A bicriteria scheduling problem with a learning effect: Total completion time and total tardiness

Abstract

This paper considers a bicriteria scheduling problem with a learning effect on a single machine to minimize a weighted sum of total completion time and total tardiness. A mathematical programming model is developed for the problem, and optimal solutions are only obtained up to 25 jobs. Since the problem is NP-hard, heuristic methods based on tabu search and random search are proposed to solve large size problems, and their effectiveness is comparatively investigated considering 3600 problems.