skip to main content
article
Free Access

The Three-Machine No-Wait Flow Shop is NP-Complete

Published:30 March 1984Publication History
First page image

References

  1. 1 ARORA, R.K., AND RANA, S.P.Scheduling in a semvordered flow-shop without intermediate queues. AIIE Trans 12 (1980), 263-272.Google ScholarGoogle Scholar
  2. 2 GAREV, M.R., ANt> JOHNSON, D.S.Computers and Intractabdtty W.H. Freeman, San Francisco, 1979.Google ScholarGoogle Scholar
  3. 3 GAREY, M.R., JOHNSON, D.S., AND TARJAN, R.E.The planar Hamfltonian circmt problem is NP- complete. SIAM J Comput 5 (1976), 704--714.Google ScholarGoogle Scholar
  4. 4 GILMORE, P.C., AND GOMORY, R.E.Sequencing a one-state variable machine: A solvable case of the traveling salesman problem. Oper. Res 12 (1964), 655-679.Google ScholarGoogle Scholar
  5. 5 GONZALEZ, T.unit execution time shop problems. Math Oper. Res 7 (1982), 57-66.Google ScholarGoogle Scholar
  6. 6 KANELLAKIS, P.C, AND PAPADIMITRIOU, C.H.Local search for the asymmetric travehng salesman problem. Oper Res 28 (1980), 1086-1099.Google ScholarGoogle Scholar
  7. 7 KARP, R.M.Reducibility among combinatorial problems. In Complextty of Computer Computtons, R.E. Miller and J.W. Thatcher, Eds., Plenum, New York, 1972, pp. 85-104.Google ScholarGoogle Scholar
  8. 8 LENSTRA, J.K., RINNOOY K_AN, A.H.G,, AND BRUCKER, P.Complexity of machine scheduling problems. Ann Disc. Math. 1 (I977), 343-362.Google ScholarGoogle Scholar
  9. 9 PANWALKAR, S.S., AND WOOLLAM, C.R.Ordered flow shop problems with no in-process waiting: Further results. J Oper. Res Soc. 31 (1980), 1039-1043.Google ScholarGoogle Scholar
  10. 10 PAPADIMITRIOU, C.H., AND KANELLAKIS, P.C.Flowshop scheduling with limited temporary storage. J A'CM 27, 3 (July 1980), 533-549. Google ScholarGoogle Scholar
  11. 11 PIEHLER, J. Ein Beitrag zum Reihenfolgeproblem. Unternehmensforschung 4 (1960), 138-142.Google ScholarGoogle Scholar
  12. 12 REDDI, S.S., AND RAMAMOORTHY, C.V.On the flow-shop sequencing problem with no wait in process. J. Oper Res. Soc 23 (1972), 323-331.Google ScholarGoogle Scholar
  13. 13 ROCK, H. Three machine no-wa3t flowshop---Complexity and approximation. Rep. 82-07, Fachbereich Informatik, Technical Univ. of Berhn, Berlin, West Germany, 1982.Google ScholarGoogle Scholar
  14. 14 ROCK, H.Approx~mative methods for some weighted tour problems. Rep. 82-13, Fachbereieh Informatik, Technical Univ. of Berlin, Berlin, West Germany, 1982.Google ScholarGoogle Scholar
  15. 15 ROCK, H.Some new results in no-wait flow shop scheduling. Rep. 83-09, Fachbereieh lnformatik, Technical Umv. of Berlin, Berlin, West Germany, 1983.Google ScholarGoogle Scholar
  16. 16 ROCK, H., AND SCHMIDT, G.Machine aggregation heuristics in shop scheduling. Meth. Oper. Res. 45 (1983), 303-314.Google ScholarGoogle Scholar
  17. 17 SAHNI, S., AND CHO, Y.Complexity of scheduling shops with no wait in process. Math. Oper. ges 4 (1979), 448-457.Google ScholarGoogle Scholar
  18. 18 WISMER, D.A.Solutmn of the flowshop-scheduling problem w~th no intermediate queues. Oper. Res 20 (1972), 689-697.Google ScholarGoogle Scholar

Index Terms

  1. The Three-Machine No-Wait Flow Shop is NP-Complete

              Recommendations

              Comments

              Login options

              Check if you have access through your login credentials or your institution to get full access on this article.

              Sign in

              Full Access

              • Published in

                cover image Journal of the ACM
                Journal of the ACM  Volume 31, Issue 2
                April 1984
                245 pages
                ISSN:0004-5411
                EISSN:1557-735X
                DOI:10.1145/62
                Issue’s Table of Contents

                Copyright © 1984 ACM

                Publisher

                Association for Computing Machinery

                New York, NY, United States

                Publication History

                • Published: 30 March 1984
                Published in jacm Volume 31, Issue 2

                Permissions

                Request permissions about this article.

                Request Permissions

                Check for updates

                Qualifiers

                • article

              PDF Format

              View or Download as a PDF file.

              PDF

              eReader

              View online with eReader.

              eReader