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Minimizing the Worst Slowdown: Off-Line and On-Line

  • Moulin, Herve

    (Rice U)

Minimizing the slowdown (expected sojourn time divided by job size) is a key concern of fairness in scheduling and queuing problems where job sizes are very heterogeneous. We look for protocols (service disciplines) capping the worst slowdown (called here liability) a job may face no matter how large (or small) the other jobs are. In the scheduling problem (all jobs released at the same time), allowing the server to randomize the order of service cuts almost in half the liability profiles feasible under deterministic protocols. The same statement holds if cash transfers are feasible and users have linear waiting costs.

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File URL: http://www.ruf.rice.edu/~econ/papers/2005papers/slowdn6.pdf
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Paper provided by Rice University, Department of Economics in its series Working Papers with number 2005-03.

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Date of creation: Apr 2005
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Handle: RePEc:ecl:riceco:2005-03
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  1. Moulin, H., 1988. "Welfare Bounds In The Fair Division Problem," UFAE and IAE Working Papers 106-88, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  2. Moulin, Herve, 2005. "Split-Proof Probabilistic Scheduling," Working Papers 2004-06, Rice University, Department of Economics.
  3. Jeroen Suijs, 1996. "On incentive compatibility and budget balancedness in public decision making," Review of Economic Design, Springer, vol. 2(1), pages 193-209, December.
  4. Demko, Stephen & Hill, Theodore P., 1988. "Equitable distribution of indivisible objects," Mathematical Social Sciences, Elsevier, vol. 16(2), pages 145-158, October.
  5. Moulin, H., 1989. "Uniform Externalities: Two Axioms For Fair Allocation," UFAE and IAE Working Papers 117-89, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  6. Maniquet, Francois, 2003. "A characterization of the Shapley value in queueing problems," Journal of Economic Theory, Elsevier, vol. 109(1), pages 90-103, March.
  7. Moulin, Herve, 1992. "Welfare bounds in the cooperative production problem," Games and Economic Behavior, Elsevier, vol. 4(3), pages 373-401, July.
  8. Manipushpak Mitra, 2001. "Mechanism design in queueing problems," Economic Theory, Springer, vol. 17(2), pages 277-305.
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