the problem that i have two single server station with no queuing space a customer goes to station 1 if it is available else it goes to station 2 if it is available or it will be lost output from station 1 goes to station 2 if it is empty or blocking occurs and will stay in station 1 til station 2 become available. if customer visits station 2 first he will be served for two consecutive service times and then leave the system .
so to model this i consider that the first station will have 3 states 0(empty),1(customer get service),b(customer finish the service and blocked in station 1)
and 4 states for station 2 : 0(empty),1(customer from station 1 get service at station 2),a(customer initially go to station 2 and get his first service time ) , B(customer initially go to station 2 and get his second service time)
so is this model correct or it can be simplified more better .