Approximation Algorithms for the Job Interval Selection Problem and Related Scheduling Problems

Published Online:https://doi.org/10.1287/moor.1060.0218

References

  • Adler M., Rosenberg A. L., Sitaraman R. K., Unger W. Scheduling time-constrained communication in linear networks. Proc. 10th Annual ACM Sympos. Parallel Algorithms Architectures (1998) 269–278CrossrefGoogle Scholar
  • Arkin E. M., Silverberg E. B. Scheduling jobs with fixed start and end times. Discrete Appl. Math. (1987) 18:1–8CrossrefGoogle Scholar
  • Baptiste P. Polynomial time algorithms for minimizing the weighted number of late jobs on a single machine with equal processing times. J. Scheduling (1999) 2:245–252CrossrefGoogle Scholar
  • Bar-Noy A., Guha S., Naor J., Schieber B. Approximating the throughput of multiple machines in real-time scheduling. SIAM J. Comput. (2001) 31(2):331–352CrossrefGoogle Scholar
  • Bar-Noy A., Bar-Yehuda R., Freund A., Naor J., Schieber B. A unified approach to approximating resource allocation and scheduling. J. ACM (JACM) (2001) 48(5):1069–1090CrossrefGoogle Scholar
  • Baruah S., Koren G., Mao D., Mishra B., Raghunathan A., Rosier L., Shasha D., Wang F. On the competitiveness of on-line real-time task scheduling. Real-Time Systems (1992) 4:125–144CrossrefGoogle Scholar
  • Berman P., DasGupta B. Improvements in throughput maximization for real-time scheduling. Proc. 32nd Annual ACM Sympos. Theory Comput. (2000) May 2000Google Scholar
  • Calinescu G., Chakrabarti A., Karloff H. J., Rabani Y. Improved approximation algorithms for resource allocation. IPCO 2002, the 9th Conference on Integer Programming and Combinatorial Optimization. Lecture Notes in Computer Science (2002) 2337(Springer-Verlag, Berlin, Germany) 401–414CrossrefGoogle Scholar
  • Carlier J. Probléme à une machine et algorithmes polynômiaux. Questio (1981) 5(4):219–228Google Scholar
  • Crama Y., Flippo O. E., van de Klundert J. J., Spieksma F. C. R. The assembly of printed circuit boards: A case with multiple machines and multiple board types. Eur. J. Oper. Res. (1997) 98:457–472CrossrefGoogle Scholar
  • Faigle U., Nawijn W. M. Note on scheduling intervals on-line. Discrete Appl. Math. (1995) 58:13–17CrossrefGoogle Scholar
  • Fischetti M., Martello S., Toth P. The fixed job schedule problem with spread-time constraints. Oper. Res. (1987) 35:849–858LinkGoogle Scholar
  • Garey M. R., Johnson D. S. Two-processor scheduling with start times and deadlines. SIAM J. Comput. (1977) 6:416–426CrossrefGoogle Scholar
  • Golumbic M. C.Algorithmic Graph Theory and Perfect Graphs (1980) (Academic Press, New York) CrossrefGoogle Scholar
  • Graves S. C., Rinnooy Kan A. H. G., Zipkin P. H.Logistics for Production and Inventory. Vol. 4, Handbooks of Operations Research (1993) (North-Holland, Amsterdam, The Netherlands) Google Scholar
  • Hall N. G., Magazine M. J. Maximizing the value of a space mission. Eur. J. Oper. Res. (1994) 78:224–241CrossrefGoogle Scholar
  • Jackson J. R. Scheduling a production line to minimize maximum tardiness. (1955) . Management Science Research Project Report, Research Report 43, University of California, Los Angeles, CAGoogle Scholar
  • Koren G. D. Shasha. An optimal on-line scheduling algorithm for overloaded real-time systems. SIAM J. Comput. (1995) 24:318–339CrossrefGoogle Scholar
  • Lawler E. L., Lenstra J. K., Rinnooy Kan A. H. G., Shmoys D. B. Sequencing and scheduling: Algorithms and complexity. Logistics for Production and Inventory, Vol. 4, Handbooks of Operations Research (1993) (North-Holland, Amsterdam, The Netherlands) CrossrefGoogle Scholar
  • Lipton R. J., Tomkins A. Online interval scheduling. Proc. 5th Annual ACM-SIAM Sympos. Discrete Algorithms (1994) 302–311Google Scholar
  • Liu H., Zarki M. E. Adaptive source rate control for real-time wireless video transmission. Mobile Networks Appl. (1998) 3:49–60CrossrefGoogle Scholar
  • Moore J. M. An n-job, one machine sequencing algorithm for minimizing the number of late jobs. Management Sci. (1968) 15:102–109LinkGoogle Scholar
  • Rajugopal G. R., Hafez R. H. M. Adaptive rate controlled, robust video communication over packet wireless networks. Mobile Networks Appl. (1998) 3:33–47CrossrefGoogle Scholar
  • Sahni S. Algorithms for scheduling independent tasks. J. ACM (1976) 23:116–127CrossrefGoogle Scholar
  • Spieksma F. C. R. On the approximability of an interval scheduling problem. J. Scheduling (1999) 2:215–227CrossrefGoogle Scholar
  • Yau D. K. Y., Lam S. S. Adaptive rate-controlled scheduling for multimedia applications. IEEE/ACM Trans. Networking (1997) 5(4):475–488CrossrefGoogle Scholar
INFORMS site uses cookies to store information on your computer. Some are essential to make our site work; Others help us improve the user experience. By using this site, you consent to the placement of these cookies. Please read our Privacy Statement to learn more.