Quasi-birth and death processes of two-server queues with stalling

R. Sivasamy (), N. Thillaigovindan (), G. Paulraj () and N. Paranjothi ()
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R. Sivasamy: University of Botswana
N. Thillaigovindan: Arba Minch University
G. Paulraj: Annamalai University
N. Paranjothi: Annamalai University

OPSEARCH, 2019, vol. 56, issue 3, No 6, 739-756

Abstract: Abstract This paper investigates an optimal K-policy for a two-server Markovian queueing system $$M/(M_1,M_2)/2/(B_1,B_2),$$ M / ( M 1 , M 2 ) / 2 / ( B 1 , B 2 ) , with one fast server $$S_1$$ S 1 and one slow server $$S_2$$ S 2 , using the matrix analytic method. Two buffers $$B_1$$ B 1 and $$B_2$$ B 2 are organized to form waiting lines of customers in which, buffer $$B_1$$ B 1 is of finite size $$K(

Keywords: QBD processes and $$M/(M_1{; }M_2)/2/(B_1{; }B_2)$$ M / ( M 1; M 2 ) / 2 / ( B 1; B 2 ); Fast server; Slow server; Matrix analytic method; Stationary distribution; 60K25; 68M20; 90B22 (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1007/s12597-019-00376-1

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