Abstract
In this paper, we deal with a special case of the two-machine flow shop scheduling problem with several availability constraints on the second machine, under the resumable scenario. We develop an improved algorithm with a relative worst-case error bound of 4/3.
Similar content being viewed by others
References
Breit J.: An improved approximation algorithm for two-machine flow shop scheduling with an availability constraint. Inf. Process. Lett. 90, 273–278 (2004)
Breit J., Schmidt G., Strusevich V.A.: Non-preemptive two-machine open shop scheduling with non-availability constraints. Math. Methods Oper. Res. 57, 217–234 (2003)
Cheng T.C.E., Wang G.: An improved heuristic for two-machine flowshop scheduling with an availability constraint. Oper. Res. Lett. 26, 223–229 (2000)
Cheng T.C.E., Wang G.: Two-machine flow shop scheduling with consecutive availability constraints. Inf. Process. Lett. 71, 49–54 (1999)
Johnson S.M.: Optimal two- and three-stage production schedules with setup times included. Res. Log. Q. 1, 61–68 (1954)
Kubiak W., Blazewicz J., Formanowicz P., Breit J., Schmidt G.: Two-machine flow shops with limited machine availability. Eur. J. Oper. Res. 136, 528–540 (2002)
Kubzin M.A., Potts C.N., Strusevich V.A.: Approximation results for flow shop scheduling problems with machine availability constraints. Comput. Oper. Res. 36, 379–390 (2009)
Lee C.Y.: Minimizing the makespan in the two-machine flow shop scheduling problem with an availability constraint. Oper. Res. Lett. 20, 129–139 (1997)
Lee C.Y.: Two-machine flowshop scheduling with availability constraints. Eur. J. Oper. Res. 114, 420–429 (1999)
Ng C.T., Kovalyov M.Y.: An FPTAS for scheduling a two-machine flowshop with one unavailability interval. Naval Res. Log. 51, 307–315 (2004)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Hadda, H. A \({(\frac 4 3) -}\) approximation algorithm for a special case of the two machine flow shop problem with several availability constraints. Optim Lett 3, 583–592 (2009). https://doi.org/10.1007/s11590-009-0137-6
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11590-009-0137-6