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2012 | OriginalPaper | Buchkapitel

1. Scheduling to Maximize the Number of Just-in-Time Jobs: A Survey

verfasst von : Dvir Shabtay, George Steiner

Erschienen in: Just-in-Time Systems

Verlag: Springer New York

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Abstract

In just-in-time (JIT) scheduling, the usual objective is to minimize a cost function which includes a penalty for both the early and tardy completion of jobs. In this paper, we survey results for a cost function that is related to the number of early and tardy jobs rather than the actual earliness and tardiness values. More specifically, we study the problem of maximizing the weighted number of jobs which are completed exactly on their due date (i.e., in JIT mode). Our survey covers the literature for various scheduling environments both with fixed and controllable processing times. We also describe several new algorithms for certain flow-shop problems.

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Literatur
1.
Zurück zum Zitat Alidaee, B., Ahmadian, A.: Two Parallel Machine Sequencing Problems Involving Controllable Job Processing Times. European Journal of Operational Research 70, 335-341 (1993)MATHCrossRef Alidaee, B., Ahmadian, A.: Two Parallel Machine Sequencing Problems Involving Controllable Job Processing Times. European Journal of Operational Research 70, 335-341 (1993)MATHCrossRef
2.
Zurück zum Zitat Arkin, E.M., Silverberg, E.L.: Scheduling Jobs with Fixed Start and Finish Times. Discrete Applied Mathematics 18, 1-8 (1987)MATHCrossRefMathSciNet Arkin, E.M., Silverberg, E.L.: Scheduling Jobs with Fixed Start and Finish Times. Discrete Applied Mathematics 18, 1-8 (1987)MATHCrossRefMathSciNet
3.
Zurück zum Zitat Baker, K.R., Scudder, G.D.: Sequencing with Earliness and Tardiness Penalties: A Review. Operations Research 38, 22-36 (1990)MATHCrossRefMathSciNet Baker, K.R., Scudder, G.D.: Sequencing with Earliness and Tardiness Penalties: A Review. Operations Research 38, 22-36 (1990)MATHCrossRefMathSciNet
4.
5.
Zurück zum Zitat Carlisle, M.C., Lloyd, E.L.: On the k-coloring of Intervals. Discrete Applied Mathematics 59, 225-235 (1995)MATHMathSciNet Carlisle, M.C., Lloyd, E.L.: On the k-coloring of Intervals. Discrete Applied Mathematics 59, 225-235 (1995)MATHMathSciNet
6.
Zurück zum Zitat Cheng, T.C.E., Janiak, A., Kovalyov, M.Y.: Bicriterion Single Machine Scheduling with Resource Dependent Processing Times. SIAM Journal on Optimization 8(2), 617-630 (1998)MATHCrossRefMathSciNet Cheng, T.C.E., Janiak, A., Kovalyov, M.Y.: Bicriterion Single Machine Scheduling with Resource Dependent Processing Times. SIAM Journal on Optimization 8(2), 617-630 (1998)MATHCrossRefMathSciNet
7.
Zurück zum Zitat Choi, B.C., Yoon, S.H.: Maximizing the Weighted Number of Just-in-Time Jobs in Flow Shop Scheduling. Journal of Scheduling 10, 237-243 (2007)MATHCrossRefMathSciNet Choi, B.C., Yoon, S.H.: Maximizing the Weighted Number of Just-in-Time Jobs in Flow Shop Scheduling. Journal of Scheduling 10, 237-243 (2007)MATHCrossRefMathSciNet
8.
Zurück zum Zitat Čepek, O., Sung, S. C.: A Quadratic Time Algorithm to Maximize the Number of Just-in-Time Jobs on Identical Parallel Machines. Computers and Operations Research 32, 3265-3271 (2005)MATHCrossRefMathSciNet Čepek, O., Sung, S. C.: A Quadratic Time Algorithm to Maximize the Number of Just-in-Time Jobs on Identical Parallel Machines. Computers and Operations Research 32, 3265-3271 (2005)MATHCrossRefMathSciNet
9.
Zurück zum Zitat Chudzik, K., Janiak, A., Lichtenstein, M.: Scheduling Problems with Resource Allocation. In A. Janiak, ed., Scheduling in Computer and Manufacturing Systems, WK L, Warszawa (2006) Chudzik, K., Janiak, A., Lichtenstein, M.: Scheduling Problems with Resource Allocation. In A. Janiak, ed., Scheduling in Computer and Manufacturing Systems, WK L, Warszawa (2006)
10.
Zurück zum Zitat Frank, A.: On Chains and Antichains Families of a Partially Ordered Set. Journal of Combinatorial Theory Series B 29, 176-184 (1980)MATHCrossRefMathSciNet Frank, A.: On Chains and Antichains Families of a Partially Ordered Set. Journal of Combinatorial Theory Series B 29, 176-184 (1980)MATHCrossRefMathSciNet
11.
Zurück zum Zitat Graham, R.L., Lawler, E.L., Lenstra, J.K., Rinnooy Kan, A.H.G.: Optimization and Approximation in Deterministic Sequencing and Scheduling: A Survey. Annals Discrete Mathematics 5, 287-326 (1979) Graham, R.L., Lawler, E.L., Lenstra, J.K., Rinnooy Kan, A.H.G.: Optimization and Approximation in Deterministic Sequencing and Scheduling: A Survey. Annals Discrete Mathematics 5, 287-326 (1979)
12.
Zurück zum Zitat Hsiao, J.Y., Tang, C.Y., Chang, R.S.: An Efficient Algorithm for Finding a Maximum Weight 2-independent Set of Interval Graphs. Information Processing Letters 43, 229-235 (1992)MATHCrossRefMathSciNet Hsiao, J.Y., Tang, C.Y., Chang, R.S.: An Efficient Algorithm for Finding a Maximum Weight  2-independent Set of Interval Graphs. Information Processing Letters 43, 229-235 (1992)MATHCrossRefMathSciNet
13.
Zurück zum Zitat Hiraishi, K., Levner, E., Vlach, M.: Scheduling of Parallel Identical Machines to Maximize the Weighted Number of Just-in-Time Jobs. Computers and Operations Research 29(7), 841-848 (2002)MATHCrossRefMathSciNet Hiraishi, K., Levner, E., Vlach, M.: Scheduling of Parallel Identical Machines to Maximize the Weighted Number of Just-in-Time Jobs. Computers and Operations Research 29(7), 841-848 (2002)MATHCrossRefMathSciNet
14.
Zurück zum Zitat Janiak, A.: One-Machine Scheduling with Allocation of Continuously-Divisible Resource and with No Precedence Constraints. Kybernetika 23(4), 289-293 (1987)MATHMathSciNet Janiak, A.: One-Machine Scheduling with Allocation of Continuously-Divisible Resource and with No Precedence Constraints. Kybernetika 23(4), 289-293 (1987)MATHMathSciNet
15.
Zurück zum Zitat Janiak, A., Kovalyov, M.Y.: Single Machine Scheduling Subject to Deadlines and Resource Dependent Processing Times. European Journal of Operational Research 94, 284-291 (1996)MATHCrossRef Janiak, A., Kovalyov, M.Y.: Single Machine Scheduling Subject to Deadlines and Resource Dependent Processing Times. European Journal of Operational Research 94, 284-291 (1996)MATHCrossRef
16.
Zurück zum Zitat Janiak, A., Janiak, W., Lichtenstein, M.: Resource Management in Machine Scheduling Problems: A Survey. Decision Making in Manufacturing and Services 1, 59-89 (2007)MATHMathSciNet Janiak, A., Janiak, W., Lichtenstein, M.: Resource Management in Machine Scheduling Problems: A Survey. Decision Making in Manufacturing and Services 1, 59-89 (2007)MATHMathSciNet
17.
Zurück zum Zitat Józefowska, J.: Just-in-time Scheduling: Models and Algorithms for Computer and Manufacturing Systems, Springer-Verlag New York Inc (2007) Józefowska, J.: Just-in-time Scheduling: Models and Algorithms for Computer and Manufacturing Systems, Springer-Verlag New York Inc (2007)
18.
Zurück zum Zitat Kaspi, M., Shabtay, D.: Optimization of Machining Economics Problem for a Multi-Stage Transfer Machine Under Failure, Opportunistic and Integrated Replacement Strategies. International Journal of Production Research 41(10), 2229-2248 (2003)MATHCrossRef Kaspi, M., Shabtay, D.: Optimization of Machining Economics Problem for a Multi-Stage Transfer Machine Under Failure, Opportunistic and Integrated Replacement Strategies. International Journal of Production Research 41(10), 2229-2248 (2003)MATHCrossRef
19.
Zurück zum Zitat Kayan, R.K., Akturk, M.S.: A New Bounding Mechanism for the CNC Machine Scheduling Problem with Controllable Processing Times. European Journal of Operational Research 167, 624-643 (2005)MATHCrossRefMathSciNet Kayan, R.K., Akturk, M.S.: A New Bounding Mechanism for the CNC Machine Scheduling Problem with Controllable Processing Times. European Journal of Operational Research 167, 624-643 (2005)MATHCrossRefMathSciNet
20.
Zurück zum Zitat Kovalyov, M.Y., Ng, C.T., Cheng, T.C.E.: Fixed Interval Scheduling: Models, Applications, Computational Complexity and Algorithms. European Journal of Operational Research 178, 331-342 (2007)MATHCrossRefMathSciNet Kovalyov, M.Y., Ng, C.T., Cheng, T.C.E.: Fixed Interval Scheduling: Models, Applications, Computational Complexity and Algorithms. European Journal of Operational Research 178, 331-342 (2007)MATHCrossRefMathSciNet
21.
Zurück zum Zitat Lann, A., Mosheiov, G.: Single Machine Scheduling to Minimize the Number of Early and Tardy Jobs. Computers and Operations Research 23, 765-781 (1996)CrossRef Lann, A., Mosheiov, G.: Single Machine Scheduling to Minimize the Number of Early and Tardy Jobs. Computers and Operations Research 23, 765-781 (1996)CrossRef
22.
Zurück zum Zitat Leyvand Y., Shabtay, D., Steiner, G., Yedidsion, L.: Just-in-Time Scheduling with Controllable Processing Times on Parallel Machines. Journal of Combinatorial Optimization 19(3), 347-368 (2010)MATHCrossRefMathSciNet Leyvand Y., Shabtay, D., Steiner, G., Yedidsion, L.: Just-in-Time Scheduling with Controllable Processing Times on Parallel Machines. Journal of Combinatorial Optimization 19(3), 347-368 (2010)MATHCrossRefMathSciNet
23.
Zurück zum Zitat Ng, C.T.D., 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)MATHCrossRefMathSciNet Ng, C.T.D., 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)MATHCrossRefMathSciNet
24.
Zurück zum Zitat Nowicki, E., Zdrzalka, S.: A Survey of Results for Sequencing Problems with Controllable Processing Times. Discrete Applied Mathematics 26, 271-287 (1990)MATHCrossRefMathSciNet Nowicki, E., Zdrzalka, S.: A Survey of Results for Sequencing Problems with Controllable Processing Times. Discrete Applied Mathematics 26, 271-287 (1990)MATHCrossRefMathSciNet
25.
Zurück zum Zitat Pal, M., Bhattacharjee, G.P.: A Sequential Algorithm for Finding a Maximum Weight K-independent Set on Interval Graphs. International Journal of Computer Mathematics 60, 205-214 (1996)MATHCrossRef Pal, M., Bhattacharjee, G.P.: A Sequential Algorithm for Finding a Maximum Weight K-independent Set on Interval Graphs. International Journal of Computer Mathematics 60, 205-214 (1996)MATHCrossRef
26.
Zurück zum Zitat Saha, A., Pal, M.: Maximum Weight k-independent Set Problem on Permutation Graphs. International Journal of Computer Mathematics 80, 1477-1487 (2003)MATHCrossRefMathSciNet Saha, A., Pal, M.: Maximum Weight k-independent Set Problem on Permutation Graphs. International Journal of Computer Mathematics 80, 1477-1487 (2003)MATHCrossRefMathSciNet
27.
28.
Zurück zum Zitat Shabtay, D.: Single and a Two-Resource Allocation Algorithms for Minimizing the Maximal Lateness in a Single Machine-Scheduling Problem. Computers and Operations Research, 31(8), 1303-1315 (2004)MATHCrossRef Shabtay, D.: Single and a Two-Resource Allocation Algorithms for Minimizing the Maximal Lateness in a Single Machine-Scheduling Problem. Computers and Operations Research, 31(8), 1303-1315 (2004)MATHCrossRef
29.
Zurück zum Zitat Shabtay, D., Kaspi, M.: Minimizing the Total Weighted Flow Time in a Single Machine with Controllable Processing Times. Computers and Operations Research 31(13), 2279-2289 (2004)MATHCrossRefMathSciNet Shabtay, D., Kaspi, M.: Minimizing the Total Weighted Flow Time in a Single Machine with Controllable Processing Times. Computers and Operations Research 31(13), 2279-2289 (2004)MATHCrossRefMathSciNet
30.
Zurück zum Zitat Shabtay, D., Kaspi, M., Steiner, G.: The No-Wait Two-Machine Flow-Shop Scheduling Problem with Convex Resource-Dependent Processing Times. IIE Transactions 39(5), 539–557 (2007)CrossRef Shabtay, D., Kaspi, M., Steiner, G.: The No-Wait Two-Machine Flow-Shop Scheduling Problem with Convex Resource-Dependent Processing Times. IIE Transactions 39(5), 539–557 (2007)CrossRef
31.
Zurück zum Zitat Shabtay, D., Steiner, G.: A Survey of Scheduling with Controllable Processing Times. Discrete Applied Mathematics 155(13), 1643-1666 (2007)MATHCrossRefMathSciNet Shabtay, D., Steiner, G.: A Survey of Scheduling with Controllable Processing Times. Discrete Applied Mathematics 155(13), 1643-1666 (2007)MATHCrossRefMathSciNet
32.
Zurück zum Zitat Shabtay, D., Bensoussan, Y.: Maximizing the Weighted Number of Just-in-Time Jobs in a Two Machine Flow and Open Shop Scheduling Systems. Journal of Scheduling, DOI: 10.1007/s10951-010-0204-y Shabtay, D., Bensoussan, Y.: Maximizing the Weighted Number of Just-in-Time Jobs in a Two Machine Flow and Open Shop Scheduling Systems. Journal of Scheduling, DOI: 10.1007/s10951-010-0204-y
33.
Zurück zum Zitat Shabtay, D., Bensusan, Y., Kaspi, M.: A Bicriteria Approach to Maximize the Weighted Number of Just-In-Time Jobs and to Minimize the Total Resource Consumption Cost in a Two-Machine Flow-Shop Scheduling System, International Journal of Production Economics, to appear Shabtay, D., Bensusan, Y., Kaspi, M.: A Bicriteria Approach to Maximize the Weighted Number of Just-In-Time Jobs and to Minimize the Total Resource Consumption Cost in a Two-Machine Flow-Shop Scheduling System, International Journal of Production Economics, to appear
34.
Zurück zum Zitat Shakhlevich, N.V., Strusevich, V.A.: Pre-emptive Scheduling Problems with Controllable Processing Times. Journal of Scheduling 8, 233-253 (2005)MATHCrossRefMathSciNet Shakhlevich, N.V., Strusevich, V.A.: Pre-emptive Scheduling Problems with Controllable Processing Times. Journal of Scheduling 8, 233-253 (2005)MATHCrossRefMathSciNet
36.
Zurück zum Zitat Sung, S.C., Vlach, M.:Maximizing Weighted Number of Just-in-Time Jobs on Unrelated Parallel Machines, Journal of Scheduling 8, 453-460 (2005) Sung, S.C., Vlach, M.:Maximizing Weighted Number of Just-in-Time Jobs on Unrelated Parallel Machines, Journal of Scheduling 8, 453-460 (2005)
37.
Zurück zum Zitat Trick, M.: Scheduling Multiple Variable-Speed Machines. Operations Research 42, 234-248 (1994)MATH Trick, M.: Scheduling Multiple Variable-Speed Machines. Operations Research 42, 234-248 (1994)MATH
38.
Zurück zum Zitat Vickson, R.G.: Two Single Machine Sequencing Problems Involving Controllable Job Processing Times. AIIE Transactions 12(3), 258-262 (1980)CrossRefMathSciNet Vickson, R.G.: Two Single Machine Sequencing Problems Involving Controllable Job Processing Times. AIIE Transactions 12(3), 258-262 (1980)CrossRefMathSciNet
39.
Zurück zum Zitat Yannakakis, M., Gavril, F.: The Maximum k-Colorable Subgraph Problem for Chordal Graphs. Information Processing Letters 24, 133-137 (1987)MATHCrossRefMathSciNet Yannakakis, M., Gavril, F.: The Maximum k-Colorable Subgraph Problem for Chordal Graphs. Information Processing Letters 24, 133-137 (1987)MATHCrossRefMathSciNet
Metadaten
Titel
Scheduling to Maximize the Number of Just-in-Time Jobs: A Survey
verfasst von
Dvir Shabtay
George Steiner
Copyright-Jahr
2012
Verlag
Springer New York
DOI
https://doi.org/10.1007/978-1-4614-1123-9_1