Sensitivity Analysis - Parking Stall Size Section 1

The amount of unused length:

LengthI = 180'

Current Length Used = I * SLength = 11 * 16' = 176'

Current Unused Length = LengthI - Current Length Used = 180' - 176' = 4'

Current Unused Length per Parking Aisle = Current Unused Length / Number of Parking Aisles

= 4' / 7 = .5714'

Additional Length Required = SLength - Current Unused Length = 16' -4' = 12'

Per Parking Aisle = 12' / Number of Parking Aisles = 1.7143'

Therefore, one can increase the stall length by up to .5714' or decrease the stall length by up to 1.7143' without changing the optimal solution.

The amount of unused width in the edges:

LengthI = 180'

Current Length Used = I * SWidth = 22 * 8' = 176'

Current Unused Length = LengthI - Current Length Used = 180' - 176' = 4'

Current Unused Width per Parking Space = Current Unused Length / Number of Parking Spaces

= 4' / 22 = .1818'

Additional Width Required = SWidth - Current Unused Length = 8' - 4' = 4'

Per Parking Space = 4' / Number of Parking Spaces = .1818'

Therefore, one can increase the stall width by up to .1818' or decrease the stall width by up to .1818' in the edges without changing the optimal solution.

The amount of unused width in the main rectangle:

WidthJ= 346'

Current Width Used = J * SWidth = 43 * 8' = 344'

Current Unused Width = WidthJ - Current Width Used = 346' - 344' = 2'

Current Unused Width per Parking Space = Current Unused Length / Number of Parking Spaces

= 2' / 43 = .0465'

Additional Width Required = SWidth - Current Unused Length = 8' - 2' = 6'

Per Parking Space = 6' / Number of Parking Spaces = .1395'

Therefore, one can increase the parking stall width by up to .1714' or decrease the parking stall width by up to .0571' in the main rectangle without changing the optimal solution.

Conclusion:

One can increase the parking stall width by .0465', decrease the parking stall width by .1395', increase the parking stall length by .5714' or decrease the parking stall length by 1.7145' without changing the optimal solution.

Abstract, Introduction, Background, Summary of Results, Problem Statement,

Solution Summary, Models, Parking Lot B, Acknowledgements