The bounded interval generalized assignment model

The bounded interval generalized assignment model is a “many‐for‐one” assignment model. Each task must be assigned to exactly one agent; however, each agent can be assigned multiple tasks as long as the agent resource consumed by performing the assigned tasks falls within a specified interval. The bounded interval generalized assignment model is formulated, and an algorithm for its solution is developed. Algorithms for the bounded interval versions of the semiassignment model and sources‐to‐uses transportation model are also discussed.