A Note on Two-Agent Scheduling with Resource Dependent Release Times on a Single Machine

Abstract EN

We consider a scheduling problem in which both resource dependent release times and two agents exist simultaneously.

Two agents share a common single machine, and each agent wants to minimize a cost function dependent on its own jobs.

The release time of each A-agent’s job is related to the amount of resource consumed.

The objective is to find a schedule for the problem of minimizing A-agent’s total amount of resource consumption with a constraint on B-agent’s makespan.

The optimal properties and the optimal polynomial time algorithm are proposed to solve the scheduling problem.