BMU2

We have the conveyor with $10\le M \le 100$ stations for hand selection of products items to boxes.

Each box moves from the beginning to the end of conveyor throu the set of stations $Z=\{z_1, z_2 dots, z_M\}$.

Each station works with zone, including the set of positions $N_m$.

Each position is for one type of goods.

The $sku$ coluld be assignned with position only if position is empty.

The hand selection time for row is the functon of SKU, position number and quantity of items per row.

$$G(sku,qty, zone, position)$$

and is tabulated in our case.

Each zone has $N_z$ positions. We will assume that each position coukd be loaded from store any time we need in.

The source data is the set of rows per day:

    sku - good type
    qty - quantity
    datetime - dte and time     
    order - номер заказа 

Box moves with $v=0.6m/s$ from one section to another.

The distance between the stations is $a=8m$.

We should propose the input goods flow routing to zones and positions to minimize the time $T$ for daily hand selection.

It is necessary to estimate the mean and variance.

The model should be described in latex as an instruction and description.