# Jackpine Mall Case

Topics: Trigraph, Optimization, Shopping mall Pages: 3 (501 words) Published: September 21, 2012
Case 3: Jackpine Mall

Jane Rodney, President of the Rodney development company, is creating a shopping centre at Jackpine Mall. She had already decided on a few stores to include within the shopping centre but could not decide on the next few. With our knowledge of decision modeling, we can achieve the most feasible solution for Jane. We based the decision of allocating the remaining few stores through our Present Value function:

MAX = 28.1CM + 34.6CW + 50.0CV + 162.0RF + 77.8RL + 100.4RC + 45.2RC&I + 80.2HH + 51.4HC&V + 62.5HL + 18.0MTA + 11.6MTS + 50.4MCS + 73.6MTY + 51.2MB

Where:
C, R, H, and M represent the departments of which the stores are classified. Those departments are respectively as follows; Clothing, Restaurants, Hard Goods, and Miscellaneous. Within each of the departments the variables are as follows: C - Clothing| R - Restaurants| H - Hard Goods| M - Miscellaneous| M – Men’s| F – Fancy| H – Hardware| TA – Travel Agency| W – Women’s| L – Lunchroom| C&V – Cutlery and Variety| TS – Tobacco| V - Variety| C – Cocktail| L – Luggage and Leather| CS – Camera Store| | C&I – Candy and Ice Cream| | TY – Toys|

| | | B – Beauty Parlor|

The Present Value function was then restricted by many constraints to find our optimal solution. Those constraints were as follows: Store Size (1000’s of SQ Metres):

0.3CM + 0.5CW + 0.65CV + 1.1RF + 0.6RL + 0.7RC +0.4 RC&I + 0.8HH +0.5 HC&V +0.7 HL + 0.2MTA + 0.2MTS + 0.3MCS + 0.7MTY + 0.3MB =< 4.8

Annual Rent (\$1000’s):

4.4CM + 6.1CW + 8.3CV + 24.0RF + 19.5RL + 20.7RC + 7.7RC&I + 19.4HH + 11.7HC&V + 15.2HL + 3.9MTA + 3.2MTS + 11.3MCS + 16.0MTY + 9.6MB >= 130.0

Construction Cost (\$1000’s):

24.6CM + 32.0CW + 41.4CV + 124.4RF + 64.8RL + 79.8RC + 38.6RC&I + 66.8HH + 45.1HC&V + 54.3HL + 15.0MTA + 13.4MTS + 42.0MCS + 63.7MTY + 40.0MB =< 700

Departmental (Number of stores allowed within the mall):
Clothing
1 >= (CM +...