Controlling Air Pollution

AGENDA

• Controlling Air Pollution-Problem

• Problem Understanding

• Solution

Problem

• The NORI & LEETS ., one of the major producers of steel in its part of the world, is located in the city of Steeltown an is the only larger employee there.

• Steeltown has grown and proposed along with the company which now employs nearly 50000 residents.

• The attitude of the towns people always has been what’s good for Nori & Leets is Good for the town .

• This attitude is now changing . Uncontrolled air pollution from the company’s furnace is ruining the apperance of the city and endangering the health of its residents.

PROBLEM UNDERSTANDING

Final Problem

Solution (in LINGO S/w)

Min = 8 * a + 10 * b + 7 * c + 6 * d + 11 * e + 9 * f ;

12 * a + 9 * b + 25 * c + 20 * d + 17 * e + 13 * f > = 60;35 * a + 42 * b + 18 * c + 31 * d + 56 * e + 49 * f > = 150;37 * a + 53 * b + 28 * c + 24 * d + 29 * e + 20 * f > = 125;

a > = 0 ; a < = 1;b > = 0 ;b < = 1;c > = 0; c < = 1;d > = 0; d < = 1;e > = 0; e < = 1;f > = 0;f < = 1;

Objective value: 32.15463 Infeasibilities: 0.000000 Total solver iterations: 4

Model Class : LP

Total variables: 6 Nonlinear variables: 0 Integer variables: 0

Total constraints: 16 Nonlinear constraints: 0

Total non zeros: 36 Nonlinear non zeros: 0

Variable Value Reduced Cost

A 1.000000 0.000000 B 0.6226975 0.000000 C 0.3434794 0.000000 D 1.000000 0.000000 E 0.04757282 0.000000 F 1.000000 0.000000

Row Slack or Surplus Dual Price 1 32.15463 -1.000000 2 0.000000 -0.1110470 3 0.000000 -0.1268171 4 0.000000 -0.6932564E-01 5 1.000000 0.000000 6 0.6226975 0.000000

7 0.3434794 0.000000

8 1.000000 0.000000 9 0.4757282E-01 0.000000 10 1.000000 0.000000 11 0.000000 0.3362110 12 0.3773025 0.000000 13 0.6565206 0.000000 14 0.000000 1.816085 15 0.9524272 0.000000 16 0.000000 0.4416164E-01