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Stochastic queue core problem with an efficient length on a tree network

Jafar FathaliMehdi Zaferanieh — 2025

Kybernetika

In this paper, we consider a stochastic queue core ( S Q C ) problem on a tree network, aiming to identify a path P , called the core, in an M / G / 1 environment system. Let T be a tree network, the S Q C problem on T involves finding a core P , with an optimal length, that minimizes the total weighted travel time from all vertices to the core as well as the average response time to the customer demands. We assume that a mobile server traverses the core to provide services to customers, while customers move to their...

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