Summary
Scheduling in the central server queueing model, consisting of a “CPU” server and m “I/O” servers, is considered for the case of two customers. Optimal (maximal CPU utilization) CPU and I/O schedules are obtained. The best CPU schedule depends on the I/O schedule in effect; and is either Longest or Shortest-Expected-Remaining-Processing-Time-First. However, for certain I/O schedules the CPU schedule is immaterial. The best I/O schedule is always to process the longer CPU customer first.
Similar content being viewed by others
References
Chandy, K. M.: The analysis and solutions for general queueing networks. Proc. 6th Princeton Conference on Information Sciences and Systems, Princeton (N.J.), March 1972
Baskett, F., Chandy, K. M., Muntz, R. R., Palacios, F. G.: Open, closed, and mixed networks of queues with different classes of customers. J. ACM 22, 248–260 (1975)
Schrage, L.: A proof of the optimality of the shortest remaining processing time discipline. Operations Research 16, 687–690 (1968)
Price, T. G.: An analysis of central processor scheduling in multiprogrammed computer systems. Stanford University, Digital Systems Lab, Technical Report #57, October 1972
Lazowska, E. D.: Scheduling multiple resource computer systems. Computer Systems Research Group, University of Toronto, Technical Report CSRG-32, M. Sc. Thesis, May 1974
Lazowska, E. D., Sevcik, K. C.: Scheduling in systems with two scarce resources. Proc. ACM Nat'1. Conf. San Diego (Calif.), Nov. 1974 p. 66–73
Buzen, J. P.: Queueing network models of multiprogramming. Harvard University, Division of Eng. and Appl. Science, Ph. D. Thesis, May 1971
Spirn, J. R.: A model for dynamic allocation in a paging machine. Proc. 8th Princeton Conf. on Information Sciences and Systems, Princeton (N.J.), March 1974, p. 331–334
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Spirn, J.R. Multi-queue scheduling of two tasks. Acta Informatica 7, 217–226 (1976). https://doi.org/10.1007/BF00265772
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00265772