Page 189 - Contributed Paper Session (CPS) - Volume 3
P. 189

CPS1988 Saggou Hafida H. et al.
            4.  The  probability  that  the  server  is  under  repair  given  that  the  transit
                customer is in service position is obtained by



            5.  The  probability  that  the  server  is  under  repair given  that  the  recurrent
                customer is in service position is obtained by




            6.  The probability that the server is under second verification delay is given
                by



            7.  The probability that the server is on vacation is given by



            8.  The probability of customer’s loss is given by
                                = (1  −  )[  +   +   +  2  +   ]
                                                           
                                                                       
                                                    1
                                              
                               

                These probabilities are independent of K The steady-state availability and
            failure  frequency  of  the  server  are  respectively noted  by ( ) and ( ) and
                                                                        
                                                                                 
            given by





            Let   and    be respectively the length of a busy period and the length of a
                 
                        
            busy  cycle,  their  expectations  under  the  steady  state  conditions  are  given
            respectively by





            and






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