“Once some engineers from the veneer trust laboratory came to me for consultation with a quite skilful presentation of their problems. Different productivity is obtained for veneer-cutting machines for different types of materials; linked to this the output of production of this group of machines depended, it would seem, on the chance factor of which group of raw materials to which machine was assigned. How could this fact be used rationally?
This question interested me, but nevertheless appeared to be quite particular and elementary, so I did not begin to study it by giving up everything else. I put this question for discussion at a meeting of the mathematics department, where there were such great specialists as Gyunter, Smirnov himself, Kuz’min, and Tartakovskii. Everyone listened but no one proposed a solution; they had already turned to someone earlier in individual order, apparently to Kuz’min. However, this question nevertheless kept me in suspense. This was the year of my marriage, so I was also distracted by this. In the summer or after the vacation concrete, to some extent similar, economic, engineering, and managerial situations started to come into my head, that also required the solving of a maximization problem in the presence of a series of linear constraints.
In the simplest case of one or two variables such problems are easily solved—by going through all the possible extreme points and choosing the best. But, let us say in the veneer trust problem for five machines and eight types of materials such a search would already have required solving about a billion systems of linear equations and it was evident that this was not a realistic method. I constructed particular devices and was probably the first to report on this problem in 1938 at the October scientific session of the Herzen Institute, where in the main a number of problems were posed with some ideas for their solution.
The universality of this class of problems, in conjunction with their difficulty, made me study them seriously and bring in my mathematical knowledge, in particular, some ideas from functional analysis.
What became clear was both the solubility of these problems and the fact that they were widespread, so representatives of industry were invited to a discussion of my report at the university.”

L.V. Kantorovich (1996) Descriptive Theory of Sets and Functions. p. 39; As cited in: K. Aardal, ‎George L. Nemhauser, ‎R. Weismantel (2005) Handbooks in Operations Research and Management Science, p. 15-26

Adopted from Wikiquote. Last update June 3, 2021. History

Help us to complete the source, original and additional information

Do you have more details about the quote "Once some engineers from the veneer trust laboratory came to me for consultation with a quite skilful presentation of t…" by Leonid Kantorovich?
Leonid Kantorovich photo
Leonid Kantorovich 8
Russian mathematician 1912–1986

Related quotes

Antonie Pannekoek photo
Leonid Kantorovich photo

“I discovered that a whole range of problems of the most diverse character relating to the scientific organization of production (questions of the optimum distribution of the work of machines and mechanisms, the minimization of scrap, the best utilization of raw materials and local materials, fuel, transportation, and so on) lead to the formulation of a single group of mathematical problems (extremal problems). These problems are not directly comparable to problems considered in mathematical analysis. It is more correct to say that they are formally similar, and even turn out to be formally very simple, but the process of solving them with which one is faced [i. e., by mathematical analysis] is practically completely unusable, since it requires the solution of tens of thousands or even millions of systems of equations for completion.
I have succeeded in finding a comparatively simple general method of solving this group of problems which is applicable to all the problems I have mentioned, and is sufficiently simple and effective for their solution to be made completely achievable under practical conditions.”

Leonid Kantorovich (1912–1986) Russian mathematician

Kantorovich (1960) "Mathematical Methods of Organizing and Planning Production." Management Science, 6(4):366–422, 1960, p. 368); As cited in: Cockshott, W. Paul. " Mises, Kantorovich and economic computation http://www.dcs.gla.ac.uk/publications/PAPERS/8707/standalonearticle.pdf." (2007).

Ivan Illich photo

“Silence, according to western and eastern tradition alike, is necessary for the emergence of persons. It is taken from us by machines that ape people. We could easily be made increasingly dependent on machines for speaking and for thinking, as we are already dependent on machines for moving.”

Ivan Illich (1926–2002) austrian philosopher and theologist

Silence is a Commons (1982)
Context: The issue which I propose for discussion should therefore be clear: how to counter the encroachment of new, electronic devices and systems upon commons that are more subtle and more intimate to our being than either grassland or roads — commons that are at least as valuable as silence. Silence, according to western and eastern tradition alike, is necessary for the emergence of persons. It is taken from us by machines that ape people. We could easily be made increasingly dependent on machines for speaking and for thinking, as we are already dependent on machines for moving.

Friedrich Bauer photo

“[Software engineering is the] establishment and use of sound engineering principles to obtain economically software that is reliable and works on real machines efficiently.”

Friedrich Bauer (1924–2015) German computer scientist

Bauer (1972) "Software Engineering", In: Information Processing. p. 71

Maurice Wilkes photo
Karl Marx photo

“An organised system of machines, to which motion is communicated by the transmitting mechanism from a central automation, is the most developed form of production by machinery.”

Karl Marx (1818–1883) German philosopher, economist, sociologist, journalist and revolutionary socialist

Vol. I, Ch. 15, Section 1, pg. 416.
(Buch I) (1867)

Yukihiro Matsumoto photo

Related topics