A state-of-the-art review of parallel-machine scheduling research
TL;DR: The major research results in deterministic parallel-machine scheduling theory will pass a survey and it is revealed that there exist a lot of potential areas worthy of further research.
About: This article is published in European Journal of Operational Research.The article was published on 1990-08-15. It has received 499 citations till now. The article focuses on the topics: Scheduling (production processes) & Scheduling (computing).
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TL;DR: A unified framework of the common due date assignment and scheduling problems in the deterministic case is provided by surveying the literature concerning the models involving single machine and parallel machines by finding an optimal value of thecommon due date and the related optimal schedule.
436 citations
01 Jan 1998
TL;DR: This work focuses on deterministic machine scheduling for which it is assumed that all data that define a problem instance are known with certainty.
Abstract: The scheduling of computer and manufacturing systems has been the subject of extensive research for over forty years. In addition to computers and manufacturing, scheduling theory can be applied to many areas including agriculture, hospitals and transport. The main focus is on the efficient allocation of one or more resources to activities over time. Adopting manufacturing terminology, a job consists of one or more activities, and a machine is a resource that can perform at most one activity at a time. We concentrate on deterministic machine scheduling for which it is assumed that all data that define a problem instance are known with certainty.
336 citations
Cites methods from "A state-of-the-art review of parall..."
...A survey of results for parallel machine scheduling, including both preemptive and non-preemptive models, is given by Cheng & Sin [104]....
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TL;DR: An assignment model with resource capacity and time-window additive constraints is proposed to solve heuristically this problem, and an extension of the Hungarian method has been developed to calculate the operating theatre planning.
325 citations
TL;DR: In this article, an exact hybrid solution procedure, called BISON, is proposed for solving BPP-1, which combines the well-known meta-strategy tabu search and a branch and bound procedure based on known and new bound arguments and a new branching scheme.
263 citations
Posted Content•
TL;DR: For solving BPP-1, an exact hybrid solution procedure, called BISON, is proposed, which favourably combines the well-known meta-strategy tabu search and a branch and bound procedure based on known and new bound arguments and a new branching scheme.
Abstract: In this paper, we consider the well-known one-dimensional bin packing problem (BPP-1), which is to pack a given set of items having different sizes into a minimum number of equal-sized bins. For solving BPP-1, an exact hybrid solution procedure, called BISON, is proposed. It favourably combines the well-known meta-strategy tabu search and a branch and bound procedure based on known and new bound arguments and a new branching scheme. Computational results indicate that BISON is very effective and outperforms existing approaches.
261 citations
References
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01 Jan 1979
42,654 citations
Book•
01 Jan 1979
TL;DR: The second edition of a quarterly column as discussed by the authors provides a continuing update to the list of problems (NP-complete and harder) presented by M. R. Garey and myself in our book "Computers and Intractability: A Guide to the Theory of NP-Completeness,” W. H. Freeman & Co., San Francisco, 1979.
Abstract: This is the second edition of a quarterly column the purpose of which is to provide a continuing update to the list of problems (NP-complete and harder) presented by M. R. Garey and myself in our book ‘‘Computers and Intractability: A Guide to the Theory of NP-Completeness,’’ W. H. Freeman & Co., San Francisco, 1979 (hereinafter referred to as ‘‘[G&J]’’; previous columns will be referred to by their dates). A background equivalent to that provided by [G&J] is assumed. Readers having results they would like mentioned (NP-hardness, PSPACE-hardness, polynomial-time-solvability, etc.), or open problems they would like publicized, should send them to David S. Johnson, Room 2C355, Bell Laboratories, Murray Hill, NJ 07974, including details, or at least sketches, of any new proofs (full papers are preferred). In the case of unpublished results, please state explicitly that you would like the results mentioned in the column. Comments and corrections are also welcome. For more details on the nature of the column and the form of desired submissions, see the December 1981 issue of this journal.
40,020 citations
01 Jan 1972
TL;DR: Throughout the 1960s I worked on combinatorial optimization problems including logic circuit design with Paul Roth and assembly line balancing and the traveling salesman problem with Mike Held, which made me aware of the importance of distinction between polynomial-time and superpolynomial-time solvability.
Abstract: Throughout the 1960s I worked on combinatorial optimization problems including logic circuit design with Paul Roth and assembly line balancing and the traveling salesman problem with Mike Held. These experiences made me aware that seemingly simple discrete optimization problems could hold the seeds of combinatorial explosions. The work of Dantzig, Fulkerson, Hoffman, Edmonds, Lawler and other pioneers on network flows, matching and matroids acquainted me with the elegant and efficient algorithms that were sometimes possible. Jack Edmonds’ papers and a few key discussions with him drew my attention to the crucial distinction between polynomial-time and superpolynomial-time solvability. I was also influenced by Jack’s emphasis on min-max theorems as a tool for fast verification of optimal solutions, which foreshadowed Steve Cook’s definition of the complexity class NP. Another influence was George Dantzig’s suggestion that integer programming could serve as a universal format for combinatorial optimization problems.
7,714 citations
TL;DR: In this article, the authors survey the state of the art with respect to optimization and approximation algorithms and interpret these in terms of computational complexity theory, and indicate some problems for future research and include a selective bibliography.
Abstract: The theory of deterministic sequencing and scheduling has expanded rapidly during the past years. In this paper we survey the state of the art with respect to optimization and approximation algorithms and interpret these in terms of computational complexity theory. Special cases considered are single machine scheduling, identical, uniform and unrelated parallel machine scheduling, and open shop, flow shop and job shop scheduling. We indicate some problems for future research and include a selective bibliography.
5,030 citations
Book•
01 Jan 1974
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).
Abstract: (1977). Introduction to Sequencing and Scheduling. Journal of the Operational Research Society: Vol. 28, No. 2, pp. 352-353.
2,640 citations