Branch of applied mathematics that studies methods for solving complicated equations using arithmetic operations, often so complex that they require a computer, to approximate the processes of analysis (i.e., calculus). The arithmetic model for such an approximation is called an algorithm, the set of procedures the computer executes is called a program, and the commands that carry out the procedures are called code. An example is an algorithm for deriving π by calculating the perimeter of a regular polygon as its number of sides becomes very large. Numerical analysis is concerned not just with the numerical result of such a process but with determining whether the error at any stage is within acceptable bounds.
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The basic MTM data was developed by HB Maynard, JL Schwab and GJ Stegemerten of the Methods Engineering Council during a consultancy assignment at the Westinghouse Brake and Signal Corporation, USA in the 1940s. This data and the application rules for the MTM system were refined, extended, defined, industrially tested and documented as a result of further work in later years.
In 1948, Maynard, Stegemerten and Schwab published the book “Methods-Time Measurement” giving full details of the development of the MTM system and its application rules. The use of MTM spread, firstly in the USA and then to other industrialised countries. In 1951 the USA / Canada MTM Association for Standards and Research was formed by MTM Users. The system originators then assigned the MTM copyrights to the MTM Association.
Other national MTM Associations were founded and, at a meeting in Paris in 1957, it was decided to form an International MTM Directorate (IMD) to co-ordinate the work of National Associations. National MTM Association members of IMD now hold the MTM copyrights for their territorial areas.
Other MTM based systems have since been developed. MTM-2, a second generation system was developed under IMD auspices in 1965; MTM–3, a further simplification, was developed in 1970. The original MTM system is now commonly referred to as MTM-1. Other systems based on MTM have been developed for particular work areas by National Associations.
Films were taken using constant speed cameras, running at 16 frames per second, of the work performed by qualified workers on the shop floor at the Westinghouse Brake and Signal Corporation. Each sequence was rated during filming by three qualified Industrial Engineers. These ratings had to agree within a close band, otherwise the sequence was not used.
The rating, or Levelling, system used was the Westinghouse or LMS system – so called after its originators Lowry, Maynard and Stegemerten. This system considers four factors independently:
Each factor is assigned an alpha rating, e.g. “B-“, “C+”, “A”, etc. which has a numeric value which is applied later. This reduces the possibility of “clock rating” and ensures that all factors are considered in the composite rating. Appendix 1 shows the model for Causes of Difference in Output on which the LMS system is based.
The films were then projected frame-by-frame and analysed and classified in to a predetermined format of Basic Motions. These Basic Motions were Reach, Grasp, Move, Position, Release, etc. A motion was taken to begin on the frame in which the hand first started performing the motion and was taken to end on the frame in which the motion was completed. This allowed a time for each recorded motion to be calculated in seconds, by means of a frame count, and then “levelled” to a common performance.
Plots of the levelled times for the various motions were drawn. Analysis determined the best definitions of limits of motions and their major, time-determining variables, and resulted in, more or less, the structure which the manual motions of MTM-1 have today. Later work, using Time Study, gave the table of Body Motions.
In 1949, Cornell University conducted an independent study of MTM for the American Society of Mechanical Engineers. It used camera speeds of 64fps. The MTM data was replicated within very close limits. Minor discrepancies revealed by the faster camera speeds have since been corrected in the MTM-1 data.
Detailed research conducted under the auspices of the USA / Canada MTM Association have resulted in minor changes to the data and the application rules and in a greater understanding of the nature of the motions. The last change was made to the detail of the Apply Pressure data in 1973.
MTM is complementary to other Industrial Engineering charting analytical techniques; it does not replace them. It should be used after broader techniques have established the Necessity and Purpose, Place, Sequence, Person and Means of the tasks to be evaluated.