Titlebook: Information Technologies and Mathematical Modelling. Queueing Theory and Applications; 21st International C Alexander Dudin,Anatoly Nazarov

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,Analysis of Retrial Queueing System with Two-Way Communication in Different Scenarios Using Simulaturce according to an exponential distribution, are referred to as primary customers. If the service unit is available, these customers will receive service immediately, but if not, they are redirected to the orbit and attempt to reach the server again after a random amount of time. The system is uni

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,An Explicit Solution for an Inventory Model with Server Interruption and Retrials,nential distribution. Upon arrival, finding the server busy the customers enter into an orbit from where they retry for service at a constant retrial rate. While the server serves a customer the service can be interrupted, the inter occurrence time of interruption being exponentially distributed. Fo

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,Asymptotic Analysis of the M/M/1/N−1 Retrial System with Priority and Feedback,ity customers come with a certain probability and get into service if the server is free. If the server is busy, they get into the queue. If the buffer is full, then the customer goes into an orbit, where it waits for a random time and tries again to get into service or into the queue. Non-priority

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,Modelling of a MAP/PH(1),PH(2)/2 Production Inventory System with Multiple Servers and Production Vction facility and two heterogeneous servers taking advantage of multiple vacations. Servers have a phase type distributed service time, and the time to produce an item is exponentially distributed. The reloading of the inventory is done as per the (., .) policy. Once the stock level of goods reache

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,A Discrete Time Perishable Inventory System Under (s, S) policy and Age-Dependent-Requests, be a Bernoulli and lead time and service time geometric we define a suitable cost function for the model. An arriving customer will accept or reject an item depending on its manufacturing date and expiry date. We analyse the model using the Matrix Analytic Method. Numerical experiments are also per

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,N-Policy on a Retrial Inventory System,istribution. Service time is distributed exponentially. When the customer arrives, he joins a buffer of finite size S. The server begins to provide service only when there are N customers in the buffer, and it shuts down when the buffer is empty or the inventory reaches zero. The client exits the sy

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,Estimating the Distribution Function Using Parametric Methods in Informative Model of Random Censor both sides. During the investigation of these estimators, we utilized the characterization properties of the informative model to gather insights. Additionally, we discussed the properties of these estimators using numerical modeling methods.