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A simple approximation method for workload analyses in some queueing systems with control policies

Title
A simple approximation method for workload analyses in some queueing systems with control policies
Author
김성호
Keywords
M/G/1; P-lambda(M) policy; finite capacity; workload; discretization
Issue Date
2006-09
Publisher
PERGAMON-ELSEVIER SCIENCE LTD
Citation
COMPUTERS & INDUSTRIAL ENGINEERING, v. 51, No. 1, Page. 183-195
Abstract
We consider two systems: M/G/1 with a finite workload capacity and an infinite dam model under P-lambda(M) policy. It is necessary to analyze the workload processes for these systems, which is mostly difficult and complex. An efficient and easy approximation procedure for these systems is provided. Our method is based on the idea that the service time of a customer can be approximated as the sum of small deterministic service times of a batch of customers. This enables us to work with system size processes instead of workload processes. The proposed method turns out to be in excellent agreement with simulation results and exact solution. (c) 2006 Elsevier Ltd. All rights reserved.
URI
https://www.sciencedirect.com/science/article/pii/S0360835206000751https://repository.hanyang.ac.kr/handle/20.500.11754/108684
ISSN
0360-8352; 1879-0550
DOI
10.1016/j.cie.2006.07.010
Appears in Collections:
COLLEGE OF ENGINEERING SCIENCES[E](공학대학) > TRANSPORTATION AND LOGISTICS ENGINEERING(교통·물류공학과) > Articles
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