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“Diversifying the Risk Associated with Exploration”

Authors: Sjur D. Flåm and Sverre Storøy
Affiliation: Christian Michelsen Institute and University of Bergen
Reference: 1986, Vol 7, No 2, pp. 83-92.

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Keywords: Stochastic models, entalpic pentalty, portfolio problems

Abstract: This paper is concerned with the allocation of exploratory efforts under the limitation of a fixed budget. A chance constrained problem is formulated. To solve this problem an algorithm is developed which is based on the entropic penalty approach recently presented by Ben-Tal.

PDF PDF (834 Kb)        DOI: 10.4173/mic.1986.2.3

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References:
[1] ALLAIS, M. (1957). Method of Appraising Economic Prospects of Mining Exploration over Large Territories, Management Science, 3, pp. 285-347.
[2] BARCOUCH, E., and HAUFMAN, G.M. (1977). Estimation of undiscovered Oil and Gas, Proceedings of the Symposium in Applied Math., American Mathematical Society, 21, pp. 77-91.
[3] BEN-TAL, A. (1985). The Entropic Penalty Approach to Stochastic Programming, Mathematics of Operations Research, 10, 2, doi:10.1287/moor.10.2.263
[4] FERGUSON, R. (1967). Mathematical Statistics, A Decision Theoretic Approach (Academic Press, New York).
[5] FLÅM, S.D., and PINTER, J. (1985). Selecting Oil Exploration Strategies: Some Stochastic Problem Formulations and Solution Methods, CMI-Report no. 852611-1, Chr. Michelsen Institute, Bergen.
[6] GOLUB, G.H., and VAN LOAN, C.F. (1983). Matrix Computations (John Hopkins University Press, Baltimore).
[7] KALLBERG, F.G., and ZIEMBA, W.T. (1984). Mis-specifications of Portfolio Selection Problems, pp. 74-87 in G. Bamberg and K. Spreman (eds): Risk and Capital, Lecture Notes in Economics and Mathem. Systems, 227, Springer Verlag, N.Y.
[8] LUENBERGER, D.G. (1984). Linear and Nonlinear Programming, Second Edition, Addison Wesley.
[9] MANGASARIAN, O.L. (1984). Some Application of Penalty Functions in Mathematical Programming, Computer Sciences Technical Report #544, University of Wisconsin.
[10] PULLEY, L.B. (1983). Mean Variance Approximations to Expected Logarithmic Utility, Operations Research, 31, 4, 685-696, doi:10.1287/opre.31.4.685
[11] RUBINSTEIN, R.Y. (1981). Simulation and the Monte Carlo Method (John Wiley, New York).
[12] SCHUENEMEYER, F.H., and DREW, L.F. (1983). A Procedure to Estimate the Present Population of the Size of Oil and Gas Fields as Revealed by a Study of Economic Truncation, Mathematical Geology, 15, 1, pp. 145-161, doi:10.1007/BF01030080


BibTeX:
@article{MIC-1986-2-3,
  title={{Diversifying the Risk Associated with Exploration}},
  author={Fl{\aa}m, Sjur D. and Stor{\o}y, Sverre},
  journal={Modeling, Identification and Control},
  volume={7},
  number={2},
  pages={83--92},
  year={1986},
  doi={10.4173/mic.1986.2.3},
  publisher={Norwegian Society of Automatic Control}
};

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