Approximating Two-Machine Flow Shop Problem with Delays When Processing Times Depend Only on Machines
نویسندگان
چکیده
We study the two-machine flow shop problem with (minimum) delays.The current best approximation factor achieved for this problem is 11/6 ≈ 1.833 (due to Karuno and Nagamochi; their algorithm runs in time O(n log n)). Our main result is a 1.628-approximation algorithm for the case when processing times depend only on machines. This case is strongly NP-hard even when all processing times are equal. The running time of our algorithm is O(n).
منابع مشابه
A Mathematical Model for a Flow Shop Scheduling Problem with Fuzzy Processing Times
This paper presents a mathematical model for a flow shop scheduling problem consisting of m machine and n jobs with fuzzy processing times that can be estimated as independent stochastic or fuzzy numbers. In the traditional flow shop scheduling problem, the typical objective is to minimize the makespan). However,, two significant criteria for each schedule in stochastic models are: expectable m...
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 کاملMinimizing 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 کاملElectromagnetism-like algorithm for fuzzy flow shop batch processing machines scheduling to minimize total weighted earliness and tardiness
In this paper, we study a flow shop batch processing machines scheduling problem. The fuzzy due dates are considered to make the problem more close to the reality. The objective function is taken as the weighted sum of fuzzy earliness and fuzzy tardiness. In order to tackle the given problem, we propose a hybrid electromagnetism-like (EM) algorithm, in which the EM is hybridized with a diversi...
متن کاملFuzzy Multi-objective Permutation Flow Shop Scheduling Problem with Fuzzy Processing Times under Learning and Aging Effects
In industries machine maintenance is used in order to avoid untimely machine fails as well as to improve production effectiveness. This research regards a permutation flow shop scheduling problem with aging and learning effects considering maintenance process. In this study, it is assumed that each machine may be subject to at most one maintenance activity during the planning horizon. The objec...
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 2016