An edge-cutting device (5) performs edge-cutting for cutting away trimmings of a corrugated cardboard sheet toward the front and back when switching between orders is to be performed in a corrugating machine (1). This edge-cutting device (5) has: an edge-cutting knife (51) that is provided so as to project from the outer circumference of a cylinder (51a) having an axis disposed in the width direction of the corrugating machine; and a control device (70) that, when switching between orders is to be performed, controls the edge-cutting device (5) to perform a first edge-cutting process for edge-cutting trimming of an old order at the first rotation of the edge-cutting knife (51) and a second edge-cutting process for edge-cutting trimming of a new order at the second rotation. The control device (70) is provided with a calculation means (72) for calculating the order switching time, and a variable control means (74) for variably controlling the time interval between the first edge-cutting process and the second edge-cutting process, within the order switching time.
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