Bat Algorithm for Optimal Service Parameters in an Impatient Customer N-Policy Vacation Queue

الموضوعات : فصلنامه ریاضی

Vijaya Laxmi Pikkala ¹ (Department of Applied Mathematics, Andhra University, Visakhapatnam 530 003, India.)

تاريخ الإرسال : 28 الثلاثاء , جمادى الثانية, 1440 تاريخ التأكيد : 23 الأربعاء , شوال, 1440 تاريخ الإصدار : 27 السبت , رمضان, 1440

الکلمات المفتاحية: Queue, Working vacations, balking, Bat algorithm, ‎‎R‎eneging,

ملخص المقالة :

In this paper, a meta-heuristic method, the Bat Algorithm, based on the echolocation behavior of bats is used to determine the optimum service rate of a queue problem. A finite buffer M/M/1 queue withN policy, multiple working vacations and Bernoulli schedule vacation interruption is considered. Under the two customers' impatient situations, balking and reneging, the queue is studied using the matrix geometric method. Simulations show that the proposed algorithm seems much superior to other algorithms.