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 = 0.84923, $dem_order = 46.1508, $nusers = 211, $order_rate = 0.15077, $req_browse_read = 20.4055, $userThink = 1114.4 Convergence test value: 0.000968643 Number of iterations: 10 Solver: Elapsed: 0:00:00.000 Submodels: 6 MVA Core(): 60 MVA Step(): 714 MVA Wait(): 64445 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(211) 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 1114.4 TWebServer EAccess 2 TImgDisk ERdImg 1 TStoreApp EBrowse 15 EOrder 46.1508 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 0.84923 EAccess EOrder 0.15077 TStoreApp EBrowse EInvRd 20.4055 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 0.0457528 TWebServer EAccess 0.040092 TImgDisk ERdImg 0.586101 TStoreApp EBrowse 0.0137841 EOrder 0.0137576 TCart EBuy 0.00664493 TInvDB EInvRd 0.149995 EInvUpd 0.106675 TCustDB ECustRd 0.0053712 ECustUpd 0.00664286 TFS EFRd 0.326294 EFWrite 0.27589 Mean delay for a rendezvous: Task Name Source Entry Target Entry Phase 1 Phase 2 TUsers EUserBeh EAccess 3984.67 TWebServer EAccess ERdImg 0.225999 EAccess EBrowse 4768.03 EAccess EOrder 4768.14 TStoreApp EBrowse EInvRd 359.129 EOrder EBuy 0.740439 TCart EBuy EInvRd 467.264 EBuy EInvUpd 467.264 TInvDB EInvRd EFRd 2.33261 EInvUpd EFRd 2.33261 0 EInvUpd EFWrite 0 1.27658 TCustDB ECustRd EFRd 1.19058 ECustUpd EFRd 1.19058 0 ECustUpd EFWrite 0 2.47663 Mean delay for a send-no-reply request: Task Name Source Entry Target Entry Phase 1 Phase 2 TCart EBuy ECustUpd 50.3202 Service times: Task Name Entry Name Phase 1 Phase 2 TUsers EUserBeh 17135.6 TWebServer EAccess 12036.6 TImgDisk ERdImg 1 TStoreApp EBrowse 8164.14 EOrder 2088.08 TCart EBuy 2042 TInvDB EInvRd 40.2451 EInvUpd 22.1967 33.0795 TCustDB ECustRd 81.4001 ECustUpd 21.164 25.0459 TFS EFRd 18.4094 EFWrite 6.13648 18.4094 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 9.23351e+008 3.14461 TWebServer EAccess 3.57158e+008 2.46522 TImgDisk ERdImg 1 1 TStoreApp EBrowse 7.25979e+007 1.08919 EOrder 1.30714e+007 2.99797 TCart EBuy 4.53853e+006 1.08844 TInvDB EInvRd 2846.19 1.75727 EInvUpd 1174.36 1278.19 0.802679 TCustDB ECustRd 9154.09 1.38155 ECustUpd 1079.38 833.304 0.895722 TFS EFRd 246.451 0.727192 EFWrite 27.3834 246.451 0.454495 Throughputs and utilizations per phase: Task Name Entry Name Throughput Phase 1 Phase 2 Total TUsers EUserBeh 0.0123135 211 211 TWebServer EAccess 0.0123135 148.212 148.212 TImgDisk ERdImg 0.184705 0.184705 0.184705 TStoreApp EBrowse 0.0104571 85.3735 85.3735 EOrder 0.00185653 3.8766 3.8766 Total: 0.0123137 89.2501 89.2501 TCart EBuy 0.00185654 3.79104 3.79104 TInvDB EInvRd 0.21895 8.81164 8.81164 EInvUpd 0.00185652 0.0412088 0.0614128 0.102622 Total: 0.220806 8.85285 0.0614128 8.91426 TCustDB ECustRd 0 0 0 ECustUpd 0.00185654 0.0392916 0.0464986 0.0857903 Total: 0.00185654 0.0392916 0.0464986 0.0857903 TFS EFRd 0.323554 5.95644 5.95644 EFWrite 0.00748571 0.0459359 0.137808 0.183744 Total: 0.331039 6.00238 0.137808 6.14018 Utilization and waiting per phase for processor: PUsers Task Name Pri n Entry Name Utilization Phase 1 Phase 2 TUsers 0 211 EUserBeh 13.7222 0 Utilization and waiting per phase for processor: PImgDisk Task Name Pri n Entry Name Utilization Phase 1 Phase 2 TImgDisk 0 1 ERdImg 0.184705 0 Utilization and waiting per phase for processor: PWebServer Task Name Pri n Entry Name Utilization Phase 1 Phase 2 TWebServer 0 150 EAccess 0.0246271 0.0504293 Utilization and waiting per phase for processor: PStore Task Name Pri n Entry Name Utilization Phase 1 Phase 2 TStoreApp 0 90 EBrowse 0.156857 0 EOrder 0.0856806 0 Task Total: 0.242538 TCart 0 10 EBuy 0.0556961 0.0101151 Processor Total: 0.298234 Utilization and waiting per phase for processor: PDBs Task Name Pri n Entry Name Utilization Phase 1 Phase 2 TInvDB 0 7 EInvRd 0.437899 0.90936 EInvUpd 0.0204218 0.45468 4.5468 Task Total: 0.458321 TCustDB 0 1 ECustRd 0 0 ECustUpd 0.0111392 0.563942 2.81971 Task Total: 0.0111392 Processor Total: 0.46946 Utilization and waiting per phase for processor: PFileServer Task Name Pri n Entry Name Utilization Phase 1 Phase 2 TFS 0 10 EFRd 0.970661 15.4094 EFWrite 0.0299428 5.13648 15.4094 Task Total: 1.0006