메뉴 건너뛰기




Volumn 54, Issue 2, 2007, Pages 282-295

A new approximation algorithm for obtaining the probability distribution function for project completion time

Author keywords

Approximation; Completion time; Discretization; Probability distribution function; Stochastic activity networks

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL METHODS; FUNCTION EVALUATION; PROBABILITY DISTRIBUTIONS;

EID: 34249865056     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2007.01.036     Document Type: Article
Times cited : (34)

References (30)
  • 1
    • 0021822930 scopus 로고
    • Approximating the distribution function in stochastic networks
    • Dodin B.M. Approximating the distribution function in stochastic networks. Comput. Oper. Res. 12 3 (1985) 251-264
    • (1985) Comput. Oper. Res. , vol.12 , Issue.3 , pp. 251-264
    • Dodin, B.M.1
  • 2
    • 0029256275 scopus 로고
    • Manage risk in product and process development and avoid unpleasant surprises
    • Coppendale J. Manage risk in product and process development and avoid unpleasant surprises. Eng. Manage. J. 5 1 (1995) 35-38
    • (1995) Eng. Manage. J. , vol.5 , Issue.1 , pp. 35-38
    • Coppendale, J.1
  • 3
    • 0030165699 scopus 로고    scopus 로고
    • A review of existing models for project planning and estimation and the need for a new approach
    • Chatzoglou P., and Macaulay L. A review of existing models for project planning and estimation and the need for a new approach. Int. J. Proj. Manage. 14 (1996) 173-183
    • (1996) Int. J. Proj. Manage. , vol.14 , pp. 173-183
    • Chatzoglou, P.1    Macaulay, L.2
  • 5
    • 84987049329 scopus 로고
    • Computational complexity of PERT problems
    • Hagstorm J.N. Computational complexity of PERT problems. Networks 18 (1988) 139-147
    • (1988) Networks , vol.18 , pp. 139-147
    • Hagstorm, J.N.1
  • 6
    • 0024715589 scopus 로고
    • A classified bibliography of research on stochastic PERT networks: 1966-1987
    • Adlakha V.G. A classified bibliography of research on stochastic PERT networks: 1966-1987. INFOR 27 3 (1989) 272-296
    • (1989) INFOR , vol.27 , Issue.3 , pp. 272-296
    • Adlakha, V.G.1
  • 7
    • 0001853287 scopus 로고
    • The estimation of some network parameters in the PERT model of activity networks: Review and critique
    • Slowinski R., and Weglarz J. (Eds), Elsevier, Amsterdam
    • Elmaghraby S.E. The estimation of some network parameters in the PERT model of activity networks: Review and critique. In: Slowinski R., and Weglarz J. (Eds). Advances in Project Scheduling (1989), Elsevier, Amsterdam 371-432
    • (1989) Advances in Project Scheduling , pp. 371-432
    • Elmaghraby, S.E.1
  • 8
    • 0003107787 scopus 로고
    • Distribution of the time through a directed acyclic networks
    • Martin J.J. Distribution of the time through a directed acyclic networks. Oper. Res. 13 1 (1965) 46-66
    • (1965) Oper. Res. , vol.13 , Issue.1 , pp. 46-66
    • Martin, J.J.1
  • 9
    • 0021785617 scopus 로고
    • Stochastic PERT networks: OP diagrams critical paths and the project completion time
    • Fisher D.L., Saisi D., and Goldstein W.M. Stochastic PERT networks: OP diagrams critical paths and the project completion time. Comput. Oper. Res. 12 5 (1985) 471-482
    • (1985) Comput. Oper. Res. , vol.12 , Issue.5 , pp. 471-482
    • Fisher, D.L.1    Saisi, D.2    Goldstein, W.M.3
  • 10
    • 0022785024 scopus 로고
    • Markov and Markov-Regenerative PERT networks
    • Kulkarni V.G., and Adlakha V.G. Markov and Markov-Regenerative PERT networks. Oper. Res. 34 5 (1986) 769-781
    • (1986) Oper. Res. , vol.34 , Issue.5 , pp. 769-781
    • Kulkarni, V.G.1    Adlakha, V.G.2
  • 11
    • 84987013945 scopus 로고
    • Computing the probability distribution of project duration in a PERT network
    • Hagstrom J.N. Computing the probability distribution of project duration in a PERT network. Networks 20 (1990) 231-244
    • (1990) Networks , vol.20 , pp. 231-244
    • Hagstrom, J.N.1
  • 13
    • 0000738834 scopus 로고
    • Monte Carlo methods and the PERT problem
    • van Slyke R.M. Monte Carlo methods and the PERT problem. Oper. Res. 11 (1963) 839-861
    • (1963) Oper. Res. , vol.11 , pp. 839-861
    • van Slyke, R.M.1
  • 14
    • 0039402316 scopus 로고
    • Conditional Monte Carlo: A simulation technique for stochastic network analysis
    • Burt J.M., and Garman M.B. Conditional Monte Carlo: A simulation technique for stochastic network analysis. Manage. Sci. 18 3 (1971)
    • (1971) Manage. Sci. , vol.18 , Issue.3
    • Burt, J.M.1    Garman, M.B.2
  • 15
    • 0018738242 scopus 로고
    • The use of cutsets in Monte Carlo analysis of stochastic networks
    • Sigal C.E., Pritsker A.B., and Solberg J.J. The use of cutsets in Monte Carlo analysis of stochastic networks. Math. Comput. Simuation 21 (1979) 376-384
    • (1979) Math. Comput. Simuation , vol.21 , pp. 376-384
    • Sigal, C.E.1    Pritsker, A.B.2    Solberg, J.J.3
  • 16
    • 0001501655 scopus 로고
    • Application of a technique for research and development program evaluation
    • Malcolm D.G., Roseboom J.H., Clark C.E., and Fazar W. Application of a technique for research and development program evaluation. Oper. Res. 7 (1959) 646-669
    • (1959) Oper. Res. , vol.7 , pp. 646-669
    • Malcolm, D.G.1    Roseboom, J.H.2    Clark, C.E.3    Fazar, W.4
  • 17
    • 0020704075 scopus 로고
    • The completion time of PERT networks
    • Sculli D. The completion time of PERT networks. J. Oper. Res. Soc. 25 1 (1983) 155-158
    • (1983) J. Oper. Res. Soc. , vol.25 , Issue.1 , pp. 155-158
    • Sculli, D.1
  • 18
    • 0001310038 scopus 로고
    • The greatest of a finite set of random variables
    • Clark C.E. The greatest of a finite set of random variables. Oper. Res. 9 (1961) 146-162
    • (1961) Oper. Res. , vol.9 , pp. 146-162
    • Clark, C.E.1
  • 19
    • 0025641482 scopus 로고
    • Stochastic networks and the extreme value distribution
    • Dodin B.M., and Sirvanci M. Stochastic networks and the extreme value distribution. Comput. Oper. Res. 17 4 (1990) 207-217
    • (1990) Comput. Oper. Res. , vol.17 , Issue.4 , pp. 207-217
    • Dodin, B.M.1    Sirvanci, M.2
  • 20
    • 0030233044 scopus 로고    scopus 로고
    • A study of approximating the moments of the job completion time in PERT networks
    • Mehrotra K., Chai J., and Pillutla S. A study of approximating the moments of the job completion time in PERT networks. J. Oper. Manage. 14 (1996) 277-289
    • (1996) J. Oper. Manage. , vol.14 , pp. 277-289
    • Mehrotra, K.1    Chai, J.2    Pillutla, S.3
  • 21
    • 0034745712 scopus 로고    scopus 로고
    • On computing the distribution function of the sum of independent random variables
    • Agrawal M.K., and Elmaghraby S.E. On computing the distribution function of the sum of independent random variables. Comput. Oper. Res. 28 (2001) 473-483
    • (2001) Comput. Oper. Res. , vol.28 , pp. 473-483
    • Agrawal, M.K.1    Elmaghraby, S.E.2
  • 22
    • 5244364936 scopus 로고
    • Bias in PERT project completion time calculations for a real network
    • Klingel Jr. A.R. Bias in PERT project completion time calculations for a real network. Manage. Sci. 13 4 (1966) 476-489
    • (1966) Manage. Sci. , vol.13 , Issue.4 , pp. 476-489
    • Klingel Jr., A.R.1
  • 23
    • 0033891504 scopus 로고    scopus 로고
    • Project duration in stochastic networks by the PERT-path technique
    • Pontrandolfo P. Project duration in stochastic networks by the PERT-path technique. Int. J. Proj. Manage. 18 (2000) 215-222
    • (2000) Int. J. Proj. Manage. , vol.18 , pp. 215-222
    • Pontrandolfo, P.1
  • 24
    • 34249895989 scopus 로고    scopus 로고
    • A label-correcting tracing algorithm for the approximation of the probability distribution function of the project completion time
    • Yao M., Chu W., and Tseng T. A label-correcting tracing algorithm for the approximation of the probability distribution function of the project completion time. J. Chin. Inst. Ind. Eng. 24 2 (2007) 153-165
    • (2007) J. Chin. Inst. Ind. Eng. , vol.24 , Issue.2 , pp. 153-165
    • Yao, M.1    Chu, W.2    Tseng, T.3
  • 25
    • 0002610737 scopus 로고
    • On a routing problem
    • Bellman R. On a routing problem. Q. Appl. Math. 16 (1958) 88-90
    • (1958) Q. Appl. Math. , vol.16 , pp. 88-90
    • Bellman, R.1
  • 26
    • 34250423432 scopus 로고
    • Implementation and efficiency of Moore-algorithms for the shortest route problem
    • Pape U. Implementation and efficiency of Moore-algorithms for the shortest route problem. Math. Program. 7 (1974) 212-222
    • (1974) Math. Program. , vol.7 , pp. 212-222
    • Pape, U.1
  • 28
    • 0021793358 scopus 로고
    • A new polynomial bounded shortest path algorithm
    • Glover F., Klingman D., and Philips N. A new polynomial bounded shortest path algorithm. Oper. Res. 33 (1986) 65-73
    • (1986) Oper. Res. , vol.33 , pp. 65-73
    • Glover, F.1    Klingman, D.2    Philips, N.3
  • 29
    • 21344476884 scopus 로고
    • A simple and fast label correcting algorithm for shortest paths
    • Bertsekas D.P. A simple and fast label correcting algorithm for shortest paths. Networks 23 (1993) 703-709
    • (1993) Networks , vol.23 , pp. 703-709
    • Bertsekas, D.P.1
  • 30
    • 0030788844 scopus 로고    scopus 로고
    • PSPLIB-A project scheduling problem library
    • Kolisch R., and Sprecher A. PSPLIB-A project scheduling problem library. European J. Oper. Res. 96 (1996) 205-216
    • (1996) European J. Oper. Res. , vol.96 , pp. 205-216
    • Kolisch, R.1    Sprecher, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.