We study the approximability of minimum total weighted tardiness with a modified objective which includes an additive constant. This ensures the existence of a positive lower bound for the minimum value. Moreover the new objective has a natural interpretation in Just-In-Time production systems.

In this paper we compare simulated annealing and tabu search approaches to a single machine common due date assignment and scheduling problem with jobs available at different times. The objective is to minimize the total weighted sum of earliness, tardiness and due date costs.

This paper studies the flowshop scheduling problem with a complex bicriteria objective function. A weighted sum of makespan and maximum tardiness subject to a maximum tardiness threshold value is to be optimized. This problem, with interesting potential applications in practice, has been sparsely studied in the literature. We propose global and local dominance relationships for the three machin...

This paper investigates an unrelated parallel machine scheduling problem with a restrictive common due date. The objective is to minimize the total sum of earliness/tardiness costs. Using some properties such as V-Shaped property, optimizing start times machines, and no idle time between successive jobs, we propose effective construction-based heuristics local search algorithms for problem. var...

Grid computing facilitates the resource sharing through the administrative domains which are geographically distributed. Scheduling in a distributed heterogeneous environment is intrinsically very hard because of the heterogeneous nature of resource collection. Makespan and tardiness are two different measures of scheduling, and many of the previous researches concentrated much on reduction of ...