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A new analytical algorithm and generation of Gaussian quadrature formula for stochastic network

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  • Fatemi Ghomi, S. M. T.
  • Hashemin, S. S.

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  • Fatemi Ghomi, S. M. T. & Hashemin, S. S., 1999. "A new analytical algorithm and generation of Gaussian quadrature formula for stochastic network," European Journal of Operational Research, Elsevier, vol. 114(3), pages 610-625, May.
    • Handle: RePEc:eee:ejores:v:114:y:1999:i:3:p:610-625
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    References listed on IDEAS

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    1. Salah E. Elmaghraby, 1967. "On the Expected Duration of PERT Type Networks," Management Science, INFORMS, vol. 13(5), pages 299-306, January.
    2. Larry J. Ringer, 1969. "Numerical Operators for Statistical PERT Critical Path Analysis," Management Science, INFORMS, vol. 16(2), pages 136-143, October.
    3. George B. Kleindorfer, 1971. "Bounding Distributions for a Stochastic Acyclic Network," Operations Research, INFORMS, vol. 19(7), pages 1586-1601, December.
    4. Sigal, C.E. & Pritsker, A.A.B. & Solberg, J.J., 1979. "The use of cutsets in Monte Carlo analysis of stochastic networks," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 21(4), pages 376-384.
    5. H. O. Hartley & A. W. Wortham, 1966. "A Statistical Theory for PERT Critical Path Analysis," Management Science, INFORMS, vol. 12(10), pages 469-481, June.
    6. Larry J. Ringer, 1971. "A Statistical Theory for Pert in Which Completion Times of Activities are Inter-Dependent," Management Science, INFORMS, vol. 17(11), pages 717-723, July.
    7. J. J. Martin, 1965. "Distribution of the Time Through a Directed, Acyclic Network," Operations Research, INFORMS, vol. 13(1), pages 46-66, February.
    8. D. R. Fulkerson, 1962. "Expected Critical Path Lengths in PERT Networks," Operations Research, INFORMS, vol. 10(6), pages 808-817, December.
    9. John M. Burt, Jr. & Mark B. Garman, 1971. "Conditional Monte Carlo: A Simulation Technique for Stochastic Network Analysis," Management Science, INFORMS, vol. 18(3), pages 207-217, November.
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    Cited by:

    1. Tembo, Gelson & Brorsen, B. Wade & Epplin, Francis M., 2003. "Linear Response Stochastic Plateau Functions," 2003 Annual Meeting, February 1-5, 2003, Mobile, Alabama 35217, Southern Agricultural Economics Association.
    2. Azaron, Amir & Katagiri, Hideki & Sakawa, Masatoshi & Kato, Kosuke & Memariani, Azizollah, 2006. "A multi-objective resource allocation problem in PERT networks," European Journal of Operational Research, Elsevier, vol. 172(3), pages 838-854, August.
    3. N-H Shih, 2005. "Estimating completion-time distribution in stochastic activity networks," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(6), pages 744-749, June.
    4. Amir Azaron & Hideki Katagiri & Masatoshi Sakawa, 2007. "Time-cost trade-off via optimal control theory in Markov PERT networks," Annals of Operations Research, Springer, vol. 150(1), pages 47-64, March.
    5. Azaron, Amir & Fatemi Ghomi, S.M.T., 2008. "Lower bound for the mean project completion time in dynamic PERT networks," European Journal of Operational Research, Elsevier, vol. 186(1), pages 120-127, April.
    6. Davaadorjin Monhor, 2011. "A new probabilistic approach to the path criticality in stochastic PERT," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 19(4), pages 615-633, December.
    7. Azaron, Amir & Fynes, Brian & Modarres, Mohammad, 2011. "Due date assignment in repetitive projects," International Journal of Production Economics, Elsevier, vol. 129(1), pages 79-85, January.
    8. Masoud Arjmand & Amir Abbas Najafi & Majid Ebrahimzadeh, 2020. "Evolutionary algorithms for multi-objective stochastic resource availability cost problem," OPSEARCH, Springer;Operational Research Society of India, vol. 57(3), pages 935-985, September.

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