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  • 1970-1974  (50)
  • 1974  (50)
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  • 1970-1974  (50)
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  • 1
    ISSN: 1432-5217
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Economics
    Description / Table of Contents: Summary A general formulation of decomposition methods for finding saddle-points of convexconcave functions is proposed.
    Notes: Zusammenfassung Es wird eine allgemeine Formulierung des Dekompositionsverfahrens zur Lösung konvex-konkaver Sattelpunktprobleme angegeben.
    Type of Medium: Electronic Resource
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  • 2
    ISSN: 1432-5217
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Economics
    Description / Table of Contents: Summary The planning process of regional and intercommunity waste water collection and treatment systems — a subproblem in the field of environmental pollution control — is discussed. The mathematical formulation of this problem is derived as a nonlinear (concave) minimization problem, which is transformed into a linear, binary optimization. The special structure of the constraints set and of the objective function allows to use a modification of theBalas-algorithm. This modified version is more efficient as to computation time than the original one and hence can be easily applied to practical problems.
    Notes: Zusammenfassung Das Problem der Planung regionaler Abwasserbehandlungssysteme — ein Teilgebiet der Umweltschutzplanung — wird vorgestellt. Die mathematische Modellierung dieses Problems führt auf ein nichtlineares (konkaves) Minimierungsproblem, das durch entsprechende Transformation in ein lineares, binäres Optimierungsproblem abgebildet wird. Die spezielle Struktur der Nebenbedingungen und der Zielfunktion erlauben eine besondere Anpassung desBalas-Algorithmus, womit erheblich bessere Rechenzeiten erzielt und die Lösung praktischer Aufgabenstellungen möglich werden.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    ISSN: 1432-5217
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Economics
    Notes: Summary The aim of this paper is to show that the product of nonlinear concave nondifferentiable functions which take nonnegative values, is strictly quasi concave. If the functions are concave differentiable and positive the product function is shown to be pseudo-concave.
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    ISSN: 1432-5217
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Economics
    Notes: Summary The balancing of the supply and the demand of highly educated manpower is the purpose of this paper. When the forecast for the demand is given, the balancing is achieved by a suitable educational policy. If there is an excess of supply, then instead of having these ‘excess’ persons a taxpayers, the society must provide for their re-education or the unemployment aid in addition to their previous useless education. On the other hand, if there is shortage of qualified manpower, the pace of economic progress is delayed since the society either has to make without or to utilize inadequately educated manpower or to import foreign specialists. The planning of the educational system is presented here as a mathematical problem in a general case. In the model a method is developed for deciding an optimal enrolment policy in higher education into different specialties in order to supply the need for these specialists in the future according to the demand forecast. The model also gives the transition policy from the present, possibly not optimal enrolment policy. The restrictions to the educational system are presented by the number of the potential enrolments and by the capacity of the educational system.
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    ISSN: 1432-5217
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Economics
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    ISSN: 1432-5217
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Economics
    Notes: Abstract This note shows that convexity cuts defined relative to polyhedral convex sets can utilize negative as well as positive edge extensions under appropriate circumstances, yielding stronger cuts than customarily available. We also show how to partially collapse the polyhedron to further improve these cuts.
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  • 7
    ISSN: 1432-5217
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Economics
    Notes: Summary This paper considers the dynamic inventory model with a discrete demand. There is a constant lead time, backlogging of excess demand, a fixed set-up cost, and holding and shortage costs whose negatives are unimodal. The criterion is the long-run average cost. A value iteration method with discount factor approaching to 1 is studied. This value iteration method supplies policies of the (s,S) type and convergent upper and lower bounds on the minimal average cost. Further, the average cost of the (s n ,S n ) policy found at then-th iteration lies between the corresponding upper and lower bound. Also, for alln sufficiently large the (s n ,S n ) policy is average cost optimal. Computational considerations are given for the special case of linear holding and shortage costs.
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  • 8
    ISSN: 1432-5217
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Economics
    Description / Table of Contents: Zusammenfassung Einige allgemeine Ergebnisse der Theorie der Effizienz werden auf Portefeuilleselektion angewandt, auf der Basis der ersten beiden Momente der Renditenverteilung. Ein arbiträres effizientes Portefeuille kann mittels homogener Programmierung errechnet werden. Das zugehörige Dualitätstheorem erlaubt, wenn der Marktzinssatz gegeben ist, die Wahl eines optimalen Portefeuilles aus der effizienten Menge. Dieses stellt dann die sicherst mögliche Kapitalsanlage dar, unter der Beschränkung, daß die Grenzkosten des (aufgenommenen) Kapitals nicht seinen Grenzertrag übersteigen. Die ersten drei Abschnitte enthalten die theoretischen Entwicklungen, Abschnitt 4 bringt ein Beispiel mit 54 Aktien.
    Notes: Summary Some general results of efficiency theory are applied to the selection of portfolios on the basis of the first two moments of their yield distributions. An arbitrary efficient portfolio can be computed by homogeneous programming. The corresponding duality theorem selects, given the market interest rate, anoptimal portfolio from the efficient set. The first three sections develop this specialized (and sharper) theory for the portfolio selection case. Section 4 applies it to a 54 stock example.
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  • 9
    ISSN: 1432-5217
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Economics
    Description / Table of Contents: Summary The costs of production in multi-product companies with joint-production can be considerably decreased by using the described model because this model enables the user to comprehend simultaneously all raw materials, all intermediates and all finished products without allocating the costs. Furthermore special mathematical knowledge is not required, since the model is also applicable to companies without operations research department.
    Notes: Zusammenfassung Die Kosten der Produktion bei Mehrproduktunternehmen mit Kuppelproduktion können durch die Anwendung des beschriebenen Verfahrens erheblich gesenkt werden, da es mit dem Modell möglich ist, alle Einkaufsartikel, Zwischenprodukte und Endprodukte gleichzeitig ohne willkürliche Kostenaufteilung zu erfassen. Außerdem werden an den Benutzer keine besonderen mathematischen Kenntnisse gestellt, so daß das Modell auch für Produktionsunternehmen ohne OR-Abteilung anwendbar ist.
    Type of Medium: Electronic Resource
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  • 10
    ISSN: 1432-5217
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Economics
    Description / Table of Contents: Summary The following case-study has been implemented in summer 1973 in one of the leading companies of German food industry. The storage of finished goods was expected to be too high. Of an assortment of 52 products 12 could only be manufactured seasonally from September to December, the others during the whole year. A statistical analysis of sales showed that unlike the policy applied before seasonal and non-seasonal manufactured goods couldn't be treated the same way. The result of the study showed that the storage of seasonal food was too low whereas the storage of non-seasonal goods proved to be too high.
    Notes: Zusammenfassung Die Studie hat als Grundlage statistische Erfassungen von Absatzschwankungen für ein Werkslager und Auslieferungsläger. Aus diesen Schwankungen wurden neue Sicherheitsbestände ermittelt und zur Realisierung vorgeschlagen. Die Geschäftsleitung prüfte die Vorschläge, die Wahrscheinlichkeitsaussagen für stock-outs enthielten. Daraufhin wurden neue Sicherheitsbestände beschlossen, die niedriger waren als in der Studie vorgeschlagen, d.h. erst nachdem das Lieferrisiko in Form der Wahrscheinlichkeitsaussagen aufgezeigt war, konnte die Geschäftsleitung ihre Risikobereitschaft besser quantifizieren. Das bedeutete in diesem Fall eine Erhöhung des Risikos.
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