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CO 370 (47)
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Department
Combinatorics and Optimization
Course
CO 370
Professor
Uzma Rehman
Semester
Winter

Description
CO370DeterministicORModelsWinter2013Assignment1LPFormulationsSolutionsProblem1AMPL10marksThepurposeofthisquestionistogetyoucomfortablewithAMPLInclasswesawhowtotranslateanLPintoAMPLstatementsHereyouareaskedtoperformthereversetranslationaWritedownthemodelexpressedbytheAMPLstatementsinthefollowingAMPLmodleasanLPThatiswriteanLPoftheformminstthatexpressesthemodlebelowsetjobsdeclaresasetofjobssetmachinesdeclaresasetofmachinesparamptimemachinesjobs0declaresa2Darrayofnonnegativeelementswithrowsindexedbymachinesandcolumnsindexedbyjobsptimeijprocessingtimejobjneedsifprocessedonmachineivarxmachinesjobs0declaresa2Darrayofnonnegativevariableswherexijfractionofjobjprocessedonmachineivarcmax0declaresanonnegativevariabledenotingthemaximumcompletiontimeofanyjobminimizectimecmaxeveryjobmustbeassignedsubjecttojobasgnjinjobssumiinmachinesxij1thetotalloadonanymachinecannotexceedthemaxcompletiontimesubjecttomcloadiinmachinessumjinjobspijxijcmaxthetotaltimetoprocessanyjobcannotexceedthemaxcompletiontimesubjecttojobloadjinjobssumiinmachinespijxijcmax5marks1
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