论文信息 - The Pareto Distribution as a Queue Service Discipline

The Pareto Distribution as a Queue Service Discipline

A queuing system is described in which service times are conditioned upon a random parameter μ, such that the conditional service distribution is exponential and μ has a gamma density. It is shown that the resultant unconditional distribution of service times is Paretian. Several measures of effectiveness are discussed and the question of statistical estimation of service parameters is also explored.

Carl M. Harris | C. Harris

[1] William Feller,et al. An Introduction to Probability Theory and Its Applications , 1967 .

[2] J. Wolfowitz,et al. Introduction to the Theory of Statistics. , 1951 .

[3] F. Eugene. FAMA, . The Behavior of Stock-Market Prices, Journal of Business, , . , 1965 .

[4] Howard Raiffa,et al. Applied Statistical Decision Theory. , 1961 .

[5] Carl M. Harris,et al. Queues with stochastic service rates , 1967 .

[6] B. Mandelbrot. THE PARETO-LEVY LAW AND THE DISTRIBUTION OF INCOME* , 1960 .

[7] B. Gnedenko,et al. Limit Distributions for Sums of Independent Random Variables , 1955 .

[8] H. Raiffa,et al. Applied Statistical Decision Theory. , 1961 .