Time complexity and linear-time approximation of the ancient two-machine flow shop
نویسندگان
چکیده
منابع مشابه
Start Project Y43-mat Combinatorial Approximation Algorithms Time Complexity and Linear-time Approximation of the Ancient Two Machine Flow Shop Time Complexity and Linear-time Approximation of the Ancient Two Machine Ow Shop
We consider the scheduling problems F 2 j j C max and F 2 j no-wait j C max , i.e. makespan minimization in a two machine ow shop, with and without no wait in process. For both problems solution algorithms based on sorting with O(n log n) running time are known, where n denotes the number of jobs Johnson 1954, Gilmore & Gomory 1964]. We prove that no asymptotically faster algorithms can solve t...
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Two machine Flow shop with transportation time
We present a scheduling problem of the flow-shop type. We introduce a transportation system: robot or conveyor. This transportation system is also involved in machine loading and unloading. The studied workshop consists of two machines and a conveyor that must process a set of tasks. Tasks having just been executed wait for the conveyor to be transported. The objective is to determine a feasibl...
متن کاملMinimizing Makespan with Start Time Dependent Jobs in a Two Machine Flow Shop
[if gte mso 9]> The purpose of this paper is to consider the problem of scheduling a set of start time-dependent jobs in a two-machine flow shop, in which the actual processing times of jobs increase linearly according to their starting time. The objective of this problem is to minimize the makespan. The problem is known to be NP-hardness[ah1] ; therefore, there is no polynomial-time algorithm...
متن کاملInvestigation of the two-machine flow shop scheduling problem to minimize total energy costs with time-dependent energy prices
In this paper, the problem of two-machine flow shop scheduling to minimize total energy costs under time-of-use tariffs is investigated. As the objective function of this study is not a regular measure, allowing intentional idle-time can be advantageous. So this study considers two approaches, one for non-delay version of the problem and the other one for a situation when inserting intentional ...
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ژورنال
عنوان ژورنال: Journal of Scheduling
سال: 1998
ISSN: 1094-6136,1099-1425
DOI: 10.1002/(sici)1099-1425(1998100)1:3<149::aid-jos10>3.0.co;2-4