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One of the most important concepts in value theory or utility theory is the notion of independence among variables or additivity of values. Its importance stems from numerous multiple-criteria procedures used for rating people, products, and other things. Most of these rating procedures rely on...
This article is concerned with some problems that occur in certain tactical considerations: how should one place k circles (spheres) in the plane (3-space) so that their union has the greatest standard normal probability measure, that is, so as to maximize the probability that a random normal...
Let there be associated with each arc of a directed, acyclic network a random variable, conveniently referred to as the arc passage time. It is assumed that the arc passage times are independent and have a finite range. A method is presented for the efficient computation of the density function...
A tandem stage queuing system has n stages A 1 , A 2 , …, A n in series, where stage A i consists of m i parallel channels each having the same constant service time s i . In addition, one of the stages may be a single-channel stage A j having variable service times that are always ≧ s i / m...
From a large-scale transportation problem (I) a smaller one (II) is derived by the aggregation of origins (destinations). A procedure is given to find an optimal solution X to problem I, starting from an optimal solution Y to problem II, and considering at each step only a small part of the...
A linear programming model of the production process for transistors is presented. The model has been used in production planning to select materials, processing variables, and activity levels. Model formulation, data collection, operation, and results are described.
This paper considers stochastic models of large battles. Such battle models are said to be stochastically determined if the gross results—for example, the casualties to each side—show low variance in repeated plays in which only the random numbers are changed. Here, low variance means a...
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