Capacity of Seats 68 Cooks 3 Waitress 5 Cashier 1 HK$15000 Per Month Salary of a Waitress HD$12000 Per Month Average time for dessert preparation 6 minutes Per Order Salary of a Cook No. of total orders in rush hour 25 Per Hour No. of take-out orders in rush hour 10 Per Hour
  • 11. Three Recommendations •  More Cooks (Cong Sao) •  Delivery Service and Call & Pickup (Cong Sao) •  Cycle Time Reduction (Customers)
  • 12. More Cooks •  Optimal Number of Cooks •  Trade-off between Cost of Service (SC) & Cost of Waiting (WC)
  • 13. Total Expected Costs Costs   Total  Cost   Cost  of  Service   goes  up  as  you  pay  for   more  servers.   Fewer  servers   oJen  means   longer  wai&ng   for  customers.   Costs  of  Wai/ng   goes  down  as  service   increases.   Op&mal  #  of  servers   Number  of  Servers   Many  servers   means  liKle  or  no   wai&ng,  but  higher   service  costs.   Note  that  the  lowest  cost  system  requires  some  customer  wai/ng.  
  • 14. How to Measure the SC & WC •  SC – Hourly Wages of a Cook and a Waitress (Cs) •  WC – Hourly wages* of customers# lost in queuing (Ca) *Information from 2011 Hong Kong Population Census Average working time are 49 hours per week from Report of Policy Study on Standard Working Hours, published by Labour Department of Hong Kong SAR # Customers here mainly refer to people living in Hang Hau East, where the dessert shop locates.
  • 15. Ca=14,000/(49*4.25) =HK$67.23 Estimation for customers’ hourly wage. Cs=(15,000+12,000)/ (49*4.25)=HK$129.65 1 month = 4.25 weeks
  • 16. More Cooks Input number of servers, 1, 2, 3, 4, 5, and 6 in to the yellow cell.
  • 17. The optimal number of 4 Cooks is , which means Cong Sao should hire one more cook.
  • 18. Delivery Service and Call & Pickup •  No need to wait outside for take-out food •  How to implement 1.  Hire Part-time delivery person 2.  Cross training is adopted. •  Detailed feasibility analysis
  • 19. Delivery Service Flowchart for Delivery service (in rush time) Customer calls in Delivery Service for local community should be priced reasonably or free when orders are big enough. Order waits to be prepared Order is prepared Average time=6 minutes Order is delivered Average time=20 minutes(round trip) Order  waits  to  be   delivered
  • 20. Cooking process Deliver process Hire four part-time delivery persons, then the total time customer waits will be 37.01mins.
  • 21. Call & Pickup   •  Customers order by phone and pick up desserts by themselves. •  The accuracy of picking-up time estimation will be critical. Customers should be clearly informed when they can pick up their orders. •  Cong Sao can offer 85% to customers.
  • 22. Cycle Time Reduction •  Pre-Order In Queue 1.  2.  3.  4.  Stick latest menus on external walls make it easy for customer to check out pre-order or offer self-order sheets shorten the unnecessary order time •  Re-check Number of Customers Write down the number of seats required for a group of customers. They will be allowed in, when it goes to their turn and all of their members gather.
  • 23. Cycle Time Reduction •  Background Music More arousing music leads individuals to carry out activities more quickly or spend less time on activities. Carefully select background music to make customers eat fast. •  Discount For Fast Eating Offer Customers 10% discount if they can finish their desserts within 15 minutes, in peak time.
  • 24. Conclusion •  In this project, we describe a common queuing situation and present feasible mathematical models for analysis. •  Shorten queue length outside to improve the quality of queuing and offer more convenience to customers.