The approach of "controlled supply of slow-release particles" is evaluated for a dissolving carrier system containing drug particles. Drug dissolution from this system is calculated after solving a convolution integral. The effects of geometry and relative dissolution time between drug particles and carrier device on drug dissolution kinetics are considered. Minima in the deviation of the dissolution profiles from linearity as a function of relative dissolution time are found. The impacts of geometry on the minima are discussed. Incorporation of a second system of isometric drug particles in an isometric carrier shows less deviation from constant-release kinetics when suitable values of the parameters affecting drug release are used in the calculations. A substantially constant rate of release of drug can be realized for a system of two carriers, each containing "slow-release" drug particles. The initial deviation from linearity in the sigmoidally shaped profile of drug dissolved in time from one of the two carriers is eliminated by the release of dissolved drug from the second carrier. About 80% of the drug content is dissolved at a constant rate by the combination of the two carriers.