Light traffic behavior under the power-of-two load balancing strategy: The case of heterogeneous servers

We consider a multi-server queueing system under the power-of-two policy with Poisson job arrivals, heterogeneous servers and a general job requirement distribution; each server operates under the first-come first-serve policy and there are no buffer constraints. We analyze the performance of this s...

Descripción completa

Detalles Bibliográficos
Autores: Izagirre Korta, Ane, Makowski, Armand M.
Tipo de recurso: artículo
Fecha de publicación:2017
País:España
Institución:Universidad del País Vasco
Repositorio:Addi. Archivo Digital para la Docencia y la Investigación
OAI Identifier:oai:addi.ehu.eus:10810/64999
Acceso en línea:http://hdl.handle.net/10810/64999
Access Level:acceso abierto
Palabra clave:parallel servers
power-of-two scheduling
light traffic
heterogeneous servers
Descripción
Sumario:We consider a multi-server queueing system under the power-of-two policy with Poisson job arrivals, heterogeneous servers and a general job requirement distribution; each server operates under the first-come first-serve policy and there are no buffer constraints. We analyze the performance of this system in light traffic by evaluating the first two light traffic derivatives of the average job response time. These expressions point to several interesting structural features associated with server heterogeneity in light traffic: For unequal capacities, the average job response time is seen to decrease for small values of the arrival rate, and the more diverse the server capacities, the greater the gain in performance. These theoretical findings are assessed through limited simulations.