Multiperiod Resource Allocation with Variable Technology

Abstract

Planning the allocation of scarce resources to competing activities over multiple time periods is one of the most important problems facing decision makers in modern organizations. Much of the previous research in this area has concentrated on the use of linear programming procedures and has assumed that the technology through which scarce resource inputs are transformed into competing activity outputs is fixed. A more realistic assumption in many situations is that certain technology coefficients are likely to vary over the planning horizon as a function of activity levels in previous periods. In this paper, a multiperiod resource allocation model with variable technology is formulated. Enriching a more traditional fixed technology model to include variable technology results in a nonlinear model which is more realistic, but is also more difficult to solve. A heuristic procedure that is both straightforward and intuitively appealing is developed for obtaining good feasible solutions to the variable technology model. The solution procedure requires little additional computational effort beyond solving the associated, less realistic fixed technology model.