Da. Niemeier et al., OPTIMIZATION MODELS FOR TRANSPORTATION PROJECT PROGRAMMING PROCESS, Journal of transportation engineering, 121(1), 1995, pp. 14-26
Five optimization models are constructed for selecting an optimal subs
et of projects submitted for a statewide programming process. Our appr
oach develops models that are consistent with user needs and appropria
te for the assumptions used in the project prioritization process. Eac
h of the models builds on a basic linear-programming formulation in wh
ich a maximization of benefits and minimization of costs is desired. T
he five models include the following: a priority index that provides a
ranking of projects but does not directly facilitate trade-offs betwe
en project costs and the ranks (model 1); a model that incorporates a
formal approach to making trade-offs between rank and cost (model 2);
a model that explicitly includes policy objectives by setting a fixed
goal for each objective (model 3); a model that includes a strict budg
et constraint in addition to requiring that funded projects equal or e
xceed a fixed goal for each policy objective (model 4); and finally, a
model that combines the relative rankings and a budgetary constraint
(model 5). Models 2-5 are developed in both a continuous and integer v
ariable format, thus generating nine optimization approaches. Models 4
and 5 also introduce a method for determining the improvement in the
overall transportation-system performance, given the current budget an
d decision-maker objectives.