This paper deals with the problem of scheduling jobs and rate-modifying activities on parallel machines, motivated by a problem commonly found in the surface-mount technology of electronic assembly lines. A rate-modifying activity involving repair, ...
This paper deals with the problem of scheduling jobs and rate-modifying activities on parallel machines, motivated by a problem commonly found in the surface-mount technology of electronic assembly lines. A rate-modifying activity involving repair, maintenance and readjust is an activity that changes the production rate of equipment under consideration. In this paper, the processing time of a job scheduled before the activity is equal in each parallel machines. On the other hand, if the job is scheduled after the rate-modifying activity than the process time depends on the modifying rate of the activity. Our purpose is to schedule the rate-modifying activities and jobs to minimize the makespan on parallel machines which is NP-hard. We propose a branch and bound algorithm to solve medium size problems optimally. Also we develop three heuristics, Modified Longest Processing Time (MLPT), MULTIFIT and COMBINE algorithms to solve large size problems.