Journal ArticleDOI
Scheduling in a Semi-Ordered Flow-shop Without Intermediate Queues
R. K. Arora,S. P. Rana +1 more
TLDR
In this paper, the problem of finding a minimum makespan permutation schedule in a deterministic flow-shop without intermediate queues is equivalent to the shortest distance routing traveling salesman problem, and an algorithm, having quadratic worstcase complexity in terms of the number of partial schedules explicitly enumerated, has been presented.Abstract:
The problem of finding a minimum makespan permutation schedule in a deterministic flow-shop without intermediate queues is equivalent to the shortest distance routing traveling salesman problem. If the task system is semi-ordered, the associated distance matrix of the corresponding traveling salesman problem is found to exhibit some peculiar characteristics. Consequently, we are able to derive some important results which help us to eliminate permutations in the search of the minimum makespan permutation schedule. The most important result is that the optimal permutation schedule is pyramidal. An algorithm, having quadratic worst-case complexity in terms of the number of partial schedules explicitly enumerated, has been presented. Some particular cases of the semi-ordered flow-shop are also discussed.read more
Citations
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Journal ArticleDOI
The Three-Machine No-Wait Flow Shop is NP-Complete
TL;DR: L'atelier d'ecoulement de permutation de la machine 3 n'ayant pas d'attente dans le processus est montre etre NP dur au sens fort.
Journal ArticleDOI
Well-Solvable Special Cases of the Traveling Salesman Problem: A Survey
Rainer E. Burkard,Vladimir G. Deineko,René van Dal,Jack A. A. van,der Veen,Gerhard J. Woeginger +5 more
TL;DR: This survey complements an earlier survey from 1985 compiled by Gilmore, Lawler, and Shmoys and focuses on special cases of the traveling salesman problem that have been obtained during the decade 1985--1995.
Journal ArticleDOI
Review of the ordered and proportionate flow shop scheduling research
TL;DR: A detailed review of ordered and proportionate flow shop models is provided along with some analysis and potential topics for future research.
Journal ArticleDOI
Solvable Cases of the No-Wait Flow-Shop Scheduling Problem
TL;DR: It is shown that NWFSSPs with a mean completion time objective function restricted to semi-ordered processing time matrices are easily solvable while the others are conjectured to be 𝒩𝒫-hard.
Well-solvable special cases of the TSP : a survey
TL;DR: This survey complements an earlier survey from 1985 compiled by Gilmore, Lawler and Shmoys, and surveys special cases of the Traveling Salesman Problem with emphasis on results obtained during the decade 1985-1995.
References
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Book
Introduction to sequencing and scheduling
TL;DR: In this article, the authors present an introduction to Sequencing and Scheduling in the context of the Operational Research Society (ORS) and the International Journal of Distributed Sensor Networks (ILS).
Journal ArticleDOI
On the Flow-Shop Sequencing Problem with No Wait in Process†
S. S. Reddi,C. V. Ramamoorthy +1 more
TL;DR: The optimization problem of minimizing the completion time in flow-shop sequencing with an environment of no intermediate storage with application in computer systems is pointed out and techniques are developed to solve the problem.
Journal ArticleDOI
Solution of the Flowshop-Scheduling Problem with No Intermediate Queues
TL;DR: An algorithm is presented that will minimize the total processing time for a particular case of the n-job, m-machine scheduling problem by modeling it as a traveling-salesman problem and known solution techniques can be employed.
Book ChapterDOI
Sequencing Research and the Industrial Scheduling Problem
TL;DR: Types of industrial scheduling problems were investigated by personal visits to plants and by questionnaires mailed to scheduling departments and results indicate that most of the present procedures in theoretical research cannot handle average industrial problems.
Related Papers (5)
Sequencing a One State-Variable Machine: A Solvable Case of the Traveling Salesman Problem
P. C. Gilmore,Ralph E. Gomory +1 more