New Deterministic Solution to a chance constrained linear programming model with Weibull Random Coefficients
Tài liệu tham khảo
Acharya, 2011, Solving probabilistic programming problems involving multi-choice parameters", OPSEARCH, 48, 217, 10.1007/s12597-011-0053-2
Ackooij, 2011, On joint probabilistic constraints with Gaussian coefficients matrix", Operations Research Letters, 39, 99, 10.1016/j.orl.2011.01.005
Atalay, 2011, Gamma distribution approach in chance constrained stochastic programming model", Journal of Inequalities and Applications, 108, 1
Billingsley, 1979
Biswal, 1998, "Theory and Methodology, Probabilistic Linear Programming Problems with Exponential Random Variables: A Technical Note", European Journal of Operational Research, 111, 589, 10.1016/S0377-2217(97)90319-2
Charles, V., Ansari, S.I., & Khalid, M.M. (2009). "Multi-Objective Stochastic Linear Programming with General form of Distributions", Extracted on 25/11/2012 from 〈http://www.optimization-online.org/DB_HzTML/2009/11/2448.html〉.
Charnes, 1972
El-Ayadi, 2012, "On the cumulative distribution function of the sum and harmonic mean of two α – μ random variables with applications", IET Communications, 6, 3122, 10.1049/iet-com.2012.0271
Filho, 2006, "Simple Precise Approximations to Weibull Sums", IEEE Communications Letters, 10, 614, 10.1109/LCOMM.2006.1665128
Hager, 1963
Jagannathan, 1974, "Chance‐Constrained Programming with Joint Constraints", Operations Research, 22, 358, 10.1287/opre.22.2.358
Jeeva, 2004, An Application of Stochastic Programming with Weibull Distribution‐Cluster Based Optimum Allocation of Recruitment in Manpower Planning", Stochastic Analysis and Applications, 22, 801, 10.1081/SAP-120030457
Kataria, 2009, "Distributional Assumptions in Chance Constrained Programming Models of Stochastic Water Pollution", Environmental Modeling and Assessment, 15, 273, 10.1007/s10666-009-9205-7
Lee, 2003
Lingaraj, 1974, "Certainty Equivalent of a Chance Constrained if the Random Variable Follows a Gamma Distribution", The Indian Journal of Statistics, 36, 204
Millar, 1965, "Chance Constrained Programming with Joint Constraints", Operations Research, 13, 930, 10.1287/opre.13.6.930
Nadarajah, 2008, "A Review on Sums of Random Variables", Acta Applicandae Mathematicae, 103, 131, 10.1007/s10440-008-9224-4
Nishakova, I. (2010). "Introduction to Optimization with Stochastic Uncertainties", extracted at 15/11/2012 from: 〈http://www.tu-chemnitz.de/mathematik/part_dgl/teaching/ss2010_Seminar_Optimierung/index.en.php〉.
Pham, 2006, "Weibull Distributions and their Applications", Springer Handbook of Engineering Statistics, 10.1007/978-1-84628-288-1
Sengupta, 1963, "On Some Theorems of Stochastic Linear Programming with Applications", Management Science, 10, 143, 10.1287/mnsc.10.1.143
Sengupta, 1970, "A Generalization of Some Distribution Aspects of Chance‐Constrained Linear Programming", International Economic Review, 11, 287, 10.2307/2525670
Sengupta, 1972, "Chance‐Constrained Linear Programming with Chi‐Square Type Variates", Journal of Management Science, 19, 337, 10.1287/mnsc.19.3.337
Sengupta, 1972
Symonds, 1967, Deterministic solutions for a class of chance-constrained programming problems, Operations Research, 15, 495, 10.1287/opre.15.3.495
Taha, 2007
Yilmaz, F., & Alouini, M.S. (2009). "Sum of Weibull variates and performance of diversity systems", In Proceedings of International Conference on Wireless Communications and Mobile Computing, New York, USA, 247-252.