15
capital-output ratios in manufacturing, cannot be decided
with confidence.
As a special case in which some of these complex relations
might be studied the problem of servicing machines may be
mentioned. When a number of automatic loons are tended in
common by a number of workers, the management wants to know
which combination of numbers of men and of machines is most
advantageous. This problem is solved by the methods of
stochastic processes '; it appears that an increase in scale
of operations up to a certain point yields better utilisation
of both men and machines. This is a special example of the
"principle of mossed reserves" (Sargent Florence) which has
very wide applications in the field of inventories, cash
holding etc. It is essentially a probabilistic problem and
has to be dealt^by these methods.
Evidence of the capital coefficient is still much too incom
plete to clarify all the details. It is safe to state,
hox/ever, that capital per man and scale of output increase
jointly in the course of technical progress, and the inter
relation of the throe elements is of great importance.
Cf. C. 9$1m, The Distribution of Repairmen in Servicing
Automatic IIochines (in Swedish) Industritidningen Norden
Vol. 75CW7).
W. Feller, Probability Theory and its Application. Vol. I.
XVII.7.
D.R. Cox and W.L. SmithJ Queues. London 1961, Chapter IVJ
Machine Interference.