By J. D. Murray (auth.)
From the reviews: "A reliable advent to a topic very important for its potential to avoid theoretical and sensible hindrances, and hence rather prized within the functions of arithmetic. The ebook provides a balanced view of the tools and their usefulness: integrals at the genuine line and within the advanced airplane which come up in several contexts, and recommendations of differential equations no longer expressible as integrals. Murray comprises either old comments and references to resources or different extra entire remedies. extra beneficial as a advisor for self-study than as a reference paintings, it truly is obtainable to any upperclass arithmetic undergraduate. a few workouts and a brief bibliography integrated. in spite of E.T. Copson's Asymptotic Expansions or N.G. de Bruijn's Asymptotic tools in Analysis (1958), any educational library could do good to have this wonderful introduction." (S. Puckette, collage of the South) #Choice Sept. 1984#1
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Extra resources for Asymptotic Analysis
Roy, M. Aloulou, and R. Kala¨ı, editors, Robustness in OR-DA, pages 145–171. LAMSADE, Paris, 2007. Annales du Lamsade no 7. 29. J. Liesi¨o, P. Mild, and A. Salo. Robust portfolio modelling with incomplete cost information and projects interdependencies. European Journal of Operational Research, 190:679–695, 2008. 30. M. Minoux. Duality, robustness, and 2-stage robust LP decision models. In B. Roy, M. Aloulou, and R. Kala¨ı, editors, Robustness in OR-DA, pages 173–190. LAMSADE, Paris, 2007. Annales du Lamsade no 7.
Ranking of suburban line extension projects on the Paris metro system by a multicriteria method. Transportation Research A, 16(4):301–312, 1982. 43. B. Roy, M. Pr´esent, and D. Silhol. A programming method for determining which Paris metro stations should be renovated. European Journal of Operational Research, 24:318–334, 1986. 44. E. S. Rocco. Solving advanced multi-objective robust designs by means of multiple objective evolutionary algorithms (MOEA): A reliability application. Reliability Engineering and System Safety, 92(6):697–706, 2007.
2) a proposal dealing with linear programming models in which only the coefficients of the constraint matrix are imperfectly known (the set S that allows the imperfect knowledge to be modeled being assumed finite). In addition, this proposal assumes that the decision-maker can tolerate a robust solution that does not verify all the constraints, if this is true only for a small number of elements s(S) and leads to a low cost solution. It also assumes that a solution that is mathematically infeasible is preferable to a solution that satisfies all the constraints but costs a lot more.