warehouse and picking parameters picker routing time and distance calculation
Aisle length (m) i
Centre distance between aisles (m) i
Number of aisles/picker i
Number of cross aisles i
Width of cross aisles (m) i
Depot location i
Average speed inside aisles (m/s) i
Average speed outside aisles (m/s) i
Additional time to change aisles (s) i
Storage strategy i
Size of zones i
A(%) B(%)
Percentage of picks i
A(%) B(%)
Average number of lines/order i
Administration time/order(s) i
Time to pick a line (s) i
Routing strategy i
S-shape heuristic
Largest Gap heuristic
Combined heuristic
Optimal heuristic
Number of simulations i
loading
Average travel time (s)
S-shape
Largest Gap
Combined heuristic
Optimal method
Average total order pick time (s)
S-shape
Largest Gap
Combined heuristic
Optimal method
Standard Deviation
S-shape
Largest Gap
Combined heuristic
Optimal method

Input values
Aisle length
Centre distance
Aisles
Cross aisles
Width cross aisle
Depot location
Speed inside
Speed outside
Aisle change time
Storage strategy
Zones
Percentage picks
Lines per order
Administration time
Pick time per line
Number of simulations
         

Information
The aisle length is the distance between the front end and the rear end of one aisle in the warehouse, this does not include the width of the (potential) cross aisle(s).
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This is the distance between the centre of one aisle and the centre of the next aisle. The total width of the warehouse is the number of aisles multiplied by the centre distance between aisles.
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The number of aisles is the number of aisles, in which one picker collects items. This means that this picker is allowed to pick anywhere in these aisles.
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A cross aisle is an aisle which is perpendicular to the storage aisles in which the items can be picked (the pick aisle). Its main function is to enable aisle changing. A cross aisle crosses the pick aisles.
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The width of a cross aisle is the distance of the interruption of the pick aisles, thus the distance between the left side and the right side of the cross aisle.
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The depot location is the point in the warehouse where the pickers start and end their routes (a path in which all items are retrieved) through the warehouse. The depot is visited to receive the pick list, pick up an empty pick device, to drop off the collected orders and/or to continue the pick. The depot can be situated at the left side, the right side or in the middle of the front end of the warehouse.
The average speed inside and/or outside the aisles is the velocity at which the orderpicking vehicle travels on average, this includes accelerating, decelerating and stopping. Of course, this speed depends on the material handling equipment you are using in your warehouse. There will not be very large differences between the speed inside or outside the aisles, but if the trucks in a narrow aisle warehouse are guided by rails, the speed inside the aisles will be higher than the speed outside the aisles.
The average speed inside and/or outside the aisles is the velocity at which the orderpicking vehicle travels on average, this includes accelerating, decelerating and stopping. Of course, this speed depends on the material handling equipment you are using in your warehouse. There will not be very large differences between the speed inside or outside the aisles, but if the trucks in a narrow aisle warehouse are guided by rails, the speed inside the aisles will be higher than the speed outside the aisles.
The additional time to change aisles is the time needed to go from one aisle to another on top of the normal travel time it takes to cover the distance. If the distance between two aisles is 10 metre and the speed outside the aisles is 1 m/s, then it would take about 10 seconds to leave the first aisle and enter the next. If it takes 20 seconds to change aisles actually, then the additional time to change aisles is 10 seconds. Especially in narrow aisle warehouses this additional time may occur due to the truck backing in and out the aisle. It may be as much as half a minute. In the other types of warehouses, the aisles are rather wide and the trucks are easier to manoeuvre, so that the time needed to change aisles will be roughly equal to the normal time (outside the aisles) to cover such a distance. In a narrow aisle pallet warehouse the default additional time is 10 seconds per aisle change.
The storage strategy is a strategy by which you determine where to store your products. If using a random storage strategy, products are stored at an arbitrary empty location, while the ABC storage strategy uses categories (A, B and C) in which the products are grouped on the basis of their turnover rates. These categories each have their own section in the warehouse. The A-category is situated near to the depot and exists of products, representing only a small part of the assortment, but a large part of the picks. Whereas the C-category exists of products, representing a large part of the assortment, but only a small part of the picks. In this way the most wanted (and thus most picked) items are situated as near as possible to the depot which leads to the shortest picking route. If you use an ABC storage strategy, you have to choose between one of the two options for the layout of the ABC-classification, which can look like this: opslb ABC-1 opslaa ABC-2 ABC-1 will automatically be mirrored if the depot is at the right end of the warehouse, or symetrically grouped around the center if the depot is in the middle.
For each of the chosen ABC layout types, the relative size of the different storage zones has to be indicated as a percentage of the size of the whole warehouse. Only the percentages of category A and B have to be filled in, because C is the result of 100 minus A minus B. In layout ABC-1 it is automatically assumed that there is at least 1 full A-aisle or 1 full B-aisle if their category percentage is greater than 0. When choosing the size of the zones, the minimum for the A and B zone is 1 %. If the percentage not results in a whole aisle, than a rounding has to be completed: when a warehouse consists of 10 aisles en the A-zone is 14 %, than the number of A-aisles will be 2 in 40 % of the simulationruns and 1 in the other 60 % of the runs.
The percentage of picks per turnover category (A, B or C) is the percentage of the number of picks per category compared with the total number of picks. When category A accounts for 1100 picks a day, while the total number of picks (those from category A, B and C) is 1650, then the percentage of picks will be 66,7 %. The percentages for A, B and C will sum to 100 %. Only the percentages of category A and B have to be filled in, because C is the result of 100 minus A minus B.
The average number of lines per order is the number of lines per day divided by the total number of orders per day.
The administration time per order consists of collecting or depositing a pick device, obtaining or confirming a pick list, etc. When the administration time per order is known and the time to pick an order, then the total time to collect all items per order can be calculated. This also enables it to make a realistic calculation of total savings per day.
The time to pick a line is the average time, needed to pick one line. This is the time it takes to retrieve the items from a pick location to the pick device, which is already located in front of the pick location. In practice, this time will be equal to the time an orderpicking truck is located in front of the pick location from the moment the truck stops until the route is continued.
The routing strategy only includes double sided picking strategies. Single sided picking is in general outperformed by double sided(Goetschalckx and Ratliff, 1998a) The routing strategy determines the sequence in which the pick locations are visited. The efficiency of a routing strategy depends on the order profile, the storage strategy and the lay-out of the warehouse. It is possible to select more than one routing strategy. The routing strategies, used here are:
In each run a random instance of the warehouse is generated in which the pick locations are randomly distributed over the warehouse. The picking route is calculated. In the final results the results are averaged over the simulation runs.