Integerprogrammingisamathematicaloptimizationtechniquewheresomeorallofthevariablesarerestrictedtobeintegers.Itisanextensionoflinearprogrammingthatallowsfordiscretedecision-making,makingitsuitableforproblemsrequiringwhole-numbersolutions.Commonapplicationsincludescheduling,resourceallocation,andlogistics.Thechallengeliesinsolvingtheseproblemsefficientlyduetotheircombinatorialnature,oftenrequiringspecializedalgorithmslikebranch-and-boundorcuttingplanes.
