Optimal Workload for a Multi-Tasking <I>k</I>-out-of-<I>n</I>:G Load Sharing System

Ji Hwan CHA; Hisashi YAMAMOTO; Won Young YUN

doi:10.1093/ietfec/e89-a.1.288

Optimal Workload for a Multi-Tasking k-out-of-n:G Load Sharing System

Ji Hwan CHA, Hisashi YAMAMOTO, Won Young YUN

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In this paper the problem of determining optimal workload 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.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E89-A No.1 pp.288-296

Publication Date: 2006/01/01

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Online ISSN: 1745-1337

DOI: 10.1093/ietfec/e89-a.1.288

Type of Manuscript: PAPER

Category: Reliability, Maintainability and Safety Analysis

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Ji Hwan CHA, Hisashi YAMAMOTO, Won Young YUN, "Optimal Workload for a Multi-Tasking k-out-of-n:G Load Sharing System" in IEICE TRANSACTIONS on Fundamentals, vol. E89-A, no. 1, pp. 288-296, January 2006, doi: 10.1093/ietfec/e89-a.1.288.
Abstract: In this paper the problem of determining optimal workload 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.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e89-a.1.288/_p

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@ARTICLE{e89-a_1_288,
author={Ji Hwan CHA, Hisashi YAMAMOTO, Won Young YUN, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Optimal Workload for a Multi-Tasking k-out-of-n:G Load Sharing System},
year={2006},
volume={E89-A},
number={1},
pages={288-296},
abstract={In this paper the problem of determining optimal workload 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.},
keywords={},
doi={10.1093/ietfec/e89-a.1.288},
ISSN={1745-1337},
month={January},}

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TY - JOUR
TI - Optimal Workload for a Multi-Tasking k-out-of-n:G Load Sharing System
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 288
EP - 296
AU - Ji Hwan CHA
AU - Hisashi YAMAMOTO
AU - Won Young YUN
PY - 2006
DO - 10.1093/ietfec/e89-a.1.288
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E89-A
IS - 1
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - January 2006
AB - In this paper the problem of determining optimal workload 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.
ER -