M/D/1 Queues with LIFO and SIRO Policies

08/21/2022
by   Steven Finch, et al.
0

While symbolics for the equilibrium M/D/1-LIFO waiting time density are completely known, corresponding numerics for M/D/1-SIRO are derived from recursions due to Burke (1959). Implementing an inverse Laplace transform-based approach for the latter remains unworkable.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
11/25/2021

An inverse problem of determining fractional orders in a fractal solute transport model

A fractal mobile-immobile (MIM in short) solute transport model in porou...
research
04/30/2019

First digit law from Laplace transform

The occurrence of digits 1 through 9 as the leftmost nonzero digit of nu...
research
10/16/2022

D/M/1 Queue: Policies and Control

Equilibrium G/M/1-FIFO waiting times are exponentially distributed, as f...
research
12/15/2021

Optimized numerical inverse Laplace transformation

Among the numerical inverse Laplace transformation (NILT) methods, those...
research
06/21/2022

M/G/1-FIFO Queue with Uniform Service Times

An exact formula for the equilibrium M/U/1 waiting time density is now e...
research
09/03/2019

Asynchronous Time-Parallel Method based on Laplace Transform

Laplace transform method has proved to be very efficient and easy to par...
research
07/12/2023

A novel approach for regularized inversion of noisy Laplace transforms using real-axis data points

This paper presents a new approach to construct regularizing operators f...

Please sign up or login with your details

Forgot password? Click here to reset