Least Squares Approximation to the Distribution of Project Completion Times with Gaussian Uncertainty
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DOI: 10.1287/opre.2016.1528
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- Qingxia Kong & Chung-Yee Lee & Chung-Piaw Teo & Zhichao Zheng, 2013. "Scheduling Arrivals to a Stochastic Service Delivery System Using Copositive Cones," Operations Research, INFORMS, vol. 61(3), pages 711-726, June.
- Dick Den Hertog & Etienne De Klerk & Kees Roos, 2002.
"On convex quadratic approximation,"
Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 56(3), pages 376-385, August.
- den Hertog, D. & de Klerk, E. & Roos, J., 2000. "On Convex Quadratic Approximation," Discussion Paper 2000-47, Tilburg University, Center for Economic Research.
- Yosef Rinott & Vladimir Rotar, 2000. "Normal approximations by Stein's method," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 23(1), pages 15-29.
- Shipra Agrawal & Yichuan Ding & Amin Saberi & Yinyu Ye, 2012. "Price of Correlations in Stochastic Optimization," Operations Research, INFORMS, vol. 60(1), pages 150-162, February.
- Bajis Dodin, 1984. "Determining the K Most Critical Paths in PERT Networks," Operations Research, INFORMS, vol. 32(4), pages 859-877, August.
- Bajis M. Dodin & Salah E. Elmaghraby, 1985. "Approximating the Criticality Indices of the Activities in PERT Networks," Management Science, INFORMS, vol. 31(2), pages 207-223, February.
- J. H. Lindsey, 1972. "An Estimate of Expected Critical-Path Length in PERT Networks," Operations Research, INFORMS, vol. 20(4), pages 800-812, August.
- Bajis Dodin, 1985. "Bounding the Project Completion Time Distribution in PERT Networks," Operations Research, INFORMS, vol. 33(4), pages 862-881, August.
- Karthik Natarajan & Chung Piaw Teo & Zhichao Zheng, 2011. "Mixed 0-1 Linear Programs Under Objective Uncertainty: A Completely Positive Representation," Operations Research, INFORMS, vol. 59(3), pages 713-728, June.
- Charles E. Clark, 1961. "The Greatest of a Finite Set of Random Variables," Operations Research, INFORMS, vol. 9(2), pages 145-162, April.
- J. P. Royston, 1982. "Expected Normal Order Statistics (Exact and Approximate)," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 31(2), pages 161-165, June.
- D. R. Fulkerson, 1962. "Expected Critical Path Lengths in PERT Networks," Operations Research, INFORMS, vol. 10(6), pages 808-817, December.
- Gerald G. Brown & Robert F. Dell & R. Kevin Wood, 1997. "Optimization and Persistence," Interfaces, INFORMS, vol. 27(5), pages 15-37, October.
- R. A. Bowman, 1995. "Efficient Estimation of Arc Criticalities in Stochastic Activity Networks," Management Science, INFORMS, vol. 41(1), pages 58-67, January.
- Karthik Natarajan & Miao Song & Chung-Piaw Teo, 2009. "Persistency Model and Its Applications in Choice Modeling," Management Science, INFORMS, vol. 55(3), pages 453-469, March.
- Gerald G. Brown & Kelly J. Cormican & Siriphong Lawphongpanich & Daniel B. Widdis, 1997. "Optimizing submarine berthing with a persistence incentive," Naval Research Logistics (NRL), John Wiley & Sons, vol. 44(4), pages 301-318, June.
- Banerjee, Arunava & Paul, Anand, 2008. "On path correlation and PERT bias," European Journal of Operational Research, Elsevier, vol. 189(3), pages 1208-1216, September.
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Cited by:
- Lili Zhang & Zhengrui Chen & Dan Shi & Yanan Zhao, 2023. "An Inverse Optimal Value Approach for Synchronously Optimizing Activity Durations and Worker Assignments with a Project Ideal Cost," Mathematics, MDPI, vol. 11(5), pages 1-21, February.
- Sheng Liu & Long He & Zuo-Jun Max Shen, 2021. "On-Time Last-Mile Delivery: Order Assignment with Travel-Time Predictors," Management Science, INFORMS, vol. 67(7), pages 4095-4119, July.
- Yuanguang Zhong & Zhichao Zheng & Mabel C. Chou & Chung-Piaw Teo, 2018. "Resource Pooling and Allocation Policies to Deliver Differentiated Service," Management Science, INFORMS, vol. 64(4), pages 1555-1573, April.
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Keywords
distribution approximation; persistency; Stein’s identity; project management; statistical timing analysis;All these keywords.
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