Operations Research Transactions ›› 2013, Vol. 17 ›› Issue (1): 98-105.

• Original Articles • Previous Articles     Next Articles

Single-machine group scheduling problems with the sum-of-processing-time based on learning effect

ZHANG Xingong1   

  1. 1. College of Mathematics Science, Chongqing Normal University
  • Online:2013-03-15 Published:2013-03-15

Abstract: This paper investigates a new group scheduling problem with sum-of-processing-time based learning effect. The learning effect of a job is assumed to be a function of total processing times of jobs scheduled in front of it, the learning effect of group is assumed to a function of its position in the sequence. The goal is to minimize makespan and the total completion times under the proposed model, respectively.  Some optimal properties and optimal polynomial time algorithms to solve these problems are also provided.

Key words: single-machine, learning effect, group technology, makespan, total completion time