A single machine scheduling problem is described which covers earliness costs, tardiness costs and setup costs. Setups are needed whenever a switch is made to a job of another product family. All jobs within the same product family have the same processing time. Besides setup costs also setup times are involved. Idle time is allowed, preemption is not allowed. Both a mixed integer programming f...

This study proposes an exact algorithm for the precedence-constrained singlemachine scheduling problem to minimize total job completion cost where machine idle time is forbidden. The proposed algorithm is an extension of the authors’ previous algorithms for the problem without precedence-constraints and is based on the SSDP (Successive Sublimation Dynamic Programming) method. Numerical experime...

In this paper, single machine scheduling problems with sequence dependent setup times are considered. The objective is to minimize the total weighted tardiness. The single machine total weighted tardiness (SMTWT) scheduling problems with sequence dependent setup times were proved to be strongly NP-hard. A recently developed meta-heuristic algorithm called as crow search algorithm is proposed to...

A novel algorithm for one machine scheduling to minimize total weighted earliness and tardiness using particle swarm optimization is proposed. Existing techniques face challenges such as job size limitations increase in computational time and inaccurate solutions. To overcome these challenges the proposed work implements Meta-Heuristic based particle swarm optimization to optimize the total wei...

This paper deals with a common due date parallel machines scheduling problem in which each job has a different tardiness penalty. The objective is to minimize the total weighted tardiness. The scheduling problem of minimizing the total weighted tardiness with a common due date on a single machine is known to be ordinary NP-hard. This is also the case for problem Pm|di = d| ∑ wiTi. A new dynamic...

This paper gives the positive answer to the question posed in the title for a wide class of minimization criteria including the maximum completion time, maximum lateness , total completion time, total weighted completion time, total tardiness, total weighted tardiness, number of late jobs and the weighted number of late jobs. That is any scheduling problem for m identical parallel machines to m...