Sequential optimization method for transportation planning

A fundamental requirement for pollution control is to quantify the emissions being released through emission values. This report expanded the research of Naguerney (2000) by calculating the coefficient of PM10 (Particulate Matter < 10 micrometers) and incorporating that into both single and multi-period case studies. Sensitivity analysis was done on reducing the emission constraint and noting the changes to the cost for each path. Several observations were made: (1) single and multi-period scenarios of the same case study followed similar patterns with the addition of emission and further reduction of the emission constraint; (2) for fixed demand, separate cost and variable demand, un-separate cost the cheapest path remained the same despite the addition of emission; (3) for variable demand with separate cost scenario there existed two economical paths at 15% emission reduction; (4) emission reductions of > 5% did not affect the optimal path for fixed demand with separate cost systems.