Browsing Publications by Issue Date
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On a multichannel transportation loss system with controlled input and controlled service
(1987)A multichannel loss queueing system is investigated. The input stream is a controlled point process. The service in each of m parallel channels depends on the state of the system at certain moments of time when input and ... 
On a duality principle in processes of servicing machines with double control
(1988)This paper examines a doubly controlled process of servicing machines. The classical system treated by Takács is equipped with m+1 unreliable machines served by one repairman. In the present modification of this model, the ... 
On a multichannel queue with state dependent input flow and interruptions
(1989)This paper deals with a multichannel queueing system with a finite waiting room but without losses. The latter is achieved by a temporary interruption of the input flow activity until the waiting room is ready to place a ... 
On some queue length controlled stochastic processes
(1990)The authors study the input, output and queueing processes in a general controlled singleserver bulk queueing system. It is supposed that interarrival time, service time, batch size of arriving units and the capacity of ... 
A singleserver queue with random accumulation level
(1991)The author studies the queueing process in a singleserver 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 ... 
Error estimates for the semidiscrete finite element approximation of linear nonlocal parabolic equations
(1991)Existence and uniqueness are proved for nonlocal (in time) for solutions of linear parabolic partial differential equations. Instead of an initial condition, there is a relation connecting the initial value to values of ... 
A first passage problem and its applications to the analysis of a class of stochastic models
(1991)A problem of the first passage of a cumulative random process with generally distributed discrete or continuous increments over a fixed level is considered in the article as an essential part of the analysis of a class of ... 
On a singleserver queue with fixed accumulation level, state dependent service, and semimarkov modulated input flow
(1991)The authors study the queueing process in a singleserver queueing system with state dependent service and with the input modulated by a semiMarkov process embedded in the queueing process. It is also assumed that the ... 
A queueing system with a fixed accumulation level, random server capacity and capacity dependent service time
(1992)This paper introduces a bulk queueing system with a single server processing groups of customers of a variable size. If upon completion of service the queueing level is at least r the server takes a batch of size r and ... 
On a first passage problem in general queueing systems with multiple vacations
(1992)The author studies a generalized singleserver 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 ... 
First passage processes in Queuing system MX/Gr/1 with service delay discipline
(19920201)This article deals with a general singleserver 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 ... 
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 ... 
First excess levels of vector processes
(1994)This paper analyzes the behavior of a point process marked by a twodimensional renewal process with dependent components about some fixed (twodimensional) level. The compound process evolves until one of its marks hits ... 
Lajos Takács and his work
(19941001)This paper, written in honor of the 70th birthday of Lajos Takács, addresses his life and work, and includes some personal observations and appreciation of his contributions. In particular, it includes a short biography, ... 
Bulk input queues with quorum and multiple vacations
(1995)The authors study a singleserver queueing system with bulk arrivals and batch service in accordance to the general quorum discipline: a batch taken for service is not less than r and not greater than R(≥r). The server ... 
A sturm separation theorem for a linear 2nth order selfadjoint 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 applications of excess level processes to (N,D)policy bulk queueing systems
(1996)The paper deals with queueing systems in which N and Dpolicies are combined into one. This means that an idle or vacationing server will resume his service if the queueing or workload process crosses some specified fixed ... 
On the level crossing of multidimensional delayed renewal processes
(1997)The paper studies the behavior of an (l+3)thdimensional, delayed renewal process with dependent components, the first three (called active) of which are to cross one of their respective thresholds. More specifically, the ... 
DiniCampanato spaces and applications to nonlinear elliptic equations
(19990925)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 ... 
Oscillation criteria for a class of partial functionaldifferential equations of higher order
(2002)Higher order partial differential equations with functional arguments including hyperbolic equations and beam equations are studied. Sufficient conditions are derived for every solution of certain boundary value problems ...