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PREFACE
Themathematicaldefinitionofoptimizationissimple,butthepractical
determinationoftheoptimumisacomplextask.Inmanyrealoptimizationproblems
thereisacomplexfunctionwherefindingtheoptimumglobalorwithinagivenrange
isnoteasy.Overtheyears,manyoptimizationalgorithmshavebeendevelopedinthe
formofoptimizationalgorithmsandanewresearchdepartmenthasdeveloped,called
operationalresearch.Theoptimizationmethodisconcernedwiththeoptimization
theoryasabranchofmathematics.Ineconomicsliteratureoptimizationisoften
referredtoaseconomicprogramming.
Thishandbookpresentsfourmainchaptersthatallowyoutoformulatean
optimizationtaskandchooseamethodforsolvingitfromstaticanddynamic
optimizationmethodstoone-criterionandmulti-criterionoptimization.
Inthegroupofstaticoptimizationmethods,themethodsare:withoutconstraints
andwithconstraints,gradientandnon-gradientandheuristic.
Dynamicoptimizationmethodsaredividedinto:basic-directandindirectand
special.
Particularattentionhasbeenpaidtomulti-criterionoptimizationinsingle-object
approachasstaticanddynamicoptimization,andmulti-objectoptimizationingame
controlscenariosforexamplesofsafeshiptrafficcontrol.
Thismanualshowsnotonlytheclassicoptimizationmethodsthatweredeveloped
manyyearsago,butalsothelatestinthefield,including,butnotlimitedto,particle
swarms.
Themanualcontainsadescriptionofdozensofoptimizationmethods,most
commonlyusedinthedesignoftechnicalsystems,presentedintheformof
mathematicalrelationships,graphsandtables,andexamplesoftheirpractical
applications.
Atotalof64optimizationmethodsweredescribedand33examplesoftheir
applicationswerereported.
Thebookisaddressedprimarilytostudentsofsenioryearsintechnical,
informatics,mathematics,oreveneconomics.Itwillalsobeavaluableassetfor
researchersandpractitionersinterestedinfindingoptimalsolutionsintheareasof
control,designoroperationofvariousprocesses.
Theendofthetextbookpresentsawealthofbibliographyonoptimization.
