Demonstration of the Multi-Server Queuing Model Using Big-M Method

Sharviya Sona S.

Abstract: This paper utilizes Linear Programming Problem (LPP) to determine optimal server count and expected number of customers in a multi-server queuing system, addressing uncertainties in arrival rate and service rate, server count. By employing the Big M method, the multi-server queuing model is formulated into LPP Model. Further, performance measures are also analysed.

Keywords: Linear Programming Problem (LPP), Big M-method, Multi-Server queuing system, Performance measures