A HYBRID METHOD TO FIND CUMULATIVE DISTRIBUTION FUNCTION OF COMPLETION TIME OF GERT NETWORKS

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HASHEMIN S.S.; FATEMI GHOMI S.M.T.

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Journal Paper

Paper Information

Journal: JOURNAL OF INDUSTRIAL ENGINEERING INTERNATIONAL Year:2005 | Volume:1 | Issue:1 Page(s): 1-9

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Title

A HYBRID METHOD TO FIND CUMULATIVE DISTRIBUTION FUNCTION OF COMPLETION TIME OF GERT NETWORKS

Author(s)

HASHEMIN S.S. | FATEMI GHOMI S.M.T. | Issue Writer Certificate

Keywords

GERT NETWORK

COMPLETION TIME

DISTRIBUTION FUNCTION

HYBRID

GAUSSIAN QUADRATURE FORMULA

CONDITIONAL SIMULATION

Abstract

This paper proposes a HYBRID method to find cumulative DISTRIBUTION FUNCTION (CDF) of COMPLETION TIME of GERT-type networks (GTN) which have no loop and have only exclusive-or nodes. Proposed method is created by combining an analytical transformation with GAUSSIAN QUADRATURE FORMULA. Also the combined crude Monte Carlo simulation and combined conditional Monte Carlo simulation are developed as alternative methods of solution procedure. Then, through a comparative study made for different solution procedures, the superiority of HYBRID method is indicated. Computing time and accuracy are considered as fundamental factors for comparison purposes.

Cites

CONSTRAINED CONSUMABLE RESOURCE ALLOCATION IN ALTERNATIVE STOCHASTIC NETWORKS VIA MULTI-OBJECTIVE DECISION MAKING

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APA: Copy

HASHEMIN, S.S., & FATEMI GHOMI, S.M.T.. (2005). A HYBRID METHOD TO FIND CUMULATIVE DISTRIBUTION FUNCTION OF COMPLETION TIME OF GERT NETWORKS. JOURNAL OF INDUSTRIAL ENGINEERING INTERNATIONAL, 1(1), 1-9. SID. https://sid.ir/paper/309828/en

Vancouver: Copy

HASHEMIN S.S., FATEMI GHOMI S.M.T.. A HYBRID METHOD TO FIND CUMULATIVE DISTRIBUTION FUNCTION OF COMPLETION TIME OF GERT NETWORKS. JOURNAL OF INDUSTRIAL ENGINEERING INTERNATIONAL[Internet]. 2005;1(1):1-9. Available from: https://sid.ir/paper/309828/en

IEEE: Copy

S.S. HASHEMIN, and S.M.T. FATEMI GHOMI, “A HYBRID METHOD TO FIND CUMULATIVE DISTRIBUTION FUNCTION OF COMPLETION TIME OF GERT NETWORKS,” JOURNAL OF INDUSTRIAL ENGINEERING INTERNATIONAL, vol. 1, no. 1, pp. 1–9, 2005, [Online]. Available: https://sid.ir/paper/309828/en

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