Simulation 1 -------------- Input Data ( M/M/1 Simulation ) ----------------------------------- Arrival Rate ( lambda ) : 0.6 Service Rate ( u ) : 0.8 Maximum Queue Length : Infinite Simulation started Simulation Finished Results -------------------- Theoretical Arrival Rate : 0.6 Actual :0.5994439149850085 Theoretical Service Rate : 0.8 Actual :0.8030626106128871 Average time spent by a customer (delay) Theoretical : 4.911140388736899 Simulation Result : 4.887280965012307 Average queue length Theoretical : 2.1975059247012374 Simulation result : 2.1831482309296253 Average Waiting time Theoretical : 3.6659074681843995 Simulation result : 3.6420480444597914 Other statistics -------------------- The average length of a non-empty queue is 3.9216525168794707 The maximum length of a queue is 26 The maximum waiting time of a customer is 36.946966141912505 The total idle time of the server is 42302.870623163675 No. of Packets dropped are : 0 ----------------------------------------------------------------------------------------- Simulation 2 -------------- Input Data ( M/M/1 Simulation ) ----------------------------------- Arrival Rate ( lambda ) : 0.6 Service Rate ( u ) : 0.8 Maximum Queue Length : 16 Simulation started Simulation Finished Results -------------------- Theoretical Arrival Rate : 0.6 Actual :0.6003677321565314 Theoretical Service Rate : 0.8 Actual :0.8007675333216924 Average time spent by a customer (delay) Theoretical : 4.990024911131736 Simulation Result : 4.562378673968849 Average queue length Theoretical : 2.2461095874833896 Simulation result : 2.040663089365797 Average Waiting time Theoretical : 3.741223032449337 Simulation result : 3.3142359494513487 Other statistics -------------------- The average length of a non-empty queue is 3.7548479995693658 The maximum length of a queue is 16 The maximum waiting time of a customer is 35.24306322669545 The total idle time of the server is 42974.98442935326 No. of Packets dropped are : 976 ------------------------------------------------------------------------------------------- Simulation 3 -------------- Input Data ( M/M/1 Simulation ) ----------------------------------- Arrival Rate ( lambda ) : 0.6 Service Rate ( u ) : 0.8 Maximum Queue Length : 8 Simulation started Simulation Finished Results -------------------- Theoretical Arrival Rate : 0.6 Actual :0.5995844792707892 Theoretical Service Rate : 0.8 Actual :0.798225873506203 Average time spent by a customer (delay) Theoretical : 5.034197448367083 Simulation Result : 3.642232690467567 Average queue length Theoretical : 2.267280270659165 Simulation result : 1.5596120417722354 Average Waiting time Theoretical : 3.7814192145477437 Simulation result : 2.388955049621897 Other statistics -------------------- The average length of a non-empty queue is 3.1491877586643766 The maximum length of a queue is 8 The maximum waiting time of a customer is 23.948895736428753 The total idle time of the server is 48614.22763189455 No. of Packets dropped are : 5710 ------------------------------------------------------------------------------------------ Simulation 4 -------------- Input Data ( M/M/1 Simulation ) ----------------------------------- Arrival Rate ( lambda ) : 0.6 Service Rate ( u ) : 0.8 Maximum Queue Length : 4 Simulation started Simulation Finished Results -------------------- Theoretical Arrival Rate : 0.6 Actual :0.5976044414168442 Theoretical Service Rate : 0.8 Actual :0.8023246358379635 Average time spent by a customer (delay) Theoretical : 4.884715955002229 Simulation Result : 2.5919469314295616 Average queue length Theoretical : 2.1742867536705517 Simulation result : 0.9935738590543607 Average Waiting time Theoretical : 3.6383376745252995 Simulation result : 1.3464610137569812 Other statistics -------------------- The average length of a non-empty queue is 2.2864567125163378 The maximum length of a queue is 4 The maximum waiting time of a customer is 23.106454120507955 The total idle time of the server is 59362.82539436691 No. of Packets dropped are : 13309 ---------------------------------------------------------------------------------------------- Simulation 5 -------------- Input Data ( M/M/1 Simulation ) ----------------------------------- Arrival Rate ( lambda ) : 0.6 Service Rate ( u ) : 0.8 Maximum Queue Length : 2 Simulation started Simulation Finished Results -------------------- Theoretical Arrival Rate : 0.6 Actual :0.6004555686076379 Theoretical Service Rate : 0.8 Actual :0.8027539157187111 Average time spent by a customer (delay) Theoretical : 4.94319412036987 Simulation Result : 1.963885542703169 Average queue length Theoretical : 2.2201738680238794 Simulation result : 0.6780045495432696 Average Waiting time Theoretical : 3.697482351895102 Simulation result : 0.7191062117823351 Other statistics -------------------- The average length of a non-empty queue is 1.5789740275618744 The maximum length of a queue is 2 The maximum waiting time of a customer is 15.443375602940671 The total idle time of the server is 70609.5211657291 No. of Packets dropped are : 22932 ---------------------------------------------------------------------------------------