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 = 0.883629, $dem_order = 22.9751, $nusers = 51, $order_rate = 0.116371, $req_browse_read = 13.7797, $userThink = 1733.01 Convergence test value: 0.00742913 Number of iterations: 9 Solver: Elapsed: 0:00:00.000 Submodels: 6 MVA Core(): 54 MVA Step(): 763 MVA Wait(): 143891 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(51) 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 1733.01 TWebServer EAccess 2 TImgDisk ERdImg 1 TStoreApp EBrowse 15 EOrder 22.9751 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 0.883629 EAccess EOrder 0.116371 TStoreApp EBrowse EInvRd 13.7797 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 0.0058993 TWebServer EAccess 0.018003 TImgDisk ERdImg 0.277379 TStoreApp EBrowse 0.0151472 EOrder 0.0371915 TCart EBuy 0.00351451 TInvDB EInvRd 0.164785 EInvUpd 0.11894 TCustDB ECustRd 0.00312751 ECustUpd 0.00351394 TFS EFRd 0.330486 EFWrite 0.276405 Mean delay for a rendezvous: Task Name Source Entry Target Entry Phase 1 Phase 2 TUsers EUserBeh EAccess 0.403993 TWebServer EAccess ERdImg 0.308689 EAccess EBrowse 0.64213 EAccess EOrder 0.277938 TStoreApp EBrowse EInvRd 68.71 EOrder EBuy 0.0963852 TCart EBuy EInvRd 88.3289 EBuy EInvUpd 88.3293 TInvDB EInvRd EFRd 2.43386 EInvUpd EFRd 2.43386 0 EInvUpd EFWrite 0 1.335 TCustDB ECustRd EFRd 1.29534 ECustUpd EFRd 1.29534 0 ECustUpd EFWrite 0 2.54512 Mean delay for a send-no-reply request: Task Name Source Entry Target Entry Phase 1 Phase 2 TCart EBuy ECustUpd 50.5739 Service times: Task Name Entry Name Phase 1 Phase 2 TUsers EUserBeh 3160.47 TWebServer EAccess 1427.24 TImgDisk ERdImg 1 TStoreApp EBrowse 1517.57 EOrder 549.326 TCart EBuy 526.64 TInvDB EInvRd 40.3473 EInvUpd 22.2534 33.2044 TCustDB ECustRd 81.6337 ECustUpd 21.2237 25.1586 TFS EFRd 18.3631 EFWrite 6.12104 18.3631 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 1.8287e+007 1.8308 TWebServer EAccess 6.24946e+006 3.06796 TImgDisk ERdImg 1 1 TStoreApp EBrowse 2.57112e+006 1.11641 EOrder 865172 2.86709 TCart EBuy 285985 1.03113 TInvDB EInvRd 2856.84 1.75492 EInvUpd 1178.22 1287.95 0.80186 TCustDB ECustRd 9196.73 1.38005 ECustUpd 1083.04 841.145 0.894425 TFS EFRd 245.025 0.726637 EFWrite 27.225 245.025 0.454148 Throughputs and utilizations per phase: Task Name Entry Name Throughput Phase 1 Phase 2 Total TUsers EUserBeh 0.0161359 50.997 50.997 TWebServer EAccess 0.0161359 23.0298 23.0298 TImgDisk ERdImg 0.242073 0.242073 0.242073 TStoreApp EBrowse 0.0142602 21.6409 21.6409 EOrder 0.00187801 1.03164 1.03164 Total: 0.0161382 22.6725 22.6725 TCart EBuy 0.00187803 0.989047 0.989047 TInvDB EInvRd 0.202176 8.15727 8.15727 EInvUpd 0.00187804 0.0417928 0.0623594 0.104152 Total: 0.204054 8.19906 0.0623594 8.26142 TCustDB ECustRd 0 0 0 ECustUpd 0.00187803 0.0398587 0.0472486 0.0871073 Total: 0.00187803 0.0398587 0.0472486 0.0871073 TFS EFRd 0.322956 5.93048 5.93048 EFWrite 0.00787905 0.048228 0.144684 0.192912 Total: 0.330835 5.97871 0.144684 6.1234 Utilization and waiting per phase for processor: PUsers Task Name Pri n Entry Name Utilization Phase 1 Phase 2 TUsers 0 51 EUserBeh 27.9637 0 Utilization and waiting per phase for processor: PImgDisk Task Name Pri n Entry Name Utilization Phase 1 Phase 2 TImgDisk 0 1 ERdImg 0.242073 0 Utilization and waiting per phase for processor: PWebServer Task Name Pri n Entry Name Utilization Phase 1 Phase 2 TWebServer 0 150 EAccess 0.0322718 0.0653137 Utilization and waiting per phase for processor: PStore Task Name Pri n Entry Name Utilization Phase 1 Phase 2 TStoreApp 0 90 EBrowse 0.213903 0 EOrder 0.0431475 0 Task Total: 0.25705 TCart 0 10 EBuy 0.0563409 0.0186204 Processor Total: 0.313391 Utilization and waiting per phase for processor: PDBs Task Name Pri n Entry Name Utilization Phase 1 Phase 2 TInvDB 0 7 EInvRd 0.404352 0.912872 EInvUpd 0.0206585 0.456436 4.56436 Task Total: 0.425011 TCustDB 0 1 ECustRd 0 0 ECustUpd 0.0112682 0.565256 2.82628 Task Total: 0.0112682 Processor Total: 0.436279 Utilization and waiting per phase for processor: PFileServer Task Name Pri n Entry Name Utilization Phase 1 Phase 2 TFS 0 10 EFRd 0.968869 15.3631 EFWrite 0.0315162 5.12103 15.3631 Task Total: 1.00039