most-queue 1.30

Software package for calculation and simulation of queuing systems

most_queue

Python package for calculation and simulation of queuing systems (QS) and networks

Authors

• xabarov

Installation

Install most-queue with pip

  pip install most-queue

DESCRIPTION

Most_queue consists of two main parts:

• .theory contains programs that implement methods for calculating queuing theory models.
• .sim contains simulation programs.

Package .theory

#	Package name	Description
1.	diff5dots	Numerical calculation of the derivative of a function
2.	fj_calc	Numerical calculation of the initial moments of the random variables maximum distribution
3.	m_ph_n_prty	Numerical calculation of QS M/Ph/n with 2 classes and PR - priority. Based on the approximation of busy periods
4.	mg1_calc	Numerical calculation of QS M/G/1
5.	gi_m_1_calc	Numerical calculation of QS GI/M/1
6.	gi_m_n_calc	Numerical calculation of QS GI/M/n
7.	m_d_n_calc	Numerical calculation of QS M/D/n
8.	ek_d_n_calc	Numerical calculation of QS Ek/D/n
9.	mg1_warm_calc	Numerical calculation of QS M/G/1 with "warm-up"
10.	mgn_tt	Numerical calculation of QS M/H2/n by the Takahashi-Takami method with complex parameters when approximating the serving time by the H2 distribution
11.	mmn3_pnz_cox_approx	Calculation of QS M/M/2 with 3 classes, PR - priority by the Takahashi-Takami numerical method based on the approximation of busy period by the Cox distribution
12.	mmn_prty_pnz_approx	Calculation of QS M/M/2 with 2 classes, PR - priority by the Takahashi-Takami numerical method based on the approximation of the busy period by the Cox distribution
13.	mmnr_calc	Calculation of QS M/M/n/r
14.	network_calc	Calculation of queuing network with priorities in nodes
15.	passage_time	Calculation of the initial transition times between arbitrary tiers of the Markov chain
16.	priority_calc	A set of functions for calculating QS with priorities (single-channel, multi-channel). The multichannel calculation is carried out by the method of relation invariants
17.	student_stat	Calculation of confidence probability, confidence intervals for random variable with unknown RMS based on Student's t-distribution.
18.	convolution_sum_calc	Calculate the initial moments of sums of random variables
19.	weibull	Selection of Weibull distribution parameters, calculation of CDF, PDF, Tail values
20.	flow_sum	Flow summation, numerical calculation
21.	impatience_calc	Calculation of M/M/1 with exponential impatience
22.	batch_mm1	Calculation of QS M/M/1 with batch arrival
23.	engset_model.py	Calculation of QS M/M/1 with finite sources
24.	generate_pareto_noise.py.py	Create noise by Pareto dist
25.	network_viewer.py	Utility to view network structure
26.	mmn_with_h2_cold_h2_warmup.py	Multichannel queuing system with exp serving time, H2 warm-up and H2 cold (vacations). The system uses complex parameters, which allows to calculate systems with arbitrary warm-up and cold variation coefficients
27.	mgn_with_h2_delay_cold_warm.py	Multichannel queuing system with H2 serving time, H2 warm-up, H2 cold delay and H2 cold (vacations). The system uses complex parameters, which allows you to calculate systems with arbitrary serving, warm-up, cold-delay and cold variation coefficients

Package .sim

#	Package name	Description
1.	fj_delta_sim	Simulation of QS fork-join with a delay in the start of processing between channels
2.	fj_sim	Simulation of QS with fork-join process
3.	priority_network	Simulation of queuing network with priorities in nodes
4.	rand_distribution	A set of functions and classes designed to generate a PRNG and select parameters for distributions H2, C2, Ek, Pa, Gamma
5.	qs_sim	Simulation of QS GI/G/m/n
6.	priority_queue_sim	Simulation of QS GI/G/m/n with priorities
7.	flow_sum_sim	Simulation of flow summation
8.	impatient_sim.py	Simulation of QS GI/G/m/n with impatience
9.	batch_sim.py	Simulation of QS GI/G/m/n with batch arrival
10.	queue_finite_source_sim.py	Simulation of QS GI/G/m/n with finite sources

Usage

Look here for examples