Dynamic Programming Approach to a Two Machine Flow Shop Sequencing with Two-Step-Prior-Job Dependent Setup Times
نویسنده
چکیده
The purpose of this study is to develop an effective scheduling methodology for a realistic flow shop sequencing problem. The flow shop consists of two machines where only the first machine has separable, external, and sequence dependent setup times. The length of setup times required for a job depends not on the immediately preceding job but on the job which is two steps prior to it. The problem is solved by a backward dynamic programming with the objective of minimizing the makespan. An optimal schedule is found and its performance is examined through a simulation study.
منابع مشابه
Minimizing the maximum tardiness and makespan criteria in a job shop scheduling problem with sequence dependent setup times
The job shop scheduling problem (JSP) is one of the most difficult problems in traditional scheduling because any job consists of a set operations and also any operation processes by a machine. Whereas the operation is placed in the machine, it is essential to be considering setup times that the times strongly depend on the various sequencing of jobs on the machines. This research is developed ...
متن کاملA fuzzy multi-objective linear programming approach for solving a new multi-objective job shop scheduling with sequence-dependent setup times
This paper presents a new mathematical model for a bi-objective job shop scheduling problem with sequence-dependent setup times that minimizes the weighted mean completion time and the weighted mean tardiness time. For solving this multi-objective model, we develop a fuzzy multi-objective linear programming (FMOLP) model. In this problem, a proposed FMOLP method is applied with respect to the o...
متن کاملCustomer Order Scheduling with Job-Based Processing and Lot Streaming In A Two-Machine Flow Shop
This paper considers a customer order scheduling (COS) problem in which each customer requests a variety of products processed in a two-machine flow shop. A sequence-independent attached setup for each machine is needed before processing each product lot. We assume that customer orders are satisfied by the job-based processing approach in which the same products from different customer orders f...
متن کاملA fuzzy mixed-integer goal programming model for a parallel machine scheduling problem with sequence-dependent setup times and release dates
This paper presents a new mixed-integer goal programming (MIGP) model for a parallel machine scheduling problem with sequence-dependent setup times and release dates. Two objectives are considered in the model to minimize the total weighted flow time and the total weighted tardiness simultaneously. Due to the com-plexity of the above model and uncertainty involved in real-world scheduling probl...
متن کاملA Job Shop Scheduling Problem with Sequence-Dependent Setup Times Considering Position-Based Learning Effects and Availability Constraints
Sequence dependent set-up times scheduling problems (SDSTs), availability constraint and transportation times are interesting and important issues in production management, which are often addressed separately. In this paper, the SDSTs job shop scheduling problem with position-based learning effects, job-dependent transportation times and multiple preventive maintenance activities is studied. ...
متن کامل