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Institute of Rural Management Anand: Operations Research (Or) PRM-41 - Term - II

This document is a report submitted by Group B6 to Prof. Kushal Anjaria on controlling air pollution. It discusses using operations research to determine the optimal allocation of furnaces to minimize air pollution. It includes two tables, one showing the fraction of furnaces used with the objective coefficients and allowable increases/decreases, and another showing the final values, shadow prices, and allowable increases/decreases for particulates, sulfur oxides, and hydrocarbons. The goal is to determine the best allocation of furnaces to stay within emission limits for these pollutants.

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NitishKhade
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38 views2 pages

Institute of Rural Management Anand: Operations Research (Or) PRM-41 - Term - II

This document is a report submitted by Group B6 to Prof. Kushal Anjaria on controlling air pollution. It discusses using operations research to determine the optimal allocation of furnaces to minimize air pollution. It includes two tables, one showing the fraction of furnaces used with the objective coefficients and allowable increases/decreases, and another showing the final values, shadow prices, and allowable increases/decreases for particulates, sulfur oxides, and hydrocarbons. The goal is to determine the best allocation of furnaces to stay within emission limits for these pollutants.

Uploaded by

NitishKhade
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as DOCX, PDF, TXT or read online on Scribd
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INSTITUTE OF RURAL MANAGEMENT ANAND 

OPERATIONS RESEARCH (OR)


 PRM-41 | Term - II 

Controlling Air Pollution


January 03,2021

Submitted to:
Prof. Kushal Anjaria

Submitted by:

Group B6
G. Shrikanth Reddy P41076
Nidhi Tulsyan P41088
Nishant Tripathi P41089
Nitish Khade P41090
Pankaj Gupta P41091
Sneh Matta P41117
Final Reduced Objective Allowable Allowable
Cell Name Value Cost Coefficient Increase Decrease
$C$19 Fraction Used Furnaces 1 -0.336210968 8 0.336210968 1E+30
$D$19 Fraction Used Furnaces 0.622697455 0 10 0.429446287 0.666961637
$E$19 Fraction Used Furnaces 0.343479402 0 7 0.381632653 2.011459969
$F$19 Fraction Used Furnaces 1 -1.816085017 6 1.816085017 1E+30
$G$19 Fraction Used Furnaces 0.047572816 0 11 2.975225225 0.044638358
$H$19 Fraction Used Furnaces 1 -0.044161637 9 0.044161637 1E+30

Final Shadow Constraint Allowable Allowable


Cell Name Value Price R.H. Side Increase Decrease
$I$11 Particulates (Millions of lbs) 60 0.111046969 60 14.29714286 7.48
$I$12 Sulfur oxides (Millions of lbs) 150 0.126817108 150 20.453125 1.689655172
$I$13 Hydrocarbons (Millions of lbs) 125 0.069325636 125 2.041666667 21.69195612

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