Proceedings of the Korean Society for Quality Management Conference (한국품질경영학회:학술대회논문집)
- 2004.04a
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- Pages.499-502
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- 2004
The MMAP/M/c System with Heterogeneous Servers and Retrial
- Kim Che Soong (Department of Industrial Engineering, Sangji University) ;
- Kim Ji Seung (School of E-Business, Kyungil University)
- Published : 2004.04.01
Abstract
Multi-server Markovian retrial model with heterogeneous servers is analyzed. Arriving customers constitute the MMAP(Marked Markovian Arrival Process). Distribution of the primary customers among the servers is performed randomly depending on the type of a customer and the number of the server. Customers from the orbit have the exponential service time distribution with a parameter depending on the server only. The choice of the server for a retrial is made randomly as well. Multidimensional continuous time Markov chain describing operation of the model is investigated by means of reducing to asymptotically quasi-toeplitz Markov chaius.
Keywords