approximation to the normalized amount of individual means protection is required.
The developed program will allow reducing the economic costs associated with
overcurrent (excessive purchases) or losses associated with shortages, idling and
reduced revenues for the services provided by the company [3].
To optimally provide workers with overalls while reducing costs and material
resources, there are selected the following criteria that assess this problem of security,
i.e. the one that can prevent us from solving it or vice versa:
- incidental demand (necessity) of sets of overalls;
- a large number of clothes denominations in each set;
- stocks of overalls sets in warehouses;
- availability of resources (in cash equivalent) for the purchase of overalls;
- costs for the supply of overalls;
- shortage or overconsumption of overalls.
From the tree of goals, we find those that meet the criteria: reducing costs and
material resources (with their definition), providing warehouses with supplies of
clothing, determining the volume of supply.
In order to prevent deficiency in the need for PPE, it is necessary that there should
always be a certain amount of personal protective equipment in the warehouse.
Therefore, internal applications need to be optimized on average, given that the timing
of execution of applications for delivery is also stochastic. The need for daily PPE
provision is a stochastic value, so the need is formalized as an average for a specific
period. The distribution of such random variables is based on the law of distribution of
Poisson probabilities [8].
The result of modeling is the PPE stockpile (units by denomination) that takes
into account the current need for minimizing economic and physical consequences
during storage, operation, overcurrent or its deficit with no harm in material or physical
(human) content.
The mathematical model consists of:
1. variables that characterize the expenses when it is necessary to produce units
of production or to execute an appropriate volume of work performed using PPE (for
a specific period of time - a decade, a month in the indicated units of work performed):
- losses when it is impossible to release PPE stocks, or excessive purchases (B1), -
losses with overspending of funds from different suppliers and resulting from
organizing acquisitions (B2), - losses at the deficit of PPE (risks, fines), injuries,
payment of temporary disability (B3); - time spent on delivery (Q) (time T of PPE
delivery to the warehouse) - stock size (U);
2. demand for PPE: - the average value of demand D (for the period of the day,
the decade), - the time of execution of the order, the average (L);
3. management: О - the volume of one-time delivery, in the program (E); M - the
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