Period Customer arrival Service time Service time Average
rate Mean Variance number of
1 K (min) v (min’) ““3?”
(Average restalll’ant
number per min)
-l_m-
mum-u
-nmu
David notices that the service time (at a register) is not the same for every
period. The service time is longer during the peak period because some
customers may order to take-away for more than one person. The table also
shows the average number of customers inside the restaurant, which also
varies from period to period.
(a) What is the average time that each customer spends in the restaurant in
each of the three periods? (6 marks)
David needs to plan how many registers should be opened in each period.
Let the number of registers opened be denoted by 3. Suppose David expects
that each customer should wait in line for no longer than 2 minutes on
average (excluding the time being serviced at a register).
(b) If s registers are opened, what is the utilisation of all the registers as a
whole in each period? Evaluate the utilisation for each period with
s=1, 2, 3, and 4. (8 marks)
(c) What is the minimum number of registers that is sufficient for each period
to meet David’s waiting time requirement?
Hint: use the following modified P-K formula for the average time spent in
system:
1 ‘ ‘t ‘ > Jfi
-2 + 1 p- ‘l’ K,
I , >5P(1-P).
where 5 stands for the number of servers (registers). (If you plug s=1 into the
above formula, it reduces to the one in Unit 3.) (6 marks)
Further reading if you are interested: ‘A Long Line for a Shorter Wait at the
Supennarket,’ The New York Times, June 2007.
(also try the multimedia link on this site.)
Assth ment 1
Submission: 9.3oam Wednesday 2 September 2015 (Week 6)
Weighting: 20%
Length: Refer to questions
Format: REPORT
questions. The three questions add to 100 marks. The overall mark for the
assignment will be converted back to a weighted mark out of 20%.
Question I
(60 Marks, 34 pages maximum)
Choose one product that your organisation makes or service that your
organisation provides and apply the theory and frameworks described in
Units 1 to 3 to describe the supply chain strategy that has been implemented.
Specifically, you should discuss:
1. the overall value chain (or shop) and corporate strategy
2. the competitive strategy, order winners and qualifiers and any significant
3. the six supply chain drivers and how these are employed to achieve the
desired supply chain strategy
4. how well the supply chain strategy is aligned to the corporate strategy
and, if required, any changes that you feel are required to the supply
chain drivers that would improve the alignment and therefore the overall
customer value proposition.
Question 1: Assessment criteria
product and the associated value chain (or shop)-
Describe the competitive strategy, order winners and qualifiers and 20%
Discuss the six supply chain drivers and how these are employed 50%
to achieve the desired supply chain strategy
Critique the alignment between the corporate strategy, the supply 20%
chain strategy and the customer value proposition
Appropriate presentation, structure, Harvard referencing, and
assignment length.