Open AccessA Queueing Inventory System with Server Working Breakdown
Author(s) -
K. Prasanna Lakshmi,
K. Jeganathan*,
L. Niyaz Ahmed,
V. Kamal Nasir,
M. Abdul Reiyas
Publication year - 2019
Publication title -
international journal of innovative technology and exploring engineering
Language(s) - English
Resource type - Journals
ISSN - 2278-3075
DOI - 10.35940/ijitee.l2572.1081219
Subject(s) - bernoulli's principle , queueing theory , queueing system , computer science , process (computing) , layered queueing network , service (business) , reliability engineering , simulation , computer network , physics , engineering , operating system , thermodynamics , economy , economics
This paper considers a single server inventory queueing system with two types of server breakdowns, say Type 1(T1) breakdown and Type 2 (T2) breakdowns, and working breakdown. T1 breakdown occurs in regular service period whereas T2 breakdown occurs in the duration of working breakdown. The inter arrival time between any two customers and the times of occurrences of both types of breakdowns are all independent exponential distributions. The commencement of repairing process of T1 breakdown follows Bernoulli’s whereas the commencement of repairing process of T2 breakdown is instantaneous. By using matrix method, we obtain the steady state probability vector of the finite capacity queueing inventory system. Finally, the numerical examination of model sensitiveness is performed.