V = 11.9/ (F 0.665(48/3 D) 0.2373 + (2.4 / (18 + 24D))

After these laws had been investigated and the various formulae which

mathematically expressed them had been determined, there still remained

the difficult task of how to solve one of these complicated mathematical

problems quickly enough to make this knowledge available for every-day

use. If a good mathematician who had these formula before him were to

attempt to get the proper answer (i.e., to get the correct cutting speed

and feed by working in the ordinary way) it would take him from two to

six hours, say, to solve a single problem; far longer to solve the

mathematical problem than would be taken in most cases by the workmen in

doing the whole job in his machine. Thus a task of considerable

magnitude which faced us was that of finding a quick solution of this

problem, and as we made progress in its solution, the whole problem was

from time to time presented by the writer to one after another of the

noted mathematicians in this country. They were offered any reasonable

fee for a rapid, practical method to be used in its solution. Some of

these men merely glanced at it; others, for the sake of being courteous,

kept it before them for some two or three weeks. They all gave us

practically the same answer: that in many cases it was possible to,

solve mathematical problems which contained four variables, and in some

cases problems with five or six variables, but that it was manifestly

impossible to solve a problem containing twelve variables in any other

way than by the slow process of "trial and error."

A quick solution was, however, so much of a necessity in our every-day

work of running machine-shops, that in spite of the small encouragement

received from the mathematicians, we continued at irregular periods,

through a term of fifteen years, to give a large amount of time

searching for a simple solution. Four or five men at various periods

gave practically their whole time to this work, and finally, while we

were at the Bethlehem Steel Company, the slide-rule was developed which

is illustrated on Folder No. 11 of the paper "On the Art of Cutting

Metals," and is described in detail in the paper presented by Mr. Carl

G. Barth to the American Society of Mechanical Engineers, entitled

"Slide-rules for the Machine-shop, as a part of the Taylor System of

Management" (Vol. XXV of The Transactions of the American Society of

Mechanical Engineers). By means of this slide-rule, one of these

intricate problems can be solved in less than a half minute by any good

mechanics whether he understands anything about mathematics or not, thus

making available for every-day, practical use the years of experimenting

on the art of cutting metals. This is a good illustration of the fact

that some way can always be found of making practical, everyday use of

complicated scientific data, which appears to be beyond the experience

and the range of the technical training of ordinary practical men. These

slide-rules have been for years in constant daily use by machinists

having no knowledge of mathematics.

A glance at the intricate mathematical formula (see page 109) which

represent the laws of cutting metals should clearly show the reason why

it is impossible for any machinist, without the aid of these laws, and

who depends upon his personal experience, correctly to guess at the

answer to the two questions,

What speed shall I use?

What feed shall I use?

even though he may repeat the same piece of work many times.

To return to the case of the machinist who had been working for ten to

twelve years in machining the same pieces over and over again, there was

but a remote chance in any of the various kinds of work which this man

did that he should hit upon the one best method of doing each piece of

work out of the hundreds of possible methods which lay before him. In

considering this typical case, it must also be remembered that the

metal-cutting machines throughout our machine-shops have practically all

been speeded by their makers by guesswork, and without the knowledge

obtained through a study of the art of cutting metals. In the

machine-shops systematized by us we have found that there is not one

machine in a hundred which is speeded by its makers at anywhere near the

correct cutting speed. So that, in order to compete with the science of

cutting metals, the machinist, before he could use proper speeds, would

first have to put new pulleys on the countershaft of his machine, and

also make in most cases changes in the shapes and treatment of his

tools, etc. Many of these changes are matters entirely beyond his

control, even if he knows what ought to be done.

If the reason is clear to the reader why the rule-of-thumb knowledge

obtained by the machinist who is engaged on repeat work cannot possibly

compete with the true science of cutting metals, it should be even more

apparent why the high-class mechanic, who is called upon to do a great

variety of work from day to day, is even less able to compete with this

science. The high-class mechanic who does a different kind of work each

day, in order to do each job in the quickest time, would need, in

addition to a thorough knowledge of the art of cutting metals, a vast

knowledge and experience in the quickest way of doing each kind of hand

work. And the reader, by calling to mind the gain which was made by Mr.

Gilbreth through his motion and time study in laying bricks, will

appreciate the great possibilities for quicker methods of doing all

kinds of hand work which lie before every tradesman after he has the

help which comes from a scientific motion and time study of his work.

For nearly thirty years past, time-study men connected with the

management of machine-shops have been devoting their whole time to a

scientific motion study, followed by accurate time study, with a

stop-watch, of all of the elements connected with the machinist's work.

When, therefore, the teachers, who form one section of the management,

and who are cooperating with the working men, are in possession both of

the science of cutting metals and of the equally elaborate motion-study

and time-study science connected with this work, it is not difficult to

appreciate why even the highest class mechanic is unable to do his best

work without constant daily assistance from his teachers. And if this

fact has been made clear to the reader, one of the important objects in

writing this paper will have been realized.

It is hoped that the illustrations which have been given make it

apparent why scientific management must inevitably in all cases produce

overwhelmingly greater results, both for the company and its employees,

than can be obtained with the management of "initiative and incentive."

And it should also be clear that these results have been attained, not

through a marked superiority in the mechanism of one type of management

over the mechanism of another, but rather through the substitution of

one set of underlying principles for a totally different set of

principles, by the substitution of one philosophy for another philosophy

in industrial management.

To repeat them throughout all of these illustrations, it will be seen

that the useful results have hinged mainly upon (1) the substitution of

a science for the individual judgment of the workman; (2) the scientific

selection and development of the workman, after each man has been

studied, taught, and trained, and one may say experimented with, instead

of allowing the workmen to select themselves and develop in a haphazard

way; and (3) the intimate cooperation of the management with the

workmen, so that they together do the work in accordance with the

scientific laws which have been developed, instead of leaving the

solution of each problem in the hands of the individual workman. In

applying these new principles, in place of the old individual effort of

each workman, both sides share almost equally in the daily performance

of each task, the management doing that part of the work for which they

are best fitted, and the workmen the balance.

It is for the illustration of this philosophy that this paper has been

written, but some of the elements involved in its general principles

should be further discussed.

The development of a science sounds like a formidable undertaking, and

in fact anything like a thorough study of a science such as that of

cutting metals necessarily involves many years of work. The science of

cutting metals, however, represents in its complication, and in the time

required to develop it, almost an extreme case in the mechanic arts. Yet

even in this very intricate science, within a few months after starting,

enough knowledge had been obtained to much more than pay for the work of

experimenting. This holds true in the case of practically all scientific

development in the mechanic arts. The first laws developed for cutting

metals were crude, and contained only a partial knowledge of the truth,

yet this imperfect knowledge was vastly better than the utter lack of

exact information or the very imperfect rule of thumb which existed

before, and it enabled the workmen, with the help of the management, to

do far quicker and better work.

For example, a very short time was needed to discover one or two types

of tools which, though imperfect as compared with the shapes developed

years afterward, were superior to all other shapes and kinds in common

use. These tools were adopted as standard and made possible an immediate

increase in the speed of every machinist who used them. These types were

superseded in a comparatively short time by still other tools which

remained standard until they in their turn made way for later

improvements.*

[*Footnote: Time and again the experimenter in the mechanic arts will

find himself face to face with the problem as to whether he had better

make immediate practical use of the knowledge which he has attained, or

wait until some positive finality in his conclusions has been reached.

He recognizes clearly the fact that he has already made some definite

progress, but sees the possibility (even the probability) of still

further improvement. Each particular case must of course be

independently considered, but the general conclusion we have reached is

that in most instances it is wise to put one's conclusions as soon as

possible to the rigid test of practical use. The one indispensable

condition for such a test, however, is that the experimenter shall have

full opportunity, coupled with sufficient authority, to insure a

thorough and impartial trial. And this, owing to the almost universal

prejudice in favor of the old, and to the suspicion of the new, is

difficult to get.]

The science which exists in most of the mechanic arts is, however, far

simpler than the science of cutting metals. In almost all cases, in

fact, the laws or rules which are developed are so simple that the

average man would hardly dignify them with the name of a science. In

most trades, the science is developed through a comparatively simple

analysis and time study of the movements required by the workmen to do

some small part of his work, and this study is usually made by a man

equipped merely with a stop-watch and a properly ruled notebook.

Hundreds of these "time-study men" are now engaged in developing

elementary scientific knowledge where before existed only rule of thumb.

Even the motion study of Mr. Gilbreth in bricklaying (described on pages

77 to 84) involves a much more elaborate investigation than that which

occurs in most cases. The general steps to be taken in developing a

simple law of this class are as follows:

First. Find, say, 10 or 15 different men (preferably in as many separate

establishments and different parts of the country) who are especially

skilful in doing the particular work to be analyzed.

Second. Study the exact series of elementary operations or motions which

each of these men uses in doing the work which is being investigated, as

well as the implements each man uses.

Third. Study with a stop-watch the time required to make each of these

elementary movements and then select the quickest way of doing each

element of the work.

Fourth. Eliminate all false movements, slow movements, and useless

movements.

Fifth. After doing away with all unnecessary movements, collect into one

series the quickest and best movements as well as the best implements.

This one new method, involving that series of motions which can be made

quickest and best, is then substituted in place of the ten or fifteen

inferior series which were formerly in use. This best method becomes

standard, and remains standard, to be taught first to the teachers (or

functional foremen) and by them to every workman in the establishment

until it is superseded by a quicker and better series of movements. In

this simple way one element after another of the science is developed.

In the same way each type of implement used in a trade is studied. Under

the philosophy of the management of "initiative and incentive" each

work-man is called upon to use his own best judgment, so as to do the

work in the quickest time, and from this results in all cases a large

variety in the shapes and types of implements which are used for any

specific purpose. Scientific management requires, first, a careful

investigation of each of the many modifications of the same implement,

developed under rule of thumb; and second, after a time study has been

made of the speed attainable with each of these implements, that the

good points of several of them shall be united in a single standard

implement, which will enable the workman to work faster and with greater

ease than he could before. This one implement, then, is adopted as

standard in place of the many different kinds before in use, and it

remains standard for all workmen to use until superseded by an implement

which has been shown, through motion and time study, to be still better.

With this explanation it will be seen that the development of a science

to replace rule of thumb is in most cases by no means a formidable

under-taking, and that it can be accomplished by ordinary, every-day men

without any elaborate scientific training; but that, on the other hand,

the successful use of even the simplest improvement of this kind calls

for records, system, and cooperation where in the past existed only

individual effort.

There is another type of scientific investigation which has been

referred to several times in this paper, and which should receive

special attention, namely, the accurate study of the motives which

influence men. At first it may appear that this is a matter for

individual observation and judgment, and is not a proper subject for

exact scientific experiments. It is true that the laws which result from

experiments of this class, owing to the fact that the very complex

organism--the human being--is being experimented with, are subject to a

larger number of exceptions than is the case with laws relating to

material things. And yet laws of this kind, which apply to a large

majority of men, unquestionably exist, and when clearly defined are of

great value as a guide in dealing with men. In developing these laws,

accurate, carefully planned and executed experiments, extending through

a term of years, have been made, similar in a general way to the

experiments upon various other elements which have been referred to in

this paper. Perhaps the most important law belonging to this class, in

its relation to scientific management, is the effect which the task idea

has upon the efficiency of the workman. This, in fact, has become such

an important element of the mechanism of scientific management, that by

a great number of people scientific management has come to be known as

"task management."

There is absolutely nothing new in the task idea. Each one of us will

remember that in his own case this idea was applied with good results in

his school-boy days. No efficient teacher would think of giving a class

of students an indefinite lesson to learn. Each day a definite,

clear-cut task is set by the teacher before each scholar, stating that

he must learn just so much of the subject; and it is only by this means

that proper, systematic progress can be made by the students. The

average boy would go very slowly if, instead of being given a task, he

were told to do as much as he could. All of us are grown-up children,

and it is equally true that the average workman will work with the

greatest satisfaction, both to himself and to his employer, when he is

given each day a definite task which he is to perform in a given time,

and which constitutes a proper day's work for a good workman. This

furnishes the workman with a clear-cut standard, by which he can

throughout the day measure his own progress, and the accomplishment of

which affords him the greatest satisfaction.

The writer has described in other papers a series of experiments made

upon workmen, which have resulted in demonstrating the fact that it is

impossible, through any long period of time, to get work-men to work

much harder than the average men around them, unless they are assured a

large and a permanent increase in their pay. This series of experiments,

however, also proved that plenty of workmen can be found who are willing

to work at their best speed, provided they are given this liberal

increase in wages. The workman must, however, be fully assured that this

increase beyond the average is to be permanent. Our experiments have

shown that the exact percentage of increase required to make a workman

work at his highest speed depends upon the kind of work which the man is

doing.

It is absolutely necessary, then, when workmen are daily given a task

which calls for a high rate of speed on their part, that they should

also be insured the necessary high rate of pay whenever they are

successful. This involves not only fixing for each man his daily task,

but also paying him a large bonus, or premium, each time that he

succeeds in doing his task in the given time. It is difficult to

appreciate in full measure the help which the proper use of these two

elements is to the workman in elevating him to the highest standard of

efficiency and speed in his trade, and then keeping him there, unless

one has seen first the old plan and afterward the new tried upon the

same man. And in fact until one has seen similar accurate experiments

made upon various grades of workmen engaged in doing widely different

types of work. The remarkable and almost uniformly good results from the

correct application of the task and the bonus must be seen to be

appreciated.

These two elements, the task and the bonus (which, as has been pointed

out in previous papers, can be applied in several ways), constitute two

of the most important elements of the mechanism of scientific

management. They are especially important from the fact that they are,

as it were, a climax, demanding before they can be used almost all of

the other elements of the mechanism; such as a planning department,

accurate time study, standardization of methods and implements, a

routing system, the training of functional foremen or teachers, and in

many cases instruction cards slide-rules, etc. (Referred to later in

rather more detail on page 129.)

The necessity for systematically teaching workmen how to work to the

best advantage has been several times referred to. It seems desirable,

therefore, to explain in rather more detail how this teaching is done.

In the case of a machine-shop which is managed under the modern system,

detailed written instructions as to the best way of doing each piece of

work are prepared in advance, by men in the planning department. These

instructions represent the combined work of several men in the planning

room, each of whom has his own specialty, or function. One of them, for

instance, is a specialist on the proper speeds and cutting tools to be

used. He uses the slide-rules which have been above described as an aid,

to guide him in obtaining proper speeds, etc. Another man analyzes the

best and quickest motions to be made by the workman in setting the work

up in the machine and removing it, etc. Still a third, through the

time-study records which have been accumulated, makes out a timetable

giving the proper speed for doing each element of the work. The

directions of all of these men, however, are written on a single

instruction card, or sheet.

These men of necessity spend most of their time in the planning

department, because they must be close to the records and data which

they continually use in their work, and because this work requires the

use of a desk and freedom from interruption. Human nature is such,

however, that many of the workmen, if left to themselves, would pay but

little attention to their written instructions. It is necessary,

therefore, to provide teachers (called functional foremen) to see that

the workmen both understand and carry out these written instructions.

Under functional management, the old-fashioned single foreman is

superseded by eight different men, each one of whom has his own special

duties, and these men, acting as the agents for the planning department

(see paragraph 234 to 245 of the paper entitled "Shop Management"), are

the expert teachers, who are at all times in the shop, helping, and

directing the workmen. Being each one chosen for his knowledge and

personal skill in his specialty, they are able not only to tell the

workman what he should do, but in case of necessity they do the work

themselves in the presence of the workman, so as to show him not only

the best but also the quickest methods.

One of these teachers (called the inspector) sees to it that he

understands the drawings and instructions for doing the work. He teaches

him how to do work of the right quality; how to make it fine and exact

where it should be fine, and rough and quick where accuracy is not

required,--the one being just as important for success as the other. The

second teacher (the gang boss) shows him how to set up the job in his

machine, and teaches him to make all of his personal motions in the

quickest and best way. The third (the speed boss) sees that the machine

is run at the best speed and that the proper tool is used in the

particular way which will enable the machine to finish its product in

the shortest possible time. In addition to the assistance given by these

teachers, the workman receives orders and help from four other men; from

the "repair boss" as to the adjustment, cleanliness, and general care of

his machine, belting, etc.; from the "time clerk," as to everything

relating to his pay and to proper written reports and returns; from the

"route clerk," as to the order in which he does his work and as to the

movement of the work from one part of the shop to another; and, in case

a workman gets into any trouble with any of his various bosses, the

"disciplinarian" interviews him.

It must be understood, of course, that all workmen engaged on the same

kind of work do not require the same amount of individual teaching and

attention from the functional foremen. The men who are new at a given

operation naturally require far more teaching and watching than those

who have been a long time at the same kind of jobs.

Now, when through all of this teaching and this minute instruction the

work is apparently made so smooth and easy for the workman, the first

impression is that this all tends to make him a mere automaton, a wooden

man. As the workmen frequently say when they first come under this

system, "Why, I am not allowed to think or move without some one

interfering or doing it for me!" The same criticism and objection,

however, can be raised against all other modern subdivision of labor. It

does not follow, for example, that the modern surgeon is any more narrow

or wooden a man than the early settler of this country. The

frontiersman, however, had to be not only a surgeon, but also an

architect, house-builder, lumberman, farmer, soldier, and doctor, and he

had to settle his law cases with a gun. You would hardly say that the

life of the modern surgeon is any more narrowing, or that he is more of

a wooden man than the frontiersman. The many problems to be met and

solved by the surgeon are just as intricate and difficult and as

developing and broadening in their way as were those of the

frontiersman.

And it should be remembered that the training of the surgeon has been

almost identical in type with the teaching and training which is given

to the workman under scientific management. The surgeon, all through his

early years, is under the closest supervision of more experienced men,

who show him in the minutest way how each element of his work is best

done. They provide him with the finest implements, each one of which has

been the subject of special study and development, and then insist upon

his using each of these implements in the very best way. All of this

teaching, however, in no way narrows him. On the contrary he is quickly

given the very best knowledge of his predecessors; and, provided (as he

is, right from the start) with standard implements and methods which

represent the best knowledge of the world up to date, he is able to use

his own originality and ingenuity to make real additions to the world's

knowledge, instead of reinventing things which are old. In a similar way

the workman who is cooperating with his many teachers under scientific

management has an opportunity to develop which is at least as good as

and generally better than that which he had when the whole problem was

"up to him" and he did his work entirely unaided.

If it were true that the workman would develop into a larger and finer

man without all of this teaching, and without the help of the laws which

have been formulated for doing his particular job, then it would follow

that the young man who now comes to college to have the help of a

teacher in mathematics, physics, chemistry, Latin, Greek, etc., would do

better to study these things unaided and by himself. The only difference

in the two cases is that students come to their teachers, while from the

nature of the work done by the mechanic under scientific management, the

teachers must go to him. What really happens is that, with the aid of

the science which is invariably developed, and through the instructions

from his teachers, each workman of a given intellectual capacity is

enabled to do a much higher, more interesting, and finally more

developing and more profitable kind of work than he was before able to

do. The laborer who before was unable to do anything beyond, perhaps,

shoveling and wheeling dirt from place to place, or carrying the work

from one part of the shop to another, is in many cases taught to do the

more elementary machinist's work, accompanied by the agreeable

surroundings and the interesting variety and higher wages which go with

the machinist's trade. The cheap machinist or helper, who before was

able to run perhaps merely a drill press, is taught to do the more

intricate and higher priced lathe and planer work, while the highly

skilled and more intelligent machinists become functional foremen and

teachers. And so on, right up the line.

It may seem that with scientific management there is not the same

incentive for the workman to use his ingenuity in devising new and

better methods of doing the work, as well as in improving his

implements, that there is with the old type of management. It is true

that with scientific management the workman is not allowed to use

whatever implements and methods he sees fit in the daily practice of his

work. Every encouragement, however, should be given him to suggest

improvements, both in methods and in implements. And whenever a workman

proposes an improvement, it should be the policy of the management to

make a careful analysis of the new method, and if necessary conduct a

series of experiments to determine accurately the relative merit of the

new suggestion and of the old standard. And whenever the new method is

found to be markedly superior to the old, it should be adopted as the

standard for the whole establishment. The workman should be given the

full credit for the improvement, and should be paid a cash premium as a

reward for his ingenuity. In this way the true initiative of the workmen

is better attained under scientific management than under the old

individual plan.

The history of the development of scientific, management up to date,

however, calls for a word of warning. The mechanism of management must

not be mistaken for its essence, or underlying philosophy. Precisely the

same mechanism will in one case produce disastrous results and in

another the most beneficent. The same mechanism which will produce the

finest results when made to serve the underlying principles of

scientific management, will lead to failure and disaster if accompanied

by the wrong spirit in those who are using it. Hundreds of people have

already mistaken the mechanism of this system for its essence. Messrs.

Gantt, Barth and the writer have presented papers to, the American

Society of Mechanical Engineers on the subject of scientific management.

In these papers the mechanism which is used has been described at some

length. As elements of this mechanism may be cited:

Time study, with the implements and methods for properly making it.

Functional or divided foremanship and its superiority to the

old-fashioned single foreman.

The standardization of all tools and implements used in the trades, and

also of the acts or movements of workmen for each class of work.

The desirability of a planning room or department.

The "exception principle" in management.

The use of slide-rules and similar timesaving implements.

Instruction cards for the workman.

The task idea in management, accompanied by a large bonus for the

successful performance of the task.

The Principles of Scientific Management · 第 11 / 12 题