ON EXACT COMPUTATIONAL ANALYSIS OF DISTRIBUTIONS OF NUMBERS IN SYSTEMS FOR M/G/1/N + 1 AND GI/M/1/N + 1 QUEUES USING ROOTS

被引:8
作者
CHAUDHRY, ML
GUPTA, UC
AGARWAL, M
机构
[1] INDIAN INST TECHNOL,DEPT MATH,KHARAGPUR 721302,W BENGAL,INDIA
[2] UNIV DELHI,FAC MATH SCI,DEPT OPERAT RES,DELHI 110007,INDIA
基金
加拿大自然科学与工程研究理事会;
关键词
D O I
10.1016/0305-0548(91)90006-D
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
In this paper, we obtain the distribution of number in system and other measures of efficiency for the M/G/1/N + 1 queuing system in terms of the roots of the associated characteristic equation (CE). Results for the GI/M/1/N + 1 queuing system have also been obtained from those of M/G/1/N + 1. Numerical results in the form of tables and graphs have been presented for a variety of service-(interarrival-) time distributions, e.g. Erlang (E(k)), generalized Erlang (GE(k)) and hyperexponential (HE(k)).
引用
收藏
页码:679 / 694
页数:16
相关论文
共 21 条
[11]  
FINCH PD, 1958, J ROY STAT SOC B, V20, P182
[12]  
FRANKEN P, 1982, QUEUES POINT PROCESS
[13]  
GROSS D, 1985, FUNDAMENTALS QUEUING
[14]  
KEILSON J, 1966, J ROY STAT SOC B, V28, P190
[15]  
Lavenberg S.S., 1983, COMPUTER PERFORMANCE
[16]  
Neuts M. F., 1994, MATRIX GEOMETRIC SOL
[17]  
NIU SC, 1990, TIMS ORSA JOINT NATI
[18]   THE GI-EK-1 QUEUE WITH FINITE WAITING ROOM [J].
OHSONE, T .
JOURNAL OF THE OPERATIONS RESEARCH SOCIETY OF JAPAN, 1981, 24 (04) :375-391
[19]  
Powell W. B., 1981, THESIS MIT CAMBRIDGE
[20]  
SEELEN LP, 1985, TABLES MULTI SERVER