Exponential tail of completion times distribution in M/G/N queues

Authors

Jaymar Soriano ⋅ PH National Institute of Physics, University of the Philippines Diliman
Johnrob Bantang ⋅ PH National Institute of Physics, University of the Philippines Diliman
Caesar Saloma ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

The dynamics of agent-based queuing in an M/G/N system is analyzed using the distribution of the completion times T_C of agents. Exponential tail of the T_C distribution is prominently observed for different system utilization U. The characteristic slope C of the exponential tail is unique for every U. C is observed to logarithmically increase with U. This observation is consistent for any M/G/N system which suggests that the exponential dynamics of queuing for a given U of the system is practically the same.

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Issue

2005: Proceedings of the 23rd Samahang Pisika ng Pilipinas Physics Congress

Article ID

SPP-2005-PA-44

Section

Poster Session PA

Published

2005-10-26

How to Cite

[1]

J Soriano, J Bantang, and C Saloma, Exponential tail of completion times distribution in M/G/N queues, Proceedings of the Samahang Pisika ng Pilipinas 23, SPP-2005-PA-44 (2005). URL: https://proceedings.spp-online.org/article/view/SPP-2005-PA-44.