We consider the parallel machine scheduling problem where jobs have different earlinesstardiness penalties and a restrictive common due date. This problem is NP-hard in the strong sense. In this paper we define an exponential size neighborhood for this problem and prove that finding the local minimum in it is an NP-hard problem. The main contribution of this paper is to propose a pseudo-polynom...

This paper proposes an efficient exact algorithm for the general single-machine scheduling problem where machine idle time is permitted. The algorithm is an extension of the authors’ previous algorithm for the problem without machine idle time, which is based on the SSDP (Successive Sublimation Dynamic Programming) method. We first extend our previous algorithm to the problem with machine idle ...

Problem statement: In this research, we addressed the problem of minimizing the earlinesstardiness penalties and manufacturing costs of a single machine with a stochastic controllable processing and tooling cost. Approach: We developed a mathematical non-linear integer programming model and its linearised version to find the optimal solution. We introduced a new genome representation in single ...