Date of Award
Winter 2019
Document Type
Open Access Thesis
Degree Name
Master of Science (MS)
Department
Mathematics & Statistics
First Advisor
Muhammad El-Taha
Second Advisor
Abou El-Makarim Aboueissa
Third Advisor
Weston Viles
Abstract
The following examination of computational methods related to queues with general arrivals (i:i:d: but of unknown distribution), multiple identical servers with i:i:d: exponential service times, and ordinary first come, first served service (hereafter referred to as G/M/c to use existing naming conventions) seeks to investigate the current models and provide new results based on a draft convolution method proposed by El-Taha[3]. The new model will demonstrate the use of distributions with coefficients of variance ranging from zero to near infinity to provide flexibility in simulating a range of potential arrival distributions, and we include detailed results and software for both small-scale and large-scale models.
Recommended Citation
Michaud, Thomas MS, "An Examination of Computational Methods Related to G/M/c Queueing" (2019). All Student Scholarship. 376.
https://digitalcommons.usm.maine.edu/etd/376
