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Single Facility Sequencing with Random Execution Times

Author

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  • B. P. Banerjee

    (International Business Machines Corporation, Advanced Systems Development Division, Yorktown Heights, New York)

Abstract

A single facility sequencing problem where the execution time for each job at the facility is random with known probability distribution, is formulated and solved. The solution is shown to be easily extended to situations where further jobs arrive while the program is in operation. Further extensions are discussed, where (a) the facility is taken to consist of multiple (identical or otherwise) units of equipment and, (b) special priorities are attached to some of the jobs.

Suggested Citation

  • B. P. Banerjee, 1965. "Single Facility Sequencing with Random Execution Times," Operations Research, INFORMS, vol. 13(3), pages 358-364, June.
    • Handle: RePEc:inm:oropre:v:13:y:1965:i:3:p:358-364
    DOI: 10.1287/opre.13.3.358
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    Cited by:

    1. Gabriel Mauricio Zambrano-Rey & Eliana María González-Neira & Gabriel Fernando Forero-Ortiz & María José Ocampo-Monsalve & Andrea Rivera-Torres, 2024. "Minimizing the expected maximum lateness for a job shop subject to stochastic machine breakdowns," Annals of Operations Research, Springer, vol. 338(1), pages 801-833, July.
    2. K. D. Glazebrook, 1995. "A suboptimality bound for permutation policies in single machine stochastic scheduling," Naval Research Logistics (NRL), John Wiley & Sons, vol. 42(6), pages 993-1005, September.
    3. Elmaghraby, Salah E., 2001. "On the optimal release time of jobs with random processing times, with extensions to other criteria," International Journal of Production Economics, Elsevier, vol. 74(1-3), pages 103-113, December.

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