A note on two-agent scheduling with resource dependent release times on a single machine (Q1723365)

Summary: 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.