Abstract
Content
- Introduction
- 1. Goal and tasks of the research, the practical relevance and scientific novelty
- 2. Development of a mathematical model output at the lower levels of production management
- Conclusion
- References
Introduction
Leadership in the industrial sectors is impossible without a clear vision and leadership of the analysis of processes occurring at a manufacturing plant, in the present day. An effective system of control output at the plant is a new step to victory in the fierce competitive struggle, and has won the opportunity to consolidate its market position.
Particularly acute in Ukrainian enterprises (for various reasons) is the problem of system output control automation at the plant. Lack of advanced automated systems in this segment of the control significantly affects the performance of such companies as liquidity, profitability, turnover of inventory, as well as time–consuming due to the large volume of information processed.
In this regard, relevant issues are related to the development of new, more efficient structures and algorithms to control the release of products in the enterprise.
1. Goal and tasks of the research, the practical relevance and scientific novelty
Goal of this work is to develop structures and algorithms for control system output at the plant that will improve production efficiency through optimization of the equipment and minimize the time for changeover of equipment for producing various kinds of products.
To achieve this goal it is necessary to solve the following tasks:
a) to identify levels of release management products in the enterprise;
b) to formalize the variables involved in the process of release management products;
c) to make drafting tasks for each level of management;
d) to identify methods for solving each level of management;
e) to obtain a numerical solution of problems for each level of management;
f) to develop an overall management structure of release products in the enterprise;
g) to develop algorithms for control subsystems.
The practical significance of the work is cost-saving resources.
Scientific novelty of the work consists in the synthesis of the structure of the dynamic mathematical model that predicts the main features of the process of production, taking into account time for readjustment of the equipment in the shop.
2. Development of a mathematical model output at the lower levels of production management
In the modern enterprises of both technological and economic systems are five to seven levels of the organization of production [1]. At the upper levels are resolved outside the planning problem, solutions which are determined by relationships with external organizations. Distribution of program production, taking account of the upper–level indicators of the final products of the company as a whole for the entire planning period, quarter, month, decade, week, day, is at the mid levels. At the lower levels are implemented in the current scheduling and management, including the definition of the plan of each production site in the short shift, carried out functional planning and management of the intensity of technological operations within each production site.
To determine the sequence of output of different types in each production area, we carry out the formalization of the input and output variables.
The input variables of the model are the orders for the manufacture of products in the plan period:
where n — the number of orders;
zj — j‑th job order.
Output variables of the model are the job sites on output in the next period in a specific sequence:
where A={ai} — set of products in the planning period;
V=(v1,v2,...,vi,...,vm) — vector of priorities;
vi — order of output of i‑th type, 
.
Control problem is formally has the form:
where T — the total changeover time.
This problem can be formulated as follows: to find a continuous path of minimal length, connecting all the vertices of the graph, starting with the one on which the issue was over the previous plan period.
The problem is the traveling salesman problem without returning to the starting point. To solve the above problem the branch and bound, genetic algorithms or ant colony algorithm can be used.
The input variables for the problem of the lower level are the output variables of the previous problem:
where vector (ai,vi) describes the scope and procedure of production of i‑th species.
The output variables are the modes of operation of the equipment R(O3r) and costs С resources for manufactured products:
The task of controlling the intensity of manufacturing operations is to identify the modes of R(O3r) r‑th equipment so that production costs of the planned production was minimal, provided that the plan is executed in time:
To solve this problem, a simulation model of production at the site (for example, among the GPSS) is being developed, which allows to calculate the total cost of resources and production time depending on the mode of operation of the equipment. Total costs are determined by changes in modes of operation of the equipment with the help of directed inspection.
Conclusion
Master's work is devoted to actual scientific problem of developing mathematical tools to automate the release management system products to the enterprise. As part of studies were carried out:
a) the relevance of the chosen theme, aims and objectives of the study, the practical relevance and scientific novelty of the work are identified;
b) an analysis of the literature already available on the results of such studies, both at the national level and in the world;
c) production output levels of management in the enterprise are allocated;
d) input and output of the lower levels of release management products in the enterprise are formalized;
e) objectives of lower levels of management are staged;
f) the methods for solving problems of the lower levels of management are selected.
Further studies focused on the following aspects:
a) obtaining a numerical solution of problems for each level of management;
b) development of a common management structure of production output at the plant;
c) the development of algorithms to control subsystems.
In writing this essay master's work is not yet complete. Final completion: January 2013. The full text of the work and materials on the topic can be obtained from the author or his supervisor after that date.