Open AccessA Precise Study on Solving the Multi Server Queuing Model through Lpp By Using Python Program
Author(s) -
S. Vijay Prasad,
Ranadheer Donthi,
Mahesh Kumar Challa
Publication year - 2020
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/993/1/012109
Subject(s) - server , queueing theory , computer science , python (programming language) , linear programming , queue management system , operating system , real time computing , computer network , algorithm
Queuing systems focuses on waiting lines, the typical examples are, at ticket booking counters, super bazaars and at bank services, at public transport places etc. many people are waiting to receive the services. To reduce these waiting lines, a largernumber of servers are required. Increasing the number of servers means it is expenditure to the service provider, so the waiting linesand the number of servers must be optimized. In order to getting theoptimal solution, the perception of Linear Programming problem plays a significant role. In this article, the alternative techniques are used to solve the multi-server queuing model, for that the total expected cost of the multi-server queuing model problem translated in to linear programing problem subjected to the constraints and solved the linear programing problem with Python program and obtained the required number of servers and estimated number of customers in the system. And also evaluated the mean arrival rate and the mean service rate of the multi-serverqueuing system.