Lagrangean Relaxation for Minimizing the Weighted Number of Late Jobs on Parallel Machines
نویسندگان
چکیده
This paper presents a Lagrangean relaxation approach for solving a parallel machine scheduling problem where the objective function is to minimize the weighted number of late jobs. The approach is an extension of an approach that has been successfully applied to the one-machine case. It is the first method that gives lower bounds to the problem when an exact solution cannot be found.
منابع مشابه
Parallel Jobs Scheduling with a Specific Due Date: Asemi-definite Relaxation-based Algorithm
This paper considers a different version of the parallel machines scheduling problem in which the parallel jobs simultaneously requirea pre-specifiedjob-dependent number of machines when being processed.This relaxation departs from one of the classic scheduling assumptions. While the analytical conditions can be easily statedfor some simple models, a graph model approach is required when confli...
متن کاملFuzzy Programming for Parallel Machines Scheduling: Minimizing Weighted Tardiness/Earliness and Flow Time through Genetic Algorithm
Appropriate scheduling and sequencing of tasks on machines is one of the basic and significant problems that a shop or a factory manager encounters; this is why in recent decades extensive studies have been done on scheduling issues. One type of scheduling problems is just-in-time (JIT) scheduling and in this area, motivated by JIT manufacturing, this study investigates a mathematical model for...
متن کاملSolving the Problem of Scheduling Unrelated Parallel Machines with Limited Access to Jobs
Nowadays, by successful application of on time production concept in other concepts like production management and storage, the need to complete the processing of jobs in their delivery time is considered a key issue in industrial environments. Unrelated parallel machines scheduling is a general mood of classic problems of parallel machines. In some of the applications of unrelated parallel mac...
متن کاملSolving the Problem of Scheduling Unrelated Parallel Machines with Limited Access to Jobs
Nowadays, by successful application of on time production concept in other concepts like production management and storage, the need to complete the processing of jobs in their delivery time is considered a key issue in industrial environments. Unrelated parallel machines scheduling is a general mood of classic problems of parallel machines. In some of the applications of unrelated parallel mac...
متن کاملUsing Lagrangean Relaxation to Minimize the ( Weighted ) Number of Late Jobs
This paper tackles the general single machine scheduling problem, where jobs have di erent release and due dates and the objective is to minimize the weighted number of late jobs. The notion of master sequence is rst introduced, i.e., a sequence that contains at least an optimal sequence of jobs on time. This master sequence is used to derive an original mixed-integer linear programming formula...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2002