TITLE: 
                        
                            On an M/G/1 Queueing Model with k-Phase Optional Services and Bernoulli Feedback
                                
                                
                                    AUTHORS: 
                                            Sayeedeh Abdollahi, Mohammad Reza Salehi Rad 
                                                    
                                                        KEYWORDS: 
                        M/G/1 Queue; Bernoulli Feedback; Queue Size; Waiting Time and Busy Period 
                                                    
                                                    
                                                        JOURNAL NAME: 
                        Journal of Service Science and Management,  
                        Vol.5 No.3, 
                        September
                                                        19,
                        2012
                                                    
                                                    
                                                        ABSTRACT: In this article an M/G/1 queueing model with single server, Poisson input, k-phases of heterogeneous services and Bernoulli feedback design has been considered. For this model, we derive the steady-state probability generating function (PGF) of queue size at the random epoch and at the service completion epoch. Then, we derive the Laplace-Stieltjes Transform (LST) of the distribution of response time, the means of response time, number of customers in the system and busy period.