MINIMIZING THE MAXIMUM LATENESS IN A SCHEDULING PROBLEM WITH A TIME-DEPENDENT LEARNING EFFECT: A NON-LINEAR PROGRAMMING MODEL

作     者：Eren, Tamer 

作者机构：Kirikkale Univ Endustri Muhendisligi Bolumu TR-71451 Kirikkale Turkey 

出 版 物：《JOURNAL OF THE FACULTY OF ENGINEERING AND ARCHITECTURE OF GAZI UNIVERSITY》 (J. Fac. Eng. Archit. Gazi Uni.)

年 卷 期：2008年第23卷第2期

页      面：459-465页

核心收录：

主　　题：Scheduling maximum lateness time-dependent learning effect non-linear programming model 

摘      要：In traditional scheduling problems, most literature assumes that the processing time of a job is fixed. However, there are many situations where the processing time of a job depends on the starting time or the position of the job in a sequence. In such situations, the actual processing time of a job may be more or less than its normal processing time if it is scheduled later. This phenomenon is known as the learning effect . In this study, we introduce a time-dependent learning effect into a single-machine scheduling problem. The objective function of the problem is minimization of the maximum lateness. This study shows that EDD rule, which guarantees the best solution in classical situation (without learning effect), can not guarantee the best results in the situation with learning effect. In addition, a non-linear programming model is proposed for this problem, and solutions are found for problems which have up to 14 jobs.