TY  - JOUR
T1  - Analysis of Fuzzy Priority Queue with Two Classes of Customers and Unequal Service Rates using Mixed Integer Non Linear Programming Approach
AU - Kalpana, B. AU - Anusheela, N. 
JO  - Journal of Engineering and Applied Sciences
VL  - 14
IS  - 15
SP  - 5030
EP  - 5038
PY  - 2019
DA  - 2001/08/19
SN  - 1816-949x
DO  - jeasci.2019.5030.5038
UR  - https://makhillpublications.co/view-article.php?doi=jeasci.2019.5030.5038
KW  - non preemptive priority queue
KW  -membership function
KW  -performance measures
KW  -Mixed integer non linear programming
KW  -steady state
KW  -priority queue
AB  - In this study membership function of the steady state system performance measures of priority
queues with two classes of customers is constructed using mixed integer non linear programming approach.
Here, type 1 are considered to have priority over the type 2 customers. In this system with non preemptive
priority, a low priority customer in service is not interrupted upon arrival of a higher priority customer at a
queuing system and they are served with different service rates. Here, the arrival rate and service rate are
considered to be fuzzy. The basic idea of this study is to use Zadeh’s extension principle, α-cut approach and
mixed integer non linear programming problem to construct the lower and the upper bound of the system
performance measures. Using α-cut approach the fuzzy queues are transformed into crisp queues. For different
values of α the membership function is constructed. The defuzzification of the performance measures is
provided by Yager’s ranking index. A numerical example is solved to demonstrate the validity of given model.
ER  -