Generated by: lqns, version 6.0 Copyright the Real-Time and Distributed Systems Group, Department of Systems and Computer Engineering Carleton University, Ottawa, Ontario, Canada. K1S 5B6 Invoked as: lqns ecomm2011.xlqn Input: ecomm2011.xlqn Comment: ... Variables: $browse_rate = 0.954141, $dem_order = 16.9695, $nusers = 63, $order_rate = 0.0458586, $req_browse_read = 16.204, $userThink = 1650.07 Convergence test value: 0.00289447 Number of iterations: 8 Solver: Elapsed: 0:00:00.000 Submodels: 6 MVA Core(): 48 MVA Step(): 587 MVA Wait(): 79620 Processor identifiers and scheduling algorithms: Processor Name Type Copies Scheduling PUsers Inf 1 DELAY PImgDisk Uni 1 FCFS PWebServer Uni 1 PS PStore Mult(3) 1 PS PDBs Uni 1 PS PFileServer Uni 1 PS Task information: Task Name Type Copies Processor Name Pri Entry List TUsers Ref(63) 1 PUsers 0 EUserBeh TWebServer Mult(150) 1 PWebServer 0 EAccess TImgDisk Uni 1 PImgDisk 0 ERdImg TStoreApp Mult(90) 1 PStore 0 EBrowse, EOrder TCart Mult(10) 1 PStore 0 EBuy TInvDB Mult(7) 1 PDBs 0 EInvRd, EInvUpd TCustDB Uni 1 PDBs 0 ECustRd, ECustUpd TFS Mult(10) 1 PFileServer 0 EFRd, EFWrite Entry execution demands: Task Name Entry Name Phase 1 Phase 2 TUsers EUserBeh 1650.07 TWebServer EAccess 2 TImgDisk ERdImg 1 TStoreApp EBrowse 15 EOrder 16.9695 TCart EBuy 30 TInvDB EInvRd 2 EInvUpd 1 10 TCustDB ECustRd 3 ECustUpd 1 5 TFS EFRd 3 EFWrite 1 3 Mean number of rendezvous from entry to entry: Task Name Source Entry Target Entry Phase 1 Phase 2 TUsers EUserBeh EAccess 1 TWebServer EAccess ERdImg 15 EAccess EBrowse 0.954141 EAccess EOrder 0.0458586 TStoreApp EBrowse EInvRd 16.204 EOrder EBuy 1 TCart EBuy EInvRd 3 EBuy EInvUpd 1 TInvDB EInvRd EFRd 1.8 EInvUpd EFRd 1 0 EInvUpd EFWrite 0 2.5 TCustDB ECustRd EFRd 4 ECustUpd EFRd 1 0 ECustUpd EFWrite 0 2 Mean number of non-blocking sends from entry to entry: Task Name Source Entry Target Entry Phase 1 Phase 2 TCart EBuy ECustUpd 1 Phase type flags: All phases are stochastic. Squared coefficient of variation of execution segments: All executable segments are exponential. Open arrival rates per entry: All open arrival rates are 0. Type 1 throughput bounds: Task Name Entry Name Throughput TUsers EUserBeh 0.0227976 TWebServer EAccess 0.105625 TImgDisk ERdImg 0.29865 TStoreApp EBrowse 0.0426329 EOrder 0.110113 TCart EBuy 0.00309002 TInvDB EInvRd 0.166413 EInvUpd 0.120204 TCustDB ECustRd 0.00278621 ECustUpd 0.00309 TFS EFRd 0.330789 EFWrite 0.276412 Mean delay for a rendezvous: Task Name Source Entry Target Entry Phase 1 Phase 2 TUsers EUserBeh EAccess 0 TWebServer EAccess ERdImg 0.275834 EAccess EBrowse 0 EAccess EOrder 0 TStoreApp EBrowse EInvRd 126.842 EOrder EBuy 0 TCart EBuy EInvRd 167.606 EBuy EInvUpd 167.606 TInvDB EInvRd EFRd 0.896772 EInvUpd EFRd 0.896772 0 EInvUpd EFWrite 0 0.486717 TCustDB ECustRd EFRd 0.468519 ECustUpd EFRd 0.468519 0 ECustUpd EFWrite 0 2.02469 Mean delay for a send-no-reply request: Task Name Source Entry Target Entry Phase 1 Phase 2 TCart EBuy ECustUpd 46.741 Service times: Task Name Entry Name Phase 1 Phase 2 TUsers EUserBeh 4282.23 TWebServer EAccess 2632.53 TImgDisk ERdImg 1 TStoreApp EBrowse 2695.76 EOrder 854.168 TCart EBuy 837.541 TInvDB EInvRd 38.6108 EInvUpd 21.2908 31.3833 TCustDB ECustRd 80.7026 ECustUpd 20.969 24.4041 TFS EFRd 18.9571 EFWrite 6.31905 18.9571 Service time variance (per phase) and squared coefficient of variation (over all phases): Task Name Entry Name Phase 1 Phase 2 coeff of var **2 TUsers EUserBeh 4.6592e+007 2.54081 TWebServer EAccess 2.13339e+007 3.07839 TImgDisk ERdImg 1 1 TStoreApp EBrowse 8.01469e+006 1.10287 EOrder 2.16912e+006 2.97302 TCart EBuy 738081 1.05219 TInvDB EInvRd 2675.05 1.79438 EInvUpd 1111.47 1149.56 0.814918 TCustDB ECustRd 9077.73 1.39381 ECustUpd 1080.36 792.521 0.909735 TFS EFRd 263.63 0.733584 EFWrite 29.2923 263.63 0.45849 Throughputs and utilizations per phase: Task Name Entry Name Throughput Phase 1 Phase 2 Total TUsers EUserBeh 0.0147121 63.0008 63.0008 TWebServer EAccess 0.0147121 38.7302 38.7302 TImgDisk ERdImg 0.220658 0.220658 0.220658 TStoreApp EBrowse 0.0140359 37.8375 37.8375 EOrder 0.000674604 0.576225 0.576225 Total: 0.0147105 38.4137 38.4137 TCart EBuy 0.000674603 0.565007 0.565007 TInvDB EInvRd 0.229467 8.8599 8.8599 EInvUpd 0.000674608 0.0143629 0.0211714 0.0355343 Total: 0.230141 8.87426 0.0211714 8.89543 TCustDB ECustRd 0 0 0 ECustUpd 0.000674603 0.0141457 0.016463 0.0306088 Total: 0.000674603 0.0141457 0.016463 0.0306088 TFS EFRd 0.330737 6.26983 6.26983 EFWrite 0.00269499 0.0170297 0.0510892 0.068119 Total: 0.333432 6.28686 0.0510892 6.33795 Utilization and waiting per phase for processor: PUsers Task Name Pri n Entry Name Utilization Phase 1 Phase 2 TUsers 0 63 EUserBeh 24.276 0 Utilization and waiting per phase for processor: PImgDisk Task Name Pri n Entry Name Utilization Phase 1 Phase 2 TImgDisk 0 1 ERdImg 0.220658 0 Utilization and waiting per phase for processor: PWebServer Task Name Pri n Entry Name Utilization Phase 1 Phase 2 TWebServer 0 150 EAccess 0.0294243 0.0596066 Utilization and waiting per phase for processor: PStore Task Name Pri n Entry Name Utilization Phase 1 Phase 2 TStoreApp 0 90 EBrowse 0.210539 0 EOrder 0.0114477 0 Task Total: 0.221987 TCart 0 10 EBuy 0.0202381 0 Processor Total: 0.242225 Utilization and waiting per phase for processor: PDBs Task Name Pri n Entry Name Utilization Phase 1 Phase 2 TInvDB 0 7 EInvRd 0.458934 0.873769 EInvUpd 0.00742069 0.436885 4.36885 Task Total: 0.466354 TCustDB 0 1 ECustRd 0 0 ECustUpd 0.00404762 0.543317 2.71658 Task Total: 0.00404762 Processor Total: 0.470402 Utilization and waiting per phase for processor: PFileServer Task Name Pri n Entry Name Utilization Phase 1 Phase 2 TFS 0 10 EFRd 0.992212 15.9571 EFWrite 0.0107799 5.31905 15.9571 Task Total: 1.00299