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Now showing items 1-10 of 57

#### First excess levels of vector processes

(1994)

This paper analyzes the behavior of a point process marked by a two-dimensional renewal process with dependent components about some fixed (two-dimensional) level. The compound process evolves until one of its marks hits ...

#### A single-server queue with random accumulation level

(1991)

The author studies the queueing process in a single-server bulk queueing system. Upon completion of a previous service, the server can take a group of random size from customers that are available. Or, the server can wait ...

#### On applications of Little's formula

(1993)

In classical Little's formula L=λW used in queueing, the parameter λ serves as the intensity of the input process. In various applications this parameter may not be known. The author discusses important classes of modulated ...

#### A sturm separation theorem for a linear 2nth order self-adjoint differential equatio

(1995)

For the 2nth order equation, (−1)nv(2n)+qv=0, with q continuous, we obtain a Sturm Separation theorem, involving n+1 solutions of the equation, which is somewhat analogous to the classical result that the zeros of two ...

#### On a first passage problem in general queueing systems with multiple vacations

(1992)

The author studies a generalized single-server queueing system with bulk arrivals and batch service, where the server takes vacations each time the queue level falls below r(≥1) in accordance with the multiple vacation ...

#### On a single-server queue with fixed accumulation level, state dependent service, and semi-markov modulated input flow

(1991)

The authors study the queueing process in a single-server queueing system with state dependent service and with the input modulated by a semi-Markov process embedded in the queueing process. It is also assumed that the ...

#### On the level crossing of multi-dimensional delayed renewal processes

(1997)

The paper studies the behavior of an (l+3)th-dimensional, delayed renewal process with dependent components, the first three (called active) of which are to cross one of their respective thresholds. More specifically, the ...

#### First passage processes in Queuing system MX/Gr/1 with service delay discipline

(1992-02-01)

This article deals with a general single-server bulk queueing system with a server waiting until the queue will reach level r before it starts processing customers. If at least r customers are available the server takes a ...

#### Dini-Campanato spaces and applications to nonlinear elliptic equations

(1999-09-25)

We generalize a result due to Campanato [C] and use this to obtain regularity results for classical solutions of fully nonlinear elliptic equations. We demonstrate this technique in two settings. First, in the simplest ...

#### Random Fixed Point Theorems for Nonexpansive and Contractive-Type Random Operators on Banach Spaces

(1994)

The existence of random fixed points for nonexpansive and pseudocontractive random multivalued operators defined on unbounded subsets of a Banach space is proved. A random coincidence point theorem for a pair of compatible ...