The longitudinal confinement of a plasma in a pulsed multi-mirror fusion reactor is investigated. It is shown that the initial plasma energy W p per unit of reactor cross-section and the initial plasma temperature T o serve as similarity parameters. One-dimensional numerical calculations of plasma flow along the reactor axis were performed for various W p and T o and were used to determine the plasma gain function QE(W P , T o ). The region of maximum values of QE lies near T o = 5 keV for all W p . Plasma heating by a-particles becomes substantial for values of Q exceeding unity. At W p = 20 MJcm" 2 , QE calculated with plasma heating by a-particles exceeds QE as calculated without including such heating by a factor of five. If the mirror ratio is increased by enlarging the cross-section towards the reactor ends, Q is further increased by a factor of two. A value of QE = 1 is achieved at an initial plasma energy of W p « 5 MJ-cm" 2 , and QE = 10 is achieved for W p «12MJ-cm" 2 .