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 -a -w ecomm2011.xlqn Input: ecomm2011.xlqn Comment: ... Variables: $browse_rate = 0.809968, $dem_order = 47.5099, $nusers = 158, $order_rate = 0.190032, $req_browse_read = 12.5867, $userThink = 1632.59 Convergence test value: 0.00685478 Number of iterations: 12 Pragma: severity-level=warning Solver: Elapsed: 0:00:00.000 Submodels: 6 MVA Core(): 72 MVA Step(): 1198 MVA Wait(): 220504 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(158) 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 1632.59 TWebServer EAccess 2 TImgDisk ERdImg 1 TStoreApp EBrowse 15 EOrder 47.5099 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 0.809968 EAccess EOrder 0.190032 TStoreApp EBrowse EInvRd 12.5867 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 0.0886258 TWebServer EAccess 0.08308 TImgDisk ERdImg 0.0913879 TStoreApp EBrowse 0.0494842 EOrder 0.0503364 TCart EBuy 0.00111069 TInvDB EInvRd 0.0605017 EInvUpd 0.0554936 TCustDB ECustRd 0.00110389 ECustUpd 0.00111069 TFS EFRd 0.114037 EFWrite 0.112225 Mean delay for a rendezvous: Task Name Source Entry Target Entry Phase 1 Phase 2 TUsers EUserBeh EAccess 9.09792 TWebServer EAccess ERdImg 0.381789 EAccess EBrowse 2082.69 EAccess EOrder 2082.03 TStoreApp EBrowse EInvRd 382.663 EOrder EBuy 199.667 TCart EBuy EInvRd 486.985 EBuy EInvUpd 486.989 TInvDB EInvRd EFRd 4.19233 EInvUpd EFRd 4.19233 0 EInvUpd EFWrite 0 2.32013 TCustDB ECustRd EFRd 2.14016 ECustUpd EFRd 2.14016 0 ECustUpd EFWrite 0 3.07933 Mean delay for a send-no-reply request: Task Name Source Entry Target Entry Phase 1 Phase 2 TCart EBuy ECustUpd 56.3559 Service times: Task Name Entry Name Phase 1 Phase 2 TUsers EUserBeh 8544.59 TWebServer EAccess 6902.99 TImgDisk ERdImg 1 TStoreApp EBrowse 5365.9 EOrder 2375.2 TCart EBuy 2129.05 TInvDB EInvRd 42.4786 EInvUpd 23.4346 35.4171 TCustDB ECustRd 82.6037 ECustUpd 21.4912 25.9504 TFS EFRd 17.7612 EFWrite 5.92039 17.7612 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 2.40726e+008 3.29716 TWebServer EAccess 1.19906e+008 2.51632 TImgDisk ERdImg 1 1 TStoreApp EBrowse 3.29492e+007 1.14435 EOrder 1.60384e+007 2.8429 TCart EBuy 4.93406e+006 1.08851 TInvDB EInvRd 3110.69 1.72392 EInvUpd 1275.14 1473.17 0.793503 TCustDB ECustRd 9334.16 1.36797 ECustUpd 1088.93 895.015 0.881478 TFS EFRd 226.883 0.719214 EFWrite 25.2092 226.883 0.449509 Throughputs and utilizations per phase: Task Name Entry Name Throughput Phase 1 Phase 2 Total TUsers EUserBeh 0.018491 157.998 157.998 TWebServer EAccess 0.018491 127.643 127.643 TImgDisk ERdImg 0.277381 0.277381 0.277381 TStoreApp EBrowse 0.014978 80.3703 80.3703 EOrder 0.00351408 8.34664 8.34664 Total: 0.0184921 88.717 88.717 TCart EBuy 0.0035141 7.48171 7.48171 TInvDB EInvRd 0.199096 8.45731 8.45731 EInvUpd 0.00351451 0.0823609 0.124474 0.206835 Total: 0.20261 8.53967 0.124474 8.66414 TCustDB ECustRd 0 0 0 ECustUpd 0.0035141 0.0755222 0.0911922 0.166714 Total: 0.0035141 0.0755222 0.0911922 0.166714 TFS EFRd 0.313049 5.56012 5.56012 EFWrite 0.0145495 0.0861387 0.258416 0.344555 Total: 0.327599 5.64626 0.258416 5.90468 Utilization and waiting per phase for processor: PUsers Task Name Pri n Entry Name Utilization Phase 1 Phase 2 TUsers 0 158 EUserBeh 30.1883 0 Utilization and waiting per phase for processor: PImgDisk Task Name Pri n Entry Name Utilization Phase 1 Phase 2 TImgDisk 0 1 ERdImg 0.277381 0 Utilization and waiting per phase for processor: PWebServer Task Name Pri n Entry Name Utilization Phase 1 Phase 2 TWebServer 0 150 EAccess 0.0369821 0.0766112 Utilization and waiting per phase for processor: PStore Task Name Pri n Entry Name Utilization Phase 1 Phase 2 TStoreApp 0 90 EBrowse 0.22467 0 EOrder 0.166954 0 Task Total: 0.391623 TCart 0 10 EBuy 0.105423 0.207003 Processor Total: 0.497046 Utilization and waiting per phase for processor: PDBs Task Name Pri n Entry Name Utilization Phase 1 Phase 2 TInvDB 0 7 EInvRd 0.398192 0.963382 EInvUpd 0.0386596 0.481691 4.81691 Task Total: 0.436851 TCustDB 0 1 ECustRd 0 0 ECustUpd 0.0210846 0.590324 2.95162 Task Total: 0.0210846 Processor Total: 0.457936 Utilization and waiting per phase for processor: PFileServer Task Name Pri n Entry Name Utilization Phase 1 Phase 2 TFS 0 10 EFRd 0.939148 14.7608 EFWrite 0.058198 4.92028 14.7608 Task Total: 0.997346