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A Functional Equation and its Application to Resource Allocation and Sequencing Problems

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Cited by:

  1. Boysen, Nils & Stephan, Konrad, 2016. "A survey on single crane scheduling in automated storage/retrieval systems," European Journal of Operational Research, Elsevier, vol. 254(3), pages 691-704.
  2. Shabtay, Dvir & Steiner, George & Zhang, Rui, 2016. "Optimal coordination of resource allocation, due date assignment and scheduling decisions," Omega, Elsevier, vol. 65(C), pages 41-54.
  3. Safer, Hershel M. & Orlin, James B., 1953-, 1995. "Fast approximation schemes for multi-criteria flow, knapsack, and scheduling problems," Working papers 3757-95., Massachusetts Institute of Technology (MIT), Sloan School of Management.
  4. Tom Demeulemeester & Dries Goossens & Ben Hermans & Roel Leus, 2023. "Fair integer programming under dichotomous and cardinal preferences," Papers 2306.13383, arXiv.org, revised Apr 2024.
  5. Zhi-Long Chen & Warren B. Powell, 1999. "Solving Parallel Machine Scheduling Problems by Column Generation," INFORMS Journal on Computing, INFORMS, vol. 11(1), pages 78-94, February.
  6. Prabuddha De & Jay B. Ghosh & Charles E. Wells, 1994. "Due‐date assignment and early/tardy scheduling on identical parallel machines," Naval Research Logistics (NRL), John Wiley & Sons, vol. 41(1), pages 17-32, February.
  7. Rabia Nessah & Chengbin Chu, 2010. "Infinite split scheduling: a new lower bound of total weighted completion time on parallel machines with job release dates and unavailability periods," Annals of Operations Research, Springer, vol. 181(1), pages 359-375, December.
  8. Lenstra, J. K. & Rinnooy Kan, A. H. G., 1980. "An Introduction To Multiprocessor Scheduling," Econometric Institute Archives 272258, Erasmus University Rotterdam.
  9. Stanisław Gawiejnowicz & Alexander Kononov, 2014. "Isomorphic scheduling problems," Annals of Operations Research, Springer, vol. 213(1), pages 131-145, February.
  10. Nicholas G. Hall & Marc E. Posner & Chris N. Potts, 1998. "Scheduling with Finite Capacity Output Buffers," Operations Research, INFORMS, vol. 46(3-supplem), pages 84-97, June.
  11. Xiaohu Wu & Patrick Loiseau, 2024. "Algorithms for Scheduling Deadline-Sensitive Malleable Tasks," SN Operations Research Forum, Springer, vol. 5(2), pages 1-38, June.
  12. Koulamas, Christos & Kyparisis, George J., 2023. "A classification of dynamic programming formulations for offline deterministic single-machine scheduling problems," European Journal of Operational Research, Elsevier, vol. 305(3), pages 999-1017.
  13. Della Croce, Federico & T’kindt, Vincent & Ploton, Olivier, 2021. "Parallel machine scheduling with minimum number of tardy jobs: Approximation and exponential algorithms," Applied Mathematics and Computation, Elsevier, vol. 397(C).
  14. Cai, X., 1995. "Minimization of agreeably weighted variance in single machine systems," European Journal of Operational Research, Elsevier, vol. 85(3), pages 576-592, September.
  15. Hejl, Lukáš & Šůcha, Přemysl & Novák, Antonín & Hanzálek, Zdeněk, 2022. "Minimizing the weighted number of tardy jobs on a single machine: Strongly correlated instances," European Journal of Operational Research, Elsevier, vol. 298(2), pages 413-424.
  16. SADYKOV, Ruslan, 2005. "A branch-and-check algorithm for minimizing the sum of the weights of the late jobs on a single machine with release dates," LIDAM Discussion Papers CORE 2005057, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  17. Celia A. Glass & Hans Kellerer, 2007. "Parallel machine scheduling with job assignment restrictions," Naval Research Logistics (NRL), John Wiley & Sons, vol. 54(3), pages 250-257, April.
  18. Danny Hermelin & Hendrik Molter & Dvir Shabtay, 2024. "Minimizing the Weighted Number of Tardy Jobs via (max,+)-Convolutions," INFORMS Journal on Computing, INFORMS, vol. 36(3), pages 836-848, May.
  19. Willem E. de Paepe & Jan Karel Lenstra & Jiri Sgall & René A. Sitters & Leen Stougie, 2004. "Computer-Aided Complexity Classification of Dial-a-Ride Problems," INFORMS Journal on Computing, INFORMS, vol. 16(2), pages 120-132, May.
  20. Lushchakova, Irene N., 2000. "Minimizing functions of infeasibilities in a two-machine flow shop," European Journal of Operational Research, Elsevier, vol. 121(2), pages 380-393, March.
  21. Tzafestas, Spyros & Triantafyllakis, Alekos, 1993. "Deterministic scheduling in computing and manufacturing systems: a survey of models and algorithms," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 35(5), pages 397-434.
  22. Danny Hermelin & Shlomo Karhi & Michael Pinedo & Dvir Shabtay, 2021. "New algorithms for minimizing the weighted number of tardy jobs on a single machine," Annals of Operations Research, Springer, vol. 298(1), pages 271-287, March.
  23. Imed Kacem & Hans Kellerer & Yann Lanuel, 2015. "Approximation algorithms for maximizing the weighted number of early jobs on a single machine with non-availability intervals," Journal of Combinatorial Optimization, Springer, vol. 30(3), pages 403-412, October.
  24. Shabtay, Dvir, 2016. "Optimal restricted due date assignment in scheduling," European Journal of Operational Research, Elsevier, vol. 252(1), pages 79-89.
  25. M'Hallah, Rym & Bulfin, R. L., 2003. "Minimizing the weighted number of tardy jobs on a single machine," European Journal of Operational Research, Elsevier, vol. 145(1), pages 45-56, February.
  26. Chen, Ke & Cheng, T.C.E. & Huang, Hailiang & Ji, Min & Yao, Danli, 2023. "Single-machine scheduling with autonomous and induced learning to minimize total weighted number of tardy jobs," European Journal of Operational Research, Elsevier, vol. 309(1), pages 24-34.
  27. Dunstall, Simon & Wirth, Andrew, 2005. "A comparison of branch-and-bound algorithms for a family scheduling problem with identical parallel machines," European Journal of Operational Research, Elsevier, vol. 167(2), pages 283-296, December.
  28. Cheng, T. C. Edwin & Gordon, Valery S. & Kovalyov, Mikhail Y., 1996. "Single machine scheduling with batch deliveries," European Journal of Operational Research, Elsevier, vol. 94(2), pages 277-283, October.
  29. Evgeny Gafarov & Alexander Lazarev & Frank Werner, 2012. "Transforming a pseudo-polynomial algorithm for the single machine total tardiness maximization problem into a polynomial one," Annals of Operations Research, Springer, vol. 196(1), pages 247-261, July.
  30. Marjan Akker & Han Hoogeveen & Judith Stoef, 2018. "Combining two-stage stochastic programming and recoverable robustness to minimize the number of late jobs in the case of uncertain processing times," Journal of Scheduling, Springer, vol. 21(6), pages 607-617, December.
  31. C N Potts & V A Strusevich, 2009. "Fifty years of scheduling: a survey of milestones," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(1), pages 41-68, May.
  32. Florian Jaehn & Helmut A. Sedding, 2016. "Scheduling with time-dependent discrepancy times," Journal of Scheduling, Springer, vol. 19(6), pages 737-757, December.
  33. Shi-Sheng Li & Ren-Xia Chen, 2023. "Competitive two-agent scheduling with release dates and preemption on a single machine," Journal of Scheduling, Springer, vol. 26(3), pages 227-249, June.
  34. Helmut A. Sedding, 2020. "Scheduling jobs with a V-shaped time-dependent processing time," Journal of Scheduling, Springer, vol. 23(6), pages 751-768, December.
  35. Kerem Bülbül & Halil Şen, 2017. "An exact extended formulation for the unrelated parallel machine total weighted completion time problem," Journal of Scheduling, Springer, vol. 20(4), pages 373-389, August.
  36. Gerhard J. Woeginger, 2000. "When Does a Dynamic Programming Formulation Guarantee the Existence of a Fully Polynomial Time Approximation Scheme (FPTAS)?," INFORMS Journal on Computing, INFORMS, vol. 12(1), pages 57-74, February.
  37. Briskorn, Dirk & Davari, Morteza & Matuschke, Jannik, 2021. "Single-machine scheduling with an external resource," European Journal of Operational Research, Elsevier, vol. 293(2), pages 457-468.
  38. Huynh Tuong, Nguyen & Soukhal, Ameur & Billaut, Jean-Charles, 2010. "A new dynamic programming formulation for scheduling independent tasks with common due date on parallel machines," European Journal of Operational Research, Elsevier, vol. 202(3), pages 646-653, May.
  39. Szkatula, Krzysztof, 1998. "Random sequencing jobs with deadlines problem: Growth of the optimal solution values," European Journal of Operational Research, Elsevier, vol. 109(1), pages 160-169, August.
  40. Azizoglu, Meral & Kirca, Omer, 1999. "On the minimization of total weighted flow time with identical and uniform parallel machines," European Journal of Operational Research, Elsevier, vol. 113(1), pages 91-100, February.
  41. Szkatuła, Krzysztof, 2017. "Impact of deadline intervals on behavior of solutions to the random Sequencing Jobs with Deadlines problem," European Journal of Operational Research, Elsevier, vol. 262(1), pages 40-45.
  42. M'Hallah, Rym & Bulfin, R.L., 2007. "Minimizing the weighted number of tardy jobs on a single machine with release dates," European Journal of Operational Research, Elsevier, vol. 176(2), pages 727-744, January.
  43. J. M. van den Akker & J. A. Hoogeveen & S. L. van de Velde, 1999. "Parallel Machine Scheduling by Column Generation," Operations Research, INFORMS, vol. 47(6), pages 862-872, December.
  44. Evgeny Gafarov & Alexander Lazarev & Frank Werner, 2013. "Single machine total tardiness maximization problems: complexity and algorithms," Annals of Operations Research, Springer, vol. 207(1), pages 121-136, August.
  45. Mitre Dourado & Rosiane Rodrigues & Jayme Szwarcfiter, 2009. "Scheduling unit time jobs with integer release dates to minimize the weighted number of tardy jobs," Annals of Operations Research, Springer, vol. 169(1), pages 81-91, July.
  46. Rubing Chen & Jinjiang Yuan, 2020. "Single-machine scheduling of proportional-linearly deteriorating jobs with positional due indices," 4OR, Springer, vol. 18(2), pages 177-196, June.
  47. Jouglet, Antoine & Carlier, Jacques, 2011. "Dominance rules in combinatorial optimization problems," European Journal of Operational Research, Elsevier, vol. 212(3), pages 433-444, August.
  48. Nicholas G. Hall & 'Maseka Lesaoana & Chris N. Potts, 2001. "Scheduling with Fixed Delivery Dates," Operations Research, INFORMS, vol. 49(1), pages 134-144, February.
  49. Zhi-Long Chen & Nicholas G. Hall, 2008. "Maximum Profit Scheduling," Manufacturing & Service Operations Management, INFORMS, vol. 10(1), pages 84-107, February.
  50. Shuen Guo & Hao Lang & Hanxiang Zhang, 2023. "Scheduling of Jobs with Multiple Weights on a Single Machine for Minimizing the Total Weighted Number of Tardy Jobs," Mathematics, MDPI, vol. 11(4), pages 1-19, February.
  51. Daniel Kowalczyk & Roel Leus, 2018. "A Branch-and-Price Algorithm for Parallel Machine Scheduling Using ZDDs and Generic Branching," INFORMS Journal on Computing, INFORMS, vol. 30(4), pages 768-782, November.
  52. Cai, X. & Lum, V. Y. S. & Chan, J. M. T., 1997. "Scheduling about a common due date with kob-dependent asymmetric earliness and tardiness penalties," European Journal of Operational Research, Elsevier, vol. 98(1), pages 154-168, April.
  53. Christos Koulamas & George Steiner, 2021. "New results for scheduling to minimize tardiness on one machine with rejection and related problems," Journal of Scheduling, Springer, vol. 24(1), pages 27-34, February.
  54. Cheng, T. C. E. & Ng, C. T. & Yuan, J. J. & Liu, Z. H., 2005. "Single machine scheduling to minimize total weighted tardiness," European Journal of Operational Research, Elsevier, vol. 165(2), pages 423-443, September.
  55. Akturk, M. Selim & Ghosh, Jay B. & Gunes, Evrim D., 2004. "Scheduling with tool changes to minimize total completion time: Basic results and SPT performance," European Journal of Operational Research, Elsevier, vol. 157(3), pages 784-790, September.
  56. Wing‐Kwan Yeung & Ceyda Oğuz & Tai‐Chiu Edwin Cheng, 2009. "Two‐machine flow shop scheduling with common due window to minimize weighted number of early and tardy jobs," Naval Research Logistics (NRL), John Wiley & Sons, vol. 56(7), pages 593-599, October.
  57. Ji, Min & He, Yong & Cheng, T.C.E., 2007. "Batch delivery scheduling with batch delivery cost on a single machine," European Journal of Operational Research, Elsevier, vol. 176(2), pages 745-755, January.
  58. Reha Uzsoy & Chung‐Yee Lee & Louis A. Martin‐Vega, 1992. "Scheduling semiconductor test operations: Minimizing maximum lateness and number of tardy jobs on a single machine," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(3), pages 369-388, April.
  59. Nicholas G. Hall & Zhixin Liu, 2023. "Scheduling with present bias," Production and Operations Management, Production and Operations Management Society, vol. 32(6), pages 1743-1759, June.
  60. Tian, Z. J. & Ng, C. T. & Cheng, T. C. E., 2005. "On the single machine total tardiness problem," European Journal of Operational Research, Elsevier, vol. 165(3), pages 843-846, September.
  61. Yuan, Jinjiang & Lin, Yixun, 2005. "Single machine preemptive scheduling with fixed jobs to minimize tardiness related criteria," European Journal of Operational Research, Elsevier, vol. 164(3), pages 851-855, August.
  62. Sergey Kovalev, 2015. "Maximizing total tardiness on a single machine in $$O(n^2)$$ O ( n 2 ) time via a reduction to half-product minimization," Annals of Operations Research, Springer, vol. 235(1), pages 815-819, December.
  63. Sadykov, Ruslan, 2008. "A branch-and-check algorithm for minimizing the weighted number of late jobs on a single machine with release dates," European Journal of Operational Research, Elsevier, vol. 189(3), pages 1284-1304, September.
  64. Bornstein, Claudio Thomas & Alcoforado, Luciane Ferreira & Maculan, Nelson, 2005. "A graph-oriented approach for the minimization of the number of late jobs for the parallel machines scheduling problem," European Journal of Operational Research, Elsevier, vol. 165(3), pages 649-656, September.
  65. Vincent T’kindt & Federico Della Croce & Jean-Louis Bouquard, 2007. "Enumeration of Pareto Optima for a Flowshop Scheduling Problem with Two Criteria," INFORMS Journal on Computing, INFORMS, vol. 19(1), pages 64-72, February.
  66. Yuan Zhang & Jinjiang Yuan & Chi To Ng & Tai Chiu E. Cheng, 2021. "Pareto‐optimization of three‐agent scheduling to minimize the total weighted completion time, weighted number of tardy jobs, and total weighted late work," Naval Research Logistics (NRL), John Wiley & Sons, vol. 68(3), pages 378-393, April.
  67. Koulamas, Christos & Kyparisis, George J., 2019. "New results for single-machine scheduling with past-sequence-dependent setup times and due date-related objectives," European Journal of Operational Research, Elsevier, vol. 278(1), pages 149-159.
  68. Ji, Min & Cheng, T.C.E., 2010. "Batch scheduling of simple linear deteriorating jobs on a single machine to minimize makespan," European Journal of Operational Research, Elsevier, vol. 202(1), pages 90-98, April.
  69. Hans Kellerer & Vitaly A. Strusevich, 2016. "Optimizing the half-product and related quadratic Boolean functions: approximation and scheduling applications," Annals of Operations Research, Springer, vol. 240(1), pages 39-94, May.
  70. Waldherr, Stefan & Knust, Sigrid, 2015. "Complexity results for flow shop problems with synchronous movement," European Journal of Operational Research, Elsevier, vol. 242(1), pages 34-44.
  71. Zhi-Long Chen & Nicholas G. Hall, 2010. "The Coordination of Pricing and Scheduling Decisions," Manufacturing & Service Operations Management, INFORMS, vol. 12(1), pages 77-92, April.
  72. Ishii, Hiroaki & Tada, Minoru, 1995. "Single machine scheduling problem with fuzzy precedence relation," European Journal of Operational Research, Elsevier, vol. 87(2), pages 284-288, December.
  73. Della Croce, Federico & Gupta, Jatinder N. D. & Tadei, Roberto, 2000. "Minimizing tardy jobs in a flowshop with common due date," European Journal of Operational Research, Elsevier, vol. 120(2), pages 375-381, January.
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