Given a project network with a set of tasks to be completed according
to some precedence relationship, the objective is to determine efficie
nt project schedules for a range of project realization times, This pr
oblem is referred to as the time-resource tradeoff problem, Associated
with each task are its normal duration, maximum allowable crash range
, and resource cost per time unit for each resource. A multiple object
ive linear programming (MOLP) model is presented. The time-cost tradeo
ff technique is extended to solve the time-resource tradeoff problem.
The methodology assumes that the project manager's (the decision maker
) utility function over the resource consumption costs is linear with
unknown weights for each resource. Enumerative and interactive algorit
hms utilizing Geoffrion's P(lambda) approach, are presented as solutio
n techniques, It is demonstrated that both versions have desirable com
putational times.