Derivation of Product-Form Approximation for Tandem Queues via Matrix Geometric Method
نویسندگان
چکیده
We introduce a product-form approximation for tandem networks with Poisson arrivals and non-exponential service times. The proposed technique perturbates the model state space to match the sufficient conditions for product-form solution provided by the Compound Reversed Agent Theorem (RCAT). After characterizing the relation between RCAT product-forms and matrix geometric solutions, we develop an algorithm based on nonlinear programming that automatically searches for an approximating product-form model.
منابع مشابه
Product-Form Approximation of Tandem Queues via Matrix Geometric Methods
We introduce a product-form approximation for tandem networks with Poisson arrivals and non-exponential service times. The proposed technique perturbs the model state space to match the sufficient conditions for product-form solution provided by the Reversed Compound Agent Theorem (RCAT). After characterizing the relationship between RCAT productforms and matrix geometric solutions, we develop ...
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