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 = 0.788365, $dem_order = 14.8252, $nusers = 85, $order_rate = 0.211635, $req_browse_read = 12.8961, $userThink = 2970.73 Convergence test value: 0.00955756 Number of iterations: 7 Solver: Elapsed: 0:00:00.000 Submodels: 6 MVA Core(): 42 MVA Step(): 649 MVA Wait(): 154593 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(85) 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 2970.73 TWebServer EAccess 2 TImgDisk ERdImg 1 TStoreApp EBrowse 15 EOrder 14.8252 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 0.788365 EAccess EOrder 0.211635 TStoreApp EBrowse EInvRd 12.8961 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 0.0043217 TWebServer EAccess 0.0128066 TImgDisk ERdImg 0.188727 TStoreApp EBrowse 0.0169449 EOrder 0.041959 TCart EBuy 0.00222547 TInvDB EInvRd 0.171794 EInvUpd 0.124827 TCustDB ECustRd 0.00206393 ECustUpd 0.00222547 TFS EFRd 0.33211 EFWrite 0.27628 Mean delay for a rendezvous: Task Name Source Entry Target Entry Phase 1 Phase 2 TUsers EUserBeh EAccess 0 TWebServer EAccess ERdImg 0.346536 EAccess EBrowse 0 EAccess EOrder 0 TStoreApp EBrowse EInvRd 124.385 EOrder EBuy 0 TCart EBuy EInvRd 154.615 EBuy EInvUpd 154.613 TInvDB EInvRd EFRd 4.44561 EInvUpd EFRd 4.44561 0 EInvUpd EFWrite 0 2.46824 TCustDB ECustRd EFRd 2.3247 ECustUpd EFRd 2.3247 0 ECustUpd EFWrite 0 3.2008 Mean delay for a send-no-reply request: Task Name Source Entry Target Entry Phase 1 Phase 2 TCart EBuy ECustUpd 57.3395 Service times: Task Name Entry Name Phase 1 Phase 2 TUsers EUserBeh 4876.34 TWebServer EAccess 1905.25 TImgDisk ERdImg 1 TStoreApp EBrowse 2170.43 EOrder 814.613 TCart EBuy 800.397 TInvDB EInvRd 42.7765 EInvUpd 23.5997 35.7503 TCustDB ECustRd 82.9728 ECustUpd 21.5873 26.1512 TFS EFRd 17.6683 EFWrite 5.88943 17.6683 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 3.88115e+007 1.63219 TWebServer EAccess 1.14147e+007 3.14457 TImgDisk ERdImg 1 1 TStoreApp EBrowse 5.31152e+006 1.12753 EOrder 1.97461e+006 2.97563 TCart EBuy 670880 1.04721 TInvDB EInvRd 3147.72 1.72023 EInvUpd 1289.4 1502.39 0.792579 TCustDB ECustRd 9401.27 1.36557 ECustUpd 1094.63 909.507 0.879409 TFS EFRd 224.165 0.71809 EFWrite 24.9073 224.165 0.448806 Throughputs and utilizations per phase: Task Name Entry Name Throughput Phase 1 Phase 2 Total TUsers EUserBeh 0.0174322 85.0053 85.0053 TWebServer EAccess 0.0174322 33.2126 33.2126 TImgDisk ERdImg 0.261486 0.261486 0.261486 TStoreApp EBrowse 0.0137431 29.8284 29.8284 EOrder 0.00368931 3.00535 3.00535 Total: 0.0174324 32.8338 32.8338 TCart EBuy 0.00368926 2.95287 2.95287 TInvDB EInvRd 0.188278 8.05388 8.05388 EInvUpd 0.00368868 0.0870515 0.131871 0.218923 Total: 0.191967 8.14093 0.131871 8.2728 TCustDB ECustRd 0 0 0 ECustUpd 0.00368926 0.0796412 0.0964787 0.17612 Total: 0.00368926 0.0796412 0.0964787 0.17612 TFS EFRd 0.311459 5.50295 5.50295 EFWrite 0.0156702 0.0922888 0.276867 0.369155 Total: 0.327129 5.59524 0.276867 5.8721 Utilization and waiting per phase for processor: PUsers Task Name Pri n Entry Name Utilization Phase 1 Phase 2 TUsers 0 85 EUserBeh 51.7864 0 Utilization and waiting per phase for processor: PImgDisk Task Name Pri n Entry Name Utilization Phase 1 Phase 2 TImgDisk 0 1 ERdImg 0.261486 0 Utilization and waiting per phase for processor: PWebServer Task Name Pri n Entry Name Utilization Phase 1 Phase 2 TWebServer 0 150 EAccess 0.0348644 0.0713383 Utilization and waiting per phase for processor: PStore Task Name Pri n Entry Name Utilization Phase 1 Phase 2 TStoreApp 0 90 EBrowse 0.206147 0 EOrder 0.0546948 0 Task Total: 0.260842 TCart 0 10 EBuy 0.110678 0.0504006 Processor Total: 0.371519 Utilization and waiting per phase for processor: PDBs Task Name Pri n Entry Name Utilization Phase 1 Phase 2 TInvDB 0 7 EInvRd 0.376556 0.971022 EInvUpd 0.0405755 0.485511 4.85511 Task Total: 0.417132 TCustDB 0 1 ECustRd 0 0 ECustUpd 0.0221356 0.594016 2.97008 Task Total: 0.0221356 Processor Total: 0.439267 Utilization and waiting per phase for processor: PFileServer Task Name Pri n Entry Name Utilization Phase 1 Phase 2 TFS 0 10 EFRd 0.934376 14.6685 EFWrite 0.0626809 4.88951 14.6685 Task Total: 0.997057