Depot location with rectilinear distances / Lakdere Benkherouf (1985) 

Public ISBD Titre : Depot location with rectilinear distances Type de document : texte imprimé Auteurs : Lakdere Benkherouf, Auteur ; C. D. T. Watson-Gandy, Directeur de thèse Editeur : University of London Année de publication : 1985 Importance : 51 f. Présentation : ill. Format : 27 cm. Note générale : Mémoire de Master : Management Science : Londre, University of London : 1985 Bibliogr. f. 52 - 55 . Annexe f. 56 - 66 Langues : Anglais (eng) Mots-clés : Weber's problem Rectilinear depot location Optimal location Index. décimale : Ms00285 Résumé : In weber's problem, which is concerned with finding the location of a firm with respect to its suppliers and its customers, one mostly uses Euclidean distances. In a continuous space, the assumption of rectilinear distances permits simpler methods of finding the optimum solutions. Sometimes, this assumption fits perfectly with reality. Generally, the approximation is not worse than that of the Euclidean assumption. In this report, methods of solving the rectilinear depot location are described. Also, the implication of rotating the axes on the optimal location is considered. A quadratic programming formulation of the problem was set as a means to solving such problems. The location when dealing with skew axes is also considered. Depot location with rectilinear distances [texte imprimé] / Lakdere Benkherouf, Auteur ; C. D. T. Watson-Gandy, Directeur de thèse . - University of London, 1985 . - 51 f. : ill. ; 27 cm. Mémoire de Master : Management Science : Londre, University of London : 1985 Bibliogr. f. 52 - 55 . Annexe f. 56 - 66 Langues : Anglais (eng) Mots-clés : Weber's problem Rectilinear depot location Optimal location Index. décimale : Ms00285 Résumé : In weber's problem, which is concerned with finding the location of a firm with respect to its suppliers and its customers, one mostly uses Euclidean distances. In a continuous space, the assumption of rectilinear distances permits simpler methods of finding the optimum solutions. Sometimes, this assumption fits perfectly with reality. Generally, the approximation is not worse than that of the Euclidean assumption. In this report, methods of solving the rectilinear depot location are described. Also, the implication of rotating the axes on the optimal location is considered. A quadratic programming formulation of the problem was set as a means to solving such problems. The location when dealing with skew axes is also considered.

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Optimal stopping rules in oil exploration / Lakdere Benkherouf (1988)

Public ISBD Titre : Optimal stopping rules in oil exploration Type de document : texte imprimé Auteurs : Lakdere Benkherouf, Auteur ; J.A. Bather, Directeur de thèse Editeur : London : [s.n.] Année de publication : 1988 Importance : 133 f. Présentation : ill. Format : 30 cm. Note générale : PhD Thesis: Mathematics : London, Imperial college of science and technology : 1988 Bibliogr. f. 131 - 133 Langues : Anglais (eng) Mots-clés : Optimal -- stopping rules Oil exploration Index. décimale : D000388 Résumé : In the thesis, we are concerned with obtaining optimal strategies for drilling in oil exploration. The criterion for optimality is the maximum expected return. In the first part of the thesis, a simple bayesian model for oil exploration is introduced. A condition on the way successes and failures affect the prior distribution implies a certain form of the detection mechanism. It is shown that the problem reduces to an optimal stopping problem. Three new families of distributions are obtained with generating functions related to classical work on partitions of integers. By using such distributions and simple mixtures of them as priors, the stopping problem can be solved explicitly. This leads to the construction of simple strategies and their effectiveness is demonstrated by evaluating suitable operating characteristics. Then, the distribution representing the number of undiscovered fields is approximated by one of the new distributions obtained in the first part and the approximate stopping problem is investigated. Optimal stopping rules in oil exploration [texte imprimé] / Lakdere Benkherouf, Auteur ; J.A. Bather, Directeur de thèse . - London : [s.n.], 1988 . - 133 f. : ill. ; 30 cm. PhD Thesis: Mathematics : London, Imperial college of science and technology : 1988 Bibliogr. f. 131 - 133 Langues : Anglais (eng) Mots-clés : Optimal -- stopping rules Oil exploration Index. décimale : D000388 Résumé : In the thesis, we are concerned with obtaining optimal strategies for drilling in oil exploration. The criterion for optimality is the maximum expected return. In the first part of the thesis, a simple bayesian model for oil exploration is introduced. A condition on the way successes and failures affect the prior distribution implies a certain form of the detection mechanism. It is shown that the problem reduces to an optimal stopping problem. Three new families of distributions are obtained with generating functions related to classical work on partitions of integers. By using such distributions and simple mixtures of them as priors, the stopping problem can be solved explicitly. This leads to the construction of simple strategies and their effectiveness is demonstrated by evaluating suitable operating characteristics. Then, the distribution representing the number of undiscovered fields is approximated by one of the new distributions obtained in the first part and the approximate stopping problem is investigated.

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