• STATISTICAL ANALYSIS OF NON-PREEMPTIVE PRIORITY IN FUZZY QUEUEING SYSTEM

S. BHUVANESWARI*, B. RAMESH KUMAR, S. MURUGESAN

Abstract


In General a management does not like an arriving customer to wait for service in a system. Most of the situations it becomes impossible to avoid the difficulty of waiting for service. Thus the management is forced to go for a priority queueing system which is helpful to rectify this difficulty. There are two types of priority schemes namely preemptive and Non preemptive. In the Non preemptive priority discipline, there is no interruption and the highest priority customer just goes to the head of the queue to wait for his turn. In this discipline customers with higher priority and lower priority have their own service times. Practically the queue parameters are not deterministic. So, in this paper we discussed the non-preemptive priority of fuzzy queueing system with equal and unequal service times separately and we derived the steady state balance equation. So, first we construct the range of uncertainty values through inverse membership function and then analyze the interval optimal values using a suitable statistical inference. A Numerical example is illustrated.


Keywords


Fuzzy sets, Membership function, multiple servers, Nonlinear programming.

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