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In a multi server queuing system, buffer size is often larger than the number of servers.
This necessitates queuing and waiting for some customers. Customers become impatient while
waiting for service. Additionally, they may also become impatient if service is not
offered at the desired rate. This paper analyses a finite buffer multi server queuing
system with the additional restriction that customers may balk as well as renege. Closed
form expressions...
In this work we study the multivalued complementarity problem on
the non-negative orthant. This is carried out by describing
the asymptotic behavior of the sequence of approximate
solutions to its multivalued variational inequality formulation.
By introducing new classes of multifunctions we provide several
existence (possibly allowing unbounded solution set), stability as well as
sensitivity results which extend and
generalize most of the existing ones in the literature.
We also present some kind...
In this paper, we study the differentiability of the trajectories of the logarithmic barrier algorithm for a nonlinear
program when the set Λ* of the Karush-Kuhn-Tucker multiplier vectors is empty
owing to the fact that the constraint qualifications are not satisfied.
In the setting of a real Hilbert space , we investigate the asymptotic behavior, as time t goes to infinity, of trajectories of second-order evolution equations ü(t) + γ(t) + ∇ϕ(u(t)) + A(u(t)) = 0, where ∇ϕ is the gradient operator of a convex differentiable potential function ϕ: ,A: is a maximal monotone operator which is assumed to beλ-cocoercive, and γ > 0 is a damping parameter. Potential and non-potential effects are associated respectively to ∇ϕ and A. Under condition...
In the setting of
a real Hilbert space , we investigate the asymptotic behavior, as time t goes to infinity, of trajectories of second-order evolution
equations
ü(t) + γ(t) + ∇ϕ(u(t)) + A(u(t)) = 0,
where ∇ϕ is the gradient operator of a convex
differentiable potential function
ϕ : , A : is a maximal monotone operator which is assumed to be
λ-cocoercive, and γ > 0 is a damping parameter.
Potential and non-potential effects are associated respectively to
∇ϕ and A. Under condition...
We first motivate and define a notion of asymptotic
differential approximation ratio. For this, we introduce a new class of
problems called radial problems including in particular the hereditary
ones. Next, we validate the definition of the asymptotic differential
approximation ratio by proving positive, conditional and negative
approximation results for some combinatorial problems. We first derive a
differential approximation analysis of a classical greedy algorithm for
bin packing, the “first...
We study the limit behavior of certain classes of dependent random sequences (processes) which do not possess the Markov property. Assuming these processes depend on a control parameter we show that the optimization of the control can be reduced to a problem of nonlinear optimization. Under certain hypotheses we establish the stability of such optimization problems.
In der Arbeit geht es um die Charakteristik des allgemeinen Begriffs der asymptotischen Berührung von solchen abgeschlossenen, konvexen Mengen in , wo ihr Abstand gleich Null und ihr Durchschnitt leer ist. Es wird gezeigt, dass unter diesem Umstand man dem fraglichen Mengenpaar ein Tripel von natürlichen Zahlen (die Ordnung der Berührung, der Grad der Berührung und die Diemnsion des zugehörigen asymptotischen, linearen Raumes), welches eine Charakteristik dieser Berührung darstellt, eindeutig zuordnen...
In this paper, the augmented Lagrangian method is investigated for solving recourse problems and obtaining their normal solution in solving two-stage stochastic linear programming problems. The objective function of stochastic linear programming problem is piecewise linear and non-differentiable. Therefore, to use a smooth optimization methods, the objective function is approximated by a differentiable and piecewise quadratic function. Using quadratic approximation, it is required to obtain the...
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