This paper investigates a double-source queuing-inventory system with a finite buffer operating under a hybrid replenishment policy. When the inventory level decreases to the reorder pointAs, a regular order of fixed size Q = S-s is placed with a slow but economical supplier, where S denotes the maximum warehouse capacity. If the inventory level further drops below a lower threshold r (r < s), AAthe ongoing regular order is canceled and an emergency order is submitted to a faster yet more expensive supplier in order to restore the inventory to level S upon delivery. The steady-state probability distribution of the system is obtained, and analytical expressions for key performance measures are derived.
This article is devoted to the development of a method for proactively managing web GIS resources for visualizing geophysical fields. An approach based on semantic clustering of streaming data is proposed, taking into account not only spatial coordinates but also tensor characteristics of objects. A modified clustering algorithm with an adaptive switching mechanism between modes optimizes the use of computing resources through proactive data preparation. Experimental results demonstrate the effectiveness of the proposed approach: content loading time is reduced to 2.3 seconds, video memory consumption is reduced by 42%, Aand interactivity is increased by 35-40% compared to traditional methods.
The properties of the band form of the solution to A.N. Krylov's problem are described. On this basis, we present tape analogues of the controllability and observability criteria, as well as calculation formulas for synthesizing controllers based on the specified coefficients of the characteristic polynomial, both for systems with a single input and single output (SISO systems) and for systems with multi inputs and multi outputs (MIMO systems).
The process of filling an associative cache with the most frequently accessed objects is examined. The study is based on a perfect eviction strategy with errors, modeled by a multivariate Markov chain. Estimates of the cache hit probability for arbitrary associativity are obtained analytically. The applicability of these estimates is demonstrated.
The paper presents an adaptive output-feedback control algorithm for linear time-invariant multi-input multi-output systems subjected to unmatched unknown disturbances. The control algorithm is based on the Falb-Wolovich decoupling method combined with a direct disturbance compensation technique derived from the internal model principle. The main advantage of the proposed algorithm is that the adaptive law becomes easier to tune due to the decoupling strategy application. By properly selecting the adaptation gains independently the balance between the convergence speed and robustness according to the desired performance requirements can be achieved. In addition, it is possible to get improved control performance in situations where negative inter-channel coupling of an original system has an adverse effect to the overall dynamic of the system. The effectiveness of the proposed method is demonstrated through numerical simulations performed in MATLAB/Simulink.
