Optimal workload for a multi-tasking k-out-of-n:G load sharing system

Ji Hwan Cha, Hisashi Yamamoto, Won Young Yun

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


In this paper the problem of determining optimal work-load for a load sharing system is considered. The system is composed of total n components and it functions until (n - k + 1) components are failed. The works that should be performed by the system arrive at the system according to a homogeneous Poisson process and it is assumed that the system can perform sufficiently large number of works simultaneously. The system is subject to a workload which can be expressed in terms of the arrival rate of the work and the workload is equally shared by surviving components in the system. We assume that an increased workload induces a higher failure rate of each remaining component. The time consumed for the completion of each work is assumed to be a constant or a random quantity following an Exponential distribution. Under this model, as a measure for system performance, we derive the long-run average number of works performed per unit time and consider optimal workload which maximizes the system performance.

Original languageEnglish
Pages (from-to)288-296
Number of pages9
JournalIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Issue number1
StatePublished - Jan 2006


  • Homogeneous Poisson process
  • K-aut-of-n:G system
  • Load sharing system
  • Optimal workload
  • Renewal theory


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