Method of operating a slicing machine for cutting slices (14', 14", 14′′′) from a strand-shaped product to be sliced, preferably food, having a cutting device comprising a circular blade that rotates on a cutting plane about an axis of rotation (x) and is driven by an electric circular blade motor, having a carriage that carries a support plate for placing the product to be sliced and that can be moved at a carriage speed v s parallel to the cutting plane, and having a chain of a chain frame that is driven by an electric chain frame motor for transporting away cut slices of product (14', 14", 14′′′) at a transport speed v T and for depositing them on a receiving table (7") or a conveyor belt, a number n≥2 of strands of product to be sliced (12', 12", 12′′′) being placed parallel to one another on the support plate with their strand axes (13', 13", 13′′′) aligned in the direction of the cutting plane before commencement of the slicing operation, so that a number of n slices of product (14', 14", 14′′′) are cut from the n strands of product to be sliced (12′, 12", 12′′′) in one carriage stroke, characterized in that the instantaneous carriage speed v s (t) of the carriage is a specifiably controllable function of the time t that is decreased after each complete cutting of a single slice of product (14', 14", 14′′′) from the corresponding strand of product to be sliced (12', 12", 12′′′) during a subsequent time interval of duration Δt to the instantaneous carriage speed v s (t)=v s - Δv s; and/or in that the instantaneous transport speed v T (t) of the chain frame is a specifiably controllable function of the time t that is increased after each complete cutting of a single slice of product (14', 14", 14′′′) from the corresponding strand of product to be sliced (12', 12", 12′′′) during a subsequent time interval of duration Δt to the instantaneous transport speed v T (t)=v T +Δv T; and in that, once each time interval of duration Δt has elapsed, the instantaneous carriage speed v s (t) of the carriage is again increased to v s (t)=v s and/or the instantaneous transport speed v T (t) of the chain frame is again decreased to v T (t)=v T; and in that, immediately prior to or after placement of the n strands of product to be sliced (12', 12", 12′′′) onto the support plate, the number n, the width of the strands of product to be sliced (12', 12", 12′′′), and the desired distance (eps) between the successively cut slices (14', 14", 14′′′) on the chain frame are sent to a control device, which calculates from this the beginning and end of each time interval of the duration Δt, the required reduced instantaneous carriage speed v s (t)=v s -Δv s and, if necessary, the required increased instantaneous transport speed v T (t)=v T +Δv T of the chain frame and controls the respective moving parts of the slicing machine accordingly. the instantaneous carriage speed v s (t) of the carriage is a specifiably controllable function of the time t that is decreased after each complete cutting of a single slice of product (14', 14", 14′′′) from the corresponding strand of product to be sliced (12', 12", 12′′′) during a subsequent time interval of duration Δt to the instantaneous carriage speed v s (t)=v s - Δv s; and/or in that the instantaneous transport speed v T (t) of the chain frame is a specifiably controllable function of the time t that is increased after each complete cutting of a single slice of product (14', 14", 14′′′) from the corresponding strand of product to be sliced (12', 12", 12′′′) during a subsequent time interval of duration Δt to the instantaneous transport speed v T (t)=v T +Δv T; and in that, once each time interval of duration Δt has elapsed, the instantaneous carriage speed v s (t) of the carriage is again increased to v s (t)=v s and/or the instantaneous transport speed v T (t) of the chain frame is again decreased to v T (t)=v T; and in that, immediately prior to or after placement of the n strands of product to be sliced (12', 12", 12′′′) onto the support plate, the number n, the width of the strands of product to be sliced (12', 12", 12′′′), and the desired distance (eps) between the successively cut slices (14', 14", 14′′′) on the chain frame are sent to a control device, which calculates from this the beginning and end of each time interval of the duration Δt, the required reduced instantaneous carriage speed v s (t)=v s -Δv s and, if necessary, the required increased instantaneous transport speed v T (t)=v T +Δv T of the chain frame and controls the respective moving parts of the slicing machine accordingly.