Consequences of the law of synchronization of cycles of technological operations
Corollary 1. The single rhythm of manufacturing parts lots (Re) connects the main characteristics of the production process: the specific work execution period or planning period, which, as a rule, corresponds to the monthly regime fund of the site ( F mec); number of items in the order or in the program ( n '); average employment of workplaces of a site by performing one operation of an order or a program of the considered planning period (t):
where R e - the single optimal rhythm of manufacturing parts lots in the production unit under consideration, h; C m - the number of jobs on the last t -th operation of the technological route (process), units; F meec - monthly regime fund of the enterprise, h; t pcs - the average unit-time norm for performing one operation on the details specified by the program for the planned period, min; ̅ n is the approximate (average) lot size of parts, recommended for the planned period, pcs; К пZ - factor, taking into account the preparatory-final time for performing operations; К в - average coefficient of performance of norms on the site; 60 - conversion factor of minutes per hours.
Corollary 2. The estimated size of the batch of i-x parts, established in accordance with the nomenclature and the production program terms, is subject to the single optimal rhythm for manufacturing parts lots in the production unit under consideration:
where n i is the estimated size of the i batch of parts, established in accordance with the single optimal rhythm of manufacturing parts lots on the site; - the average employment of work sites of the site by performing one operation on one i-th part in the considered planning period ( t pcs/ m (j); tштi - the planned unit time norm for the production of the i-th part, h; К Zо - average factor of fastening of operations for one workplace on a production site; m j - the number of technological operations of the i -th part.
The normative batch size of the parts is determined by the calculated one, which is reduced to the normative series of the periodicity of the launch (Table 4.4).
Table 4.4. A number of unified periodicity of launching parts in production
Launch frequency, days |
The size of the regulatory lot n n, pcs. |
Launch frequency, days |
The size of the regulatory lot n n, pcs. |
Launch frequency, days |
The size of the regulatory lot n n, pcs. |
1 |
N/264 |
22/4 |
N/48 |
44 |
N/6 |
2 |
N/132 |
22/3 |
N/ 36 |
66 |
N/4 |
3 |
N/88 |
11 |
N/24 |
88 |
N/3 |
4 |
N/66 |
22 |
N/12 |
132 |
N/2 |
22/5 |
N/60 |
33 |
N/8 |
264 |
N/1 |
Corollary 3. The organization of the production process in accordance with a single optimal rhythm of manufacturing batches of parts ensures a minimum order of objects of labor and the minimum aggregate production cycle of the set of parts in question:
where i is the serial number of the part in the route set, i = 1, ..., n '; R i - the calendar limit of the alignment of operations as a result of the organization of the continuous movement of labor items in production; R i = T MKD ( m + 1), h; R j - the calendar limit of the alignment of operations as a result of the organization of continuous loading of workplaces in production; R j = T MKD ( n ' + 1), h; n ' - the number of nomenclature positions in the program; - the total time of the interoperational care of the parts; t мoi - the time of the interoperability of the i -th detail before all its operations and after the last (in the waiting of the bundle).
Corollary 4. If in a certain planning period it is ensured the organization of continuous loading of work places of the production unit, then the calendar limit for equalizing the durations of all technological operations (Rj) is equal to the average technological duration of one operation (tj) in the planned period.
Synchronization of parts manufacturing cycles
The calendar synchronization of the parts manufacturing cycles has the following character. If the parts have the same number of operations, then their cycles are aligned due to the alignment of the durations of their operations. Details in production units are usually produced in sets, which means that the duration of the production cycle of each part of the kit is equal to the length of the manufacturing cycle of the set of parts in question.
Synchronization of the durations of completing operations of the process of manufacturing sets of parts
Before many production process planners, the question often arises: "What kind of workplace front of a site should be allocated for the execution of work on a particular product (order)?"
The problem, as a rule, is complicated by the fact that simultaneously you need to work on many orders. It turns out that the synchronization law also saves us here: we need to achieve synchronization of complementary operations and then the cycle times for manufacturing sets of parts are automatically shortened.
Let's take a look at simple examples of the interconnection of complex operations (Figure 4.1).
From Fig. 4.1 it is obvious that in the case of synchronization disruptions in the duration of the complement operations, the aggregate cycle lengthens. In case (b), the extension of the second complement operation is 50 units, and in case (c) the length of the second complement is reduced by 50 units. gives the same result - lengthening the cumulative cycle by 50 units.
Fig. 4.1. Illustration of the synchronization of the lengths of complements:
- the duration of the complementary operations;
and
- advances
between complement operations; T q is the cumulative cycle for manufacturing the parts set on three process operations
thematic pictures
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