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Monday, February 6, 2012

INVENTORY OPTIMISATION BASED ON DESIRED SERVICE LEVEL


In case of any questions please contact me - Olga Nazarenko- by mail olga.nazarenko@ukr.net

Optimizing Safety Stock levels by calculating the magical balance of minimal inventory while meeting volatile customer demand is one of the biggest challenges of inventory management. Many companies look at their own demand fluctuations and assume that there is not enough consistency to predict future variability.  Then they fall back on the trial-and-error best guess weeks supply method or the over simplified 1/2 lead time usage method to manage their safety stock.  Unfortunately, these methods prove to be less than effective in determining optimal inventory levels for many operations.  If the goal is to reduce inventory levels while maintaining or increasing service level, one will need to investigate more complex calculations.
One of the most widely accepted methods of calculating safety stock uses the statistical model of Standard Deviations of a Normal Distribution of numbers to determine probability. This statistical tool has proven to be very effective in determining optimal safety stock levels in a variety of environments.  The basis for this calculation is standardized; however, its successful implementation generally requires customization of the formula and inputs to meet specific characteristics of operation [1, p.157]. 
Prioritization of products plays key role in inventory management. Commonly used method is ABC analysis. It helps to split assortment of the company into 3 groups: A-products that make 80% of company income, B-products – 15% of company income, C-products – 5% of company income. This classification enables clear comprehension about what products are more important and what products are less important for a company.
Based on ABC analysis, management decides on desired service level for each group. Parameter, which helps to express service level in safety stock, is called service factor. It is used as a multiplier with the standard deviation of demand to calculate a specific quantity to meet the specified service level. It could be calculated with use of Excel function NORMSINV [4, p.1]. Table 1 presents a relevant example.
Service Level
Service Factor

Service Level
Service Factor
50,00%
0,00

90,00%
1,28
55,00%
0,13

91,00%
1,34
60,00%
0,25

92,00%
1,41
65,00%
0,39

93,00%
1,48
70,00%
0,52

94,00%
1,55
75,00%
0,67

95,00%
1,64
80,00%
0,84

96,00%
1,75
81,00%
0,88

97,00%
1,88
82,00%
0,92

98,00%
2,05
83,00%
0,95

99,00%
2,33
84,00%
0,99

99,50%
2,58
85,00%
1,04

99,60%
2,65
86,00%
1,08

99,70%
2,75
87,00%
1,13

99,80%
2,88
88,00%
1,17

99,90%
3,09
89,00%
1,23

99,99%
3,72
Table 1 Calculated Service Factor Based on Desired Service Level

Now we can assess efficiency of product prioritization using ABC analysis for the examples given below. Common assumptions for the both cases are [2, p.54]:
1.     Lead time – 90 days  (2,73 month)
2.     Order frequency – biweekly (0,5 month)
3.     Safety factor for A products – 99%, B – 98%, C – 90%.
First, we calculate inventory level in USD in the 4 quarters with assumption that all of the products have equal importance and need 99% service level (see Figure 1).

Fig. 1

You may find inventory level calculation with ABC products classification based on their importance in Figure 2.

Fig. 2

Analysis of the abovementioned examples shows that using ABC products classification gives average 5% cost effectiveness compared to non-prioritized inventory management (Figure 3).

Fig. 3

This abstract aimed to describe efficiency of usage of ABC analysis in inventory management. It is worth noting that this method should be used as volume and value segmentation on ABC groups. However, splitting products by their volatility to maintain safety stocks stays the most powerful approach and ABC segmentation makes extra saving by means of decreasing stock on hand.

Literature
1. Max Müller, Essentials of inventory management, AMACOM Div American Mgmt Assn, 2003 – p. 243
2. David J. Piasecki, Inventory Accuracy: People, Processes, & Technology, Ops Publishing, 2003, p. 352 ISBN: 0-9727631-0-4
3. Stephen C. Graves, Sean P. Willems, Optimizing Strategic Safety Stock Placement in Supply Chain, Manufacturing & Service Operations Management, Vol. 2, No. 1, Winter 2000, pp. 68–83

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