‎In this paper allocating a fixed resource for producing ‎finite projects in order to obtaining a desired level of‎ ‎efficiency will be discussed‎. ‎Note that it is assumed that a ‎vector of limited sources is at hand‎. ‎This vector of resources can‎ ‎be contained human resource‎, ‎budget‎, ‎equipment‎, ‎and facilities‎. ‎In ‎any firm there exist different suggestions from subunits for ‎running...

New types of characterization of Pareto efficiency based on data envelopment analysis are extended here in several new directions involving allocative efficiency and stochastic filtering methods.

This paper studies the capacity allocation game between duopolistic airlines which could offer callable products. Previous literature has shown that callable products provide a riskless source of additional revenue for a monopolistic airline. We examine the impact of the introduction of callable products on the revenues and the booking limits of duopolistic airlines. The analytical results demo...

From the geometrical path statistics of rays in an anomalous-diffraction theory (ADT) [Opt. Lett. 28, 179 (2003)] closed-form expressions for the geometrical path distribution of rays and analytical formulas for the optical efficiencies of finite circular cylinders oriented in an arbitrary direction with respect to the incident light are derived. The characteristics of the shapes of the cylinde...

In this work, we describe the behaviour of the numerical cell entropy production for several schemes. The numerical results we show indicate that numerical entropy production can be used to estimate the local error in regions of smoothness and to locate shocks. Thus the numerical entropy production can be computed at each time step to monitor the numerical solution produced by a scheme. The inf...

In this paper we derive the exact analytical expressions for the information and covariance matrices of the multivariate Burr and related distributions. These distributions arise as tractable parametric models in reliability, actuarial science, economics, finance and telecommunications. We show that all the calculations can be obtained from one main moment multi dimensional integral whose expre...

Many disputes between buyers and sellers concern product quality and whether a claim of poor product performance is covered by a warranty issued by the seller. We develop an analytical framework in which average product quality, buyer preferences, production and transaction costs, and the extent to which "true" quality can be observed by buyer and seller interact to determine warranties, produc...