Resource allocation scheduling with deteriorating jobs and position-dependent workloads

In this study, we consider the resource allocation scheduling with a deterioration effect and position-dependent workloads concurrently on single machine. The scheduler needs to find optimal sequence such that cost function is minimized. First, focus minimizing linear weighted sum of schedule consumption cost. Second problem minimize subject an upper bound Third Last Pareto-optimal solutions for We proved these problems remain polynomially solvable respectively.