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 = 0.968474, $dem_order = 13.6406, $nusers = 245, $order_rate = 0.0315257, $req_browse_read = 13.5547, $userThink = 2950.71 Convergence test value: 0.00502955 Number of iterations: 10 Solver: Elapsed: 0:00:00.000 Submodels: 6 MVA Core(): 60 MVA Step(): 718 MVA Wait(): 65076 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(245) 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 2950.71 TWebServer EAccess 2 TImgDisk ERdImg 1 TStoreApp EBrowse 15 EOrder 13.6406 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 0.968474 EAccess EOrder 0.0315257 TStoreApp EBrowse EInvRd 13.5547 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 0.0402696 TWebServer EAccess 0.0437803 TImgDisk ERdImg 0.368925 TStoreApp EBrowse 0.0175942 EOrder 0.0442123 TCart EBuy 0.00308579 TInvDB EInvRd 0.167031 EInvUpd 0.120812 TCustDB ECustRd 0.00278365 ECustUpd 0.00308559 TFS EFRd 0.331022 EFWrite 0.276388 Mean delay for a rendezvous: Task Name Source Entry Target Entry Phase 1 Phase 2 TUsers EUserBeh EAccess 2483.25 TWebServer EAccess ERdImg 0.363698 EAccess EBrowse 3269.84 EAccess EOrder 3269.84 TStoreApp EBrowse EInvRd 336.565 EOrder EBuy 0 TCart EBuy EInvRd 444.608 EBuy EInvUpd 444.608 TInvDB EInvRd EFRd 0.744853 EInvUpd EFRd 0.744853 0 EInvUpd EFWrite 0 0.403716 TCustDB ECustRd EFRd 0.385339 ECustUpd EFRd 0.385339 0 ECustUpd EFWrite 0 1.97258 Mean delay for a send-no-reply request: Task Name Source Entry Target Entry Phase 1 Phase 2 TCart EBuy ECustUpd 46.4061 Service times: Task Name Entry Name Phase 1 Phase 2 TUsers EUserBeh 13725.2 TWebServer EAccess 8291.15 TImgDisk ERdImg 1 TStoreApp EBrowse 5097.81 EOrder 1958.31 TCart EBuy 1944.97 TInvDB EInvRd 38.4442 EInvUpd 21.1984 31.2092 TCustDB ECustRd 80.6152 ECustUpd 20.945 24.33 TFS EFRd 19.0185 EFWrite 6.33948 19.0185 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 4.84581e+008 2.57234 TWebServer EAccess 1.73974e+008 2.53079 TImgDisk ERdImg 1 1 TStoreApp EBrowse 2.94654e+007 1.13382 EOrder 1.17331e+007 3.0595 TCart EBuy 4.11527e+006 1.08785 TInvDB EInvRd 2658.83 1.79899 EInvUpd 1105.67 1137.01 0.816543 TCustDB ECustRd 9067.79 1.3953 ECustUpd 1080.4 787.91 0.91145 TFS EFRd 265.591 0.734282 EFWrite 29.5101 265.591 0.458926 Throughputs and utilizations per phase: Task Name Entry Name Throughput Phase 1 Phase 2 Total TUsers EUserBeh 0.0178505 245.002 245.002 TWebServer EAccess 0.0178505 148.001 148.001 TImgDisk ERdImg 0.267738 0.267738 0.267738 TStoreApp EBrowse 0.0172865 88.1231 88.1231 EOrder 0.000562708 1.10196 1.10196 Total: 0.0178492 89.2251 89.2251 TCart EBuy 0.000562707 1.09445 1.09445 TInvDB EInvRd 0.235997 9.0727 9.0727 EInvUpd 0.000562707 0.0119285 0.0175616 0.0294901 Total: 0.236559 9.08463 0.0175616 9.10219 TCustDB ECustRd 0 0 0 ECustUpd 0.000562707 0.0117859 0.0136906 0.0254765 Total: 0.000562707 0.0117859 0.0136906 0.0254765 TFS EFRd 0.331455 6.30376 6.30376 EFWrite 0.00221994 0.0140733 0.0422199 0.0562932 Total: 0.333675 6.31783 0.0422199 6.36005 Utilization and waiting per phase for processor: PUsers Task Name Pri n Entry Name Utilization Phase 1 Phase 2 TUsers 0 245 EUserBeh 52.6716 0 Utilization and waiting per phase for processor: PImgDisk Task Name Pri n Entry Name Utilization Phase 1 Phase 2 TImgDisk 0 1 ERdImg 0.267738 0 Utilization and waiting per phase for processor: PWebServer Task Name Pri n Entry Name Utilization Phase 1 Phase 2 TWebServer 0 150 EAccess 0.035701 0.0738513 Utilization and waiting per phase for processor: PStore Task Name Pri n Entry Name Utilization Phase 1 Phase 2 TStoreApp 0 90 EBrowse 0.259297 0 EOrder 0.00767565 0 Task Total: 0.266973 TCart 0 10 EBuy 0.0168812 0.0151752 Processor Total: 0.283854 Utilization and waiting per phase for processor: PDBs Task Name Pri n Entry Name Utilization Phase 1 Phase 2 TInvDB 0 7 EInvRd 0.471993 0.870234 EInvUpd 0.00618978 0.435117 4.35117 Task Total: 0.478183 TCustDB 0 1 ECustRd 0 0 ECustUpd 0.00337624 0.541167 2.70584 Task Total: 0.00337624 Processor Total: 0.481559 Utilization and waiting per phase for processor: PFileServer Task Name Pri n Entry Name Utilization Phase 1 Phase 2 TFS 0 10 EFRd 0.994364 16.0185 EFWrite 0.00887978 5.33949 16.0185 Task Total: 1.00324