Asymptotically Optimal Worksharing in HNOWs: How Long is "Sufficiently Long?"

  • Authors:
  • Micah Adler;Ying Gong;Arnold L. Rosenberg

  • Affiliations:
  • -;-;-

  • Venue:
  • ANSS '03 Proceedings of the 36th annual symposium on Simulation
  • Year:
  • 2003

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Abstract

We proved in [1] that "FIFO" worksharing protocols provide asymptotically optimal solutions to the HNOW-Exploitation Problem.In this problem, one has a bag oftasks, and one seeks to accomplish as much work as possibleon a heterogeneous network of workstations (HNOW)N during a prespecified fixed period.Our study proceededwithin a model that characterizes N via parametersthat measure workstations' computational and communicationalpowers.A worksharing protocol observes a FIFOregimen if it has N's workstations finish their assignedwork, and return their results, in the same order in whichthey are supplied with their work.The asymptotic optimalityof FIFO protocols resides in their accomplishing at leastas much work as any other protocol during sufficiently longworksharing periods.We perfrom a suite of simulation experiments that delimit the length of "sufficiently long."Weshow that, over a range of values of model parameters, thesuperiority of FIFO protocols is usually observed during quiteshort worksharing episodes, often in the range of a few minutes, and seldom more than a few hours.