• RANDOM QUEUE LENGTH CONTROL CHART FOR (M / Ek / 1): (∞ / FCFS) QUEUEING MODEL

Abstract

Queueing theory involves the mathematical study of queues. Excessively long queues may result in loss of customers. Control charts constructed for random queue length N provide control limits for N so as to make effective use of time in order to achieve customer’s satisfaction. Customer can have prior idea about expected waiting time, maximum waiting time and minimum waiting time respectively from central line, upper control limit and lower control limit of the chart so that, the performance of the system may be improved. Keeping this in view, in this paper the construction of control charts for random queue length is proposed for M /E_k /1 queueuing model.