A new model for the M/G/1 retrial queve
This article deals with a new model for the M/G/1 retrial queue. We consider the process (M(t),N(t)) where M(t) is the total number of arrivals from the last departure until time t and N(t) is the number of customers in orbit at time t. We obtain the generating function together with a recurrent for...
| Autores: | , , |
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| Tipo de documento: | relatório científico |
| Data de publicação: | 1994 |
| País: | España |
| Recursos: | Universidad Complutense de Madrid (UCM) |
| Repositório: | Docta Complutense |
| Idioma: | inglês |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/64091 |
| Acesso em linha: | https://hdl.handle.net/20.500.14352/64091 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Retrial queues Factorial moments Heavy traffic Direct estimator Accuracy Probabilidades (Matemáticas) |
| Resumo: | This article deals with a new model for the M/G/1 retrial queue. We consider the process (M(t),N(t)) where M(t) is the total number of arrivals from the last departure until time t and N(t) is the number of customers in orbit at time t. We obtain the generating function together with a recurrent formula for factorial moments in the steady state. Limit behavior under heavy traffic is also studied. We use this process to get an estimator of the parameter of retrial and obtain its accuracy by solving some linear differential equations. We also give some numerical examples. |
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