most-queue 1.16

Software package for calculation and simulation of queuing systems

most_queue

Software package for calculation and simulation of queuing systems and networks

Authors

• xabarov

Installation

Install most-queue with pip

  pip install most-queue

DESCRIPTION OF THE SOFTWARE PACKAGE

Most_queue consists of two packages:

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

Package .theory

#	Pakage 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 Queue M/Ph/n with 2 classes and PR - priority. Based on the approximation of busy periods
4.	mg1_calc	Numerical calculation of Queue M/G/1
5.	gi_m_1_calc	Numerical calculation of Queue GI/M/1
6.	gi_m_n_calc	Numerical calculation of Queue GI/M/n
7.	m_d_n_calc	Numerical calculation of Queue M/D/n
8.	ek_d_n_calc	Numerical calculation of Queue Ek/D/n
9.	mg1_warm_calc	Numerical calculation of Queue M/G/1 with "warm-up"
10.	mgn_tt	Numerical calculation of Queue M/H2/n by the Takahashi-Takami method with complex parameters when approximating the service time by the H2 distribution
11.	mmn3_pnz_cox_approx	Calculation of Queue 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 Queue 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 Queue 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.	prty_calc	A set of functions for calculating Queue 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.	sv_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 Queue M/M/1 with batch arrival
23.	engset_model.py	Calculation of Queue 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.	m_h2_h2warm.py	Multichannel queuing system with H2 service time and H2 warm-up. The system uses complex parameters, which allows you to calculate systems with arbitrary service time variation coefficients

Package .sim

#	Pakage name	Description
1.	fj_delta_im	Simulation of Queue fork-join with a delay in the start of processing between channels
2.	fj_im	Simulation of Queue with fork-join process
3.	network_im_prty	Simulation of queuing network with priorities in nodes
4.	rand_destribution	A set of functions and classes designed to generate a PRNG and select parameters for distributions H2, C2, Ek, Pa, Gamma
5.	smo_im	Simulation of Queue GI/G/m/n
6.	smo_prty_im	Simulation of Queue GI/G/m/n with priorities
7.	flow_sum_im	Simulation of flow summation
8.	smo_impatient_im.py	Simulation of Queue GI/G/m/n with impatience
9.	smo_batch_sim.py	Simulation of Queue GI/G/m/n with batch arrival
10.	queue_finite_source_sim.py	Simulation of Queue GI/G/m/n with finite sources

Usage

Examples of this library usage are in the most_queue/tests

Requirements

• matplotlib
• matplotlib-inline
• numba
• numpy
• pandas
• scipy
• tqdm
• tqdm-stubs
• PyQt5
• qt-material
• PySide2
• networkx