Abstract
We consider a nonpreemptive single machine common due window scheduling problem where the job processing times are controllable with linear costs and the due window is movable. The objective is to find a job sequence, a processing time for each job, and a position of the common due window to minimize the total cost of weighted earliness/tardiness and processing time compression. We discuss some properties of the optimal solutions and provide a polynomial time algorithm to solve the problem.
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References
Ahuja, R.K., Magnanti, T.L., Orlin, J.B.: Network Flows: Theory, Algorithms, and Applications. Prentice-Hall, Englewood Cliffs (1993)
Alidaee, B., Kochenberger, G.A.: A framework for machine scheduling problems with controllable processing times. Production and Operations Management 5, 391–405 (1996)
Baker, K., Scudder, G.: Sequencing with earliness and tardiness penalties: A review. Operations Research 38, 22–36 (1990)
Biskup, D., Jahnke, H.: Common due date assignment for scheduling on a single machine with jointly reducible processing times. International Journal of Production Economics 69, 317–322 (2001)
Cheng, T.C.E.: Optimal common due-date with limited completion time deviation. Computers and Operations Research 15, 91–96 (1988)
Daniels, R.L., Sarin, R.K.: Single machine scheduling with controllable processing times and number of jobs tardy. Operations Research 37, 981–984 (1989)
Dickman, B., Wilamowsky, Y., Epstain, S.: Optimal common due-date with limited completion time. Computers and Operations Research 39, 125–127 (1991)
Hall, N.G., Posner, M.E.: Earliness-tardiness scheduling problems (I). Operations Research 39, 836–846 (1991)
Hall, N.G., Kubiak, W., Sethi, S.P.: Earliness-tardiness scheduling problems (II). Operations Research 39, 847–856 (1991)
Jansen, K., Mastrolilli, M., Solis-Oba, R.: Approximation schemes for job shop scheduling problems with controllable processing times. European Journal of Operational Research 167, 297–319 (2005)
Kanet, J.J.: Minimize the average deviation of job completion times about a common due date. Naval Research Logistics 28, 643–651 (1981)
Kaspi, M., Shabtay, D.: A bicriterion approach to time/cost trade-offs in scheduling with convex resource-dependent job processing times and release dates. Computers and Operations Research 33, 3015–3033 (2006)
Kramer, F.J., Lee, C.Y.: Common due window scheduling. Production and Operations Management 2, 262–275 (1993)
Kramer, F.J., Lee, C.Y.: Due window scheduling for parallel machines. Mathematics and Computer Modelling 20, 69–89 (1994)
Lee, C.Y.: Earliness-tardiness scheduling problems with constant size of due window. Research Report, Dept. of Industrial and Systems Engineering, University of Florida (1991)
Liman, S.D., Rawaswamy, S.: Earliness-tardiness scheduling problems with a common delivery window. Operations Research Letters 15, 195–203 (1994)
Liman, S.D., Panwalkar, S.S., Thongmee, S.: Determination of common due window location in a single machine scheduling problem. European Journal of Operational Research 93, 68–74 (1996)
Liman, S.D., Panwalkar, S.S., Thongmee, S.: A single machine scheduling problem with common due window and controllable processing times. Annals of Operations Research 70, 145–154 (1997)
Liman, S.D., Panwalkar, S.S., Thongmee, S.: Common due window size and location determination in a single machine scheduling problem. Journal of the Operational Research Society 49, 1007–10 (1998)
Ng, C.T., Cheng, T.C.E., Janiak, A., Kovalyov, M.Y.: Group Scheduling with Controllable Setup and Processing Times: Minimizing Total Weighted Completion Time. Annals of Operations Research 133, 163–174 (2005)
Nowicki, E., Zdrzalka, S.: A survey of results for sequencing problems with controllable processing times. Discrete Applied Mathematics 26, 271–287 (1990)
Panwalkar, S.S., Rajagopalan, R.: Single machine sequencing with controllable processing times. European Journal of Operational Research 59, 298–302 (1992)
Panwalkar, S.S., Smith, M.L., Seidmann, A.: Common due date assignment to minimize total penalty for the one machine scheduling problem. Operations Research 30, 391–399 (1982)
Thongmee, S., Liman, S.D.: Common due window size determination in a single machine scheduling problem. Research Report, Dept. of Industrial Engineering, Texas Tech. University (1995)
Vickson, R.G.: Two single machine sequencing problem involving controllable job processing times. AIIE Transactions 12, 258–262 (1980a)
Vickson, R.G.: Choosing the sequence and processing times to minimize total processing plus flow cost on a single machine. Operations Research 28, 1155–1167 (1980b)
Van Wassenhove, L.N., Baker, K.: A Bicriterion approach to time/cost trade-offs in sequencing. European Journal of Operational Research 11, 48–54 (1982)
Wan, G., Yen, B.P.C.: Tabu search for single machine scheduling with distinct due windows and weighted earliness/tardiness penalties. European Journal of Operational Research 142, 271–281 (2002)
Weng, M.X., Ventura, J.A.: A note on Common due window Scheduling. Production and Operations Management 5, 194–200 (1996)
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Wan, G. (2007). Single Machine Common Due Window Scheduling with Controllable Job Processing Times. In: Dress, A., Xu, Y., Zhu, B. (eds) Combinatorial Optimization and Applications. COCOA 2007. Lecture Notes in Computer Science, vol 4616. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73556-4_30
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DOI: https://doi.org/10.1007/978-3-540-73556-4_30
Publisher Name: Springer, Berlin, Heidelberg
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