Modeling and Analytical Study of a Complex Bi-Serial Queue Network Connected to a Common Server with Feedback and Batch Arrival Saini Vandana1,4,*, Gupta Deepak2,**, Tripathi A. K.3,*** 1Research Scholar (Mathematics), MM Engineering College, MM (Deemed to be University), Mullana (Ambala) 4Assistant Professor, Govt College, Naraingarh (Ambala) 2Professor & Head, Deptt. of Mathematics, MM Engineering College, MM (Deemed to be University), Mullana (Ambala), Haryana 3Professor, Deptt. of Mathematics, MM Engineering College, MM (Deemed to be University), Mullana (Ambala), Haryana *Email-sainivandana002@gmail.com
**Email-guptadeepak2003@yahoo.com
***Email-tripathi.adesh@gmail.com
Online Published on 08 June, 2023. Abstract A queue network model comprised of two bi-serial systems has been studied in the present work. Both the systems are heterogeneous in nature and are centrally connected to a common server. Arrival of customers follow Poisson process and are in fixed size batches. Method of generating function technique, law of calculus and classical formula are used to determine all queue characteristics. Particular cases are taken to check the validity of the model. The model is demonstrated with numerical illustration and graphical analysis where comparative graphical analysis is done in three cases, first case is when feedback is allowed and batch arrival of customers at all servers is considered, second case is when there is no facility of feedback, customers arrive in batches and the last case is only one time visit of customer is allowed also the arrival is single arrival. Top Keywords Queuing, Heterogeneous servers, Bi-serial servers, Feedback, Batch arrival, Comparative analysis. Top |