Question 1 - about layout decisions (Total 20 marks) You are appointed by the management of Hong Kong Central Library (see Figure 1a) as an operations management consultant to improve the layout of its facilities to better serve the users. HONG KONG CENTRAL LIBRARY 20 3 2 Entrance Figure 1a Figure 1b Your first mission is to improve the layout of its first floor, which is also the main entrance hall at the podium level. There are six functions, namely, 1) Main library entrance, 2) Customer service counter, 3) Information counter, 4) Library catalogue terminals, 5) Book and gift shop, 6) Cafeteria. Current layout of the various functions (with the sequence of 1-3-2-6-5-4, viewed anticlockwise) is shown in Figure 1b. The walking distance between the various functions (in metre) is shown below: Between 1 2 3 4 5 6 1 20 10 20 30 40 2 10 30 20 10 3 30 30 20 4 10 20 5 10 6 The unit cost is $1 per metre of transport. You also examined the average traffic loading between various functions over a period of time, and have the hourly traffic volume (in no. of people) registered as follows: 1 5 2 400 3 100 80 Between 1 2 3 4 5 6 4 0 50 80 0 0 6 115 0 0 0 80 50 a) Compute the total traffic costs (in %) of the current layout. Show steps of calculations (3 marks) b) Which pair of functions has the most traffic load? What is the total traffic cost per hour? (2 marks) Besides Function 1 (i.e. the main entrance) that cannot be altered, the other five functions can be reconfigured to attain the least people movement on this floor. You can only swap the locations of two functions to get the improvement for the first round of improvement iteration. A suggestion is to re-configure to 1-2-3-6-5-4 (the original one was 1-3-2-6-5-4). What will be the new walking distance among functions under your first round's new sequence? (4 marks) Some figures have been put in for you. You just need to fill in those blank ones. Between 1 2 3 4 5 6 1 O 20 30 40 2 10 0 O 3 O O 4 10 20 5 10 6 d) Compute the new total traffic costs (in $). Show steps of calculations (3 marks) e) After the first round you have already saved some traffic costs. Now, your next round of improvement iteration is to swap Function 4 and Function 6. Then compute the most updated walking distance matrix. (3 marks) Some figures have been put in for you. You just need to fill in those blank ones. Between 1 2. 4 6 10 3 20 10 0 1 2 3 4 5 6 5 30 30 20 10 O O 20 10 f) Then compute the most updated total traffic costs (in $) after two rounds of iterations. Show steps of calculations. (3 marks) g) What will be your most updated sequence after two rounds of improvement iteration? (2 marks)