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Full Proposal in pdf - M E Rinker Sr School of Building Construction ...

Full Proposal in pdf - M E Rinker Sr School of Building Construction ...

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4) Comb<strong>in</strong>e the true costs, guidel<strong>in</strong>es, and the function analysis to def<strong>in</strong>e andgenerate a decision model.The methodology for the model will follow the follow<strong>in</strong>g five-step procedure(W<strong>in</strong>ston, 1993):a) Formulate the ProblemDef<strong>in</strong><strong>in</strong>g the problem <strong>in</strong>cludes specify<strong>in</strong>g the objectives and the parts <strong>of</strong> thesystem that must be studied before the problem can be solved. In this researchthe objective would either be to m<strong>in</strong>imize the true costs <strong>of</strong> an IAQ controloption or maximiz<strong>in</strong>g the cost-effectiveness <strong>of</strong> IAQ control options.b) Observe the SystemIn this phase the research will be oriented towards the collection <strong>of</strong> data thatwould affect the problem determ<strong>in</strong>ed <strong>in</strong> the previous section. The data to becollected <strong>in</strong>cludes: how much an <strong>in</strong>crease <strong>in</strong> productivity save the owner <strong>in</strong>costs; how much an <strong>in</strong>crease <strong>in</strong> the supplied air amount would <strong>in</strong>creaseproductivity; how much hard costs are associated with a unit <strong>in</strong>crease <strong>in</strong> theamount <strong>of</strong> air or the treatment <strong>of</strong> the air; how much energy cost occurs by the an<strong>in</strong>crease <strong>in</strong> the unit <strong>of</strong> outdoor air supply or recirculation air.c) Formulate a Mathematical Model <strong>of</strong> the ProblemIn this phase a mathematical model <strong>of</strong> the problem will be developed. Thismodel will <strong>in</strong>clude:- Decision Variables- Objective Function- Constra<strong>in</strong>tsSome <strong>of</strong> potential decision variables could be as follows:X1 = Amount <strong>of</strong> outdoor air suppliedX2 = Amount <strong>of</strong> air cleanedThe objective function could be configured as follows:M<strong>in</strong> z = C1X1+C2X2+…..CnXn (M<strong>in</strong>imize true costs)Max z = ∆ (cost) / ∆ (exposure) (Cost effectiveness)The potential constra<strong>in</strong>ts are not limited to:ASHRAE Constra<strong>in</strong>t (M<strong>in</strong>imum outdoor air)Productivity Constra<strong>in</strong>t (Maximum productivity)Ventilation Constra<strong>in</strong>t (Maximum energy for condition<strong>in</strong>g OA)Equipment Constra<strong>in</strong>t (Maximum amount <strong>of</strong> air can be cleaned)This phase will also <strong>in</strong>clude the sensitivity analysis <strong>in</strong> order to determ<strong>in</strong>e therange <strong>of</strong> optimality for the model. This will <strong>in</strong>clude the determ<strong>in</strong><strong>in</strong>g the values forthe shadow prices and the reduced costs to present the range <strong>of</strong> optimality. Figure3 represents a basic example for how the model would be structured.

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