A Note on Single Machine Scheduling with Coefficient of Completion Time Variation Minimization

1.IntroductionGivenasetN~{1,2,...,n},n>1,ofindependentandsimultaneouslyavailablejobswhicharetobeprocessednonpreemptivelyonasinglemachine,jobirequiresapositiveprocessingtimepiandisassignedapositiveweightfi,iEN.Let11bethesetofn!possiblepermutationsofintegers1,2,...,n,and7~{[l],[2]!...I[n]}E11beajobsequencewhichdenotesthatjob[k]isthekthjobtobeprocessedonthemachine.Assumethatthemachinestratstoprocessthefirstjobattimezero.TheproblemistofindajobsequenceT*E11tominimizewhereC[i]isthecompletiontime…     

Quadratic stability of uncertain distributed-parameter systems

This note is concerned with the quadratic stability of uncertaindistributed-parameter systems, in which time-varying unknown-but-boundedparameters come into the state operator. With the applicationof some operator methods, we characterize this stability undera mild assumption, and generalize related results in the finitedimensional case.