BMU2

We have the conveyor with $10\le M \le 100$ stations for hand selection of products items to boxes. The volune of box is $V_b=0,034$.

List of sku is in SKU.xlsx file.

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 $N_m$.

The structure of store is in ZONES+positions.xlsx file

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.

$$G(sku,qty, zone, position)=3600/Productivity+comfort+scan*T_sc$$

$T_sc=3$ - scanning time.

For comfort we will use the listed times:

AA 5 AB 10 AC 11,25 BA 12,5 BC 15 CA 17,5 CC 20 Д 22,5 ST 50 OБ 150

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.