Strategic Assessment: Supply Chain

Here are the primary problem areas SDI has assessed:

Strategic Assessment - Supply Chain

Supply Chain Structure

impact on carrying cost, aging, logistics costs, and customer service
Summary

The simple question: who gets what from where? leads to a broad set of questions of supply chain structure. These could be grouped as follows:

Alternative supply chain structures are often generated by optimization packages. Simulation is then able to assess the dynamic performance of proposed alternatives.

Paper: Combined Use of Optimization and Simulation Technologies to Design and Optimal Logistics Network; Glenn Wegryn, Procter & Gamble; Andy Siprelle, Simulation Dynamics. CLM Conference, 2001

Echelons

Addition or subtracting stages of distribution. A stage of distribution can be defined by a cross docking operation or by a warehouse where product inventory is maintained. In both cases, economies of scale are achieved in shipping. When an inventory is maintained, downstream orders are filled with shorter Lead times, reducing the inventories that have to be maintained downstream.

DIRECT SHIPMENT: Simplifies shipping and handling but requires larger inventories at both ends to support larger shipment amounts and longer order lead times.

Diagram of Direct Shipments from plant to Customer

CROSS DOCKING: Consolidates plant loads allowing more frequent and smaller orders and reducing shipping costs.

Diagram of cross-docking shipments

REGIONAL DISTRIBUTION CENTER: Supports rapid customer order filling, more frequent and smaller orders. Additional inventories may increase inventories overall. Increased handling costs.

Diagram of regional DCs
Product Mix & Sourcing
Product Mix Pros Cons
Segregated
Each product made at only one plant
Longer production runs; simplified scheduling; fewer changeovers; products made at most efficient plants Greater shipping distances; potential misallocation problems. No ability to use alternate plants for periods of demand over capacity
Integrated
Products made regionally at multiple plants
Shorter shipping distances; ability to shift production to alternate plants when regional demand exceeds production Shorter production runs; more production changeovers; more complex production scheduling

Safety Stock Design

safety stock sizing, cycle stock impact, and customer service consideration
Summary

Safety stock protects an inventory against out-of-stocks resulting from variability in demand or supply. Under idealized supply and demand conditions, safety stock levels can be calculated as a function of customer service goals, resupply time and demand variability.

This plot shows safety stock of 2500 units with daily demand forecasted at 1000 units, lead time of 7 days and a case fill goal of 98%. The fact that the inventory level approaches zero several times is an indication that safety stock is properly sized.

Safety Stock Steady
Safety Stock Reduction

There are several strategies for reduction of safety stock. Simulation is a powerful tool for assessing the effectiveness of these alternatives.

Baseline Calculation

Under idealized supply and demand conditions, safety stock levels can be calculated as a function of customer service goals, resupply time and demand variability. This calculation provides a baseline which can be modified to take into account complicating factors.

safety stock units = demand x Std Dev  x  k  x  √ resupply time

Demand: The periodic (daily, weekly, etc) forecasted demand

Std Dev: normalized standard deviation of forecast compared to demand

k: The value of k is the inverse standard normal cumulative distribution for the desired percent orders filled.

Resupply time: Number of periods (days, weeks, etc) to fill resupply orders

Safety stock can be expressed in periods (such as '5 days of safety stock') by dropping the demand variable from the equation.

Complicating Factors

Several factors can require that the basic safety stock equation be modified, or entirely replaced with empirical safety stock sizing.

  1. Impact of Cycle Stock

The basic equation for safety stock assumes that orders will be placed periodically (daily, weekly) to maintain inventory levels at or above the calculated safety stock level. Deliveries to the inventory may be supplemented by cycle stock that results from long production runs at the supplier, or economic order size considerations. This chart illustrates a case where safety stock has been calculated at 66 units. However, the product is ordered in lots of 1000 units. With demand of 100 units per day, orders are placed on a 10 day cycle. Realistically, the inventory could only stock-out on the last day or two of the ordering cycle. Since the 66 unit safety stock is derived from the basic equation, it assumes daily reordering and the possibility of running out on any day. As a result the safety stock is over sized.

Chart of overordering due to cycle stock

If the original safety stock was based on a order fill goal of 99%, a new safety stock level could be roughly calculated based on a goal of 90%, since there is only one out of 10 days on which a stock out could occur.

Note that in this example the order cycle is not a fixed period. If the inventory gets to its order point in 8 days, an order for 1000 units will be placed.

  1. Delivery Delays
PDF for Delivery Delay Time

There are many potential causes of variation in delivery times. For this discussion, we assume causes of delay which can be characterized by a standard deviation. The critical factor in this analysis is not how late any individual shipment is, but rather, how many shipments might be late at any one time. For example, if the probability of 6 shipments being late is within the service performance goal of a node, then safety stock must be provided to cover this possibility.

The critical factor in determining the number of shipments that might be late at any one time is the ratio of the delivery time standard deviation to the order cycle. For example if the standard deviation of the deliver time is 4 days, and orders are placed every two days, then the cycle standard deviation is 2 cycles. The average process duration is not relevant to this calculation. The same cycle standard deviation would result from a process duration standard deviation of 14 days and an order cycle of 7 days.

Once the cycle standard deviation is known, the probability of N shipments being late can be approximated, where N can be any combination of shipments. The table below gives this approximation for values of N from 1 to 10 and cycle standard deviations from 2 to 16. The shaded area indicates numbers of late shipments that must be protected by safety stock.

Table for delivery delay process variability
  1. Fixed reorder cycle

In the case illustrated below, orders are placed every 10 days. Forecasted demand is 100 units per day. The calculated safety stock of 66 units was based on the assumption that orders will be placed every day to cover forecasted demand AND the forecast error of the prior day. As can be seen in the first order cycle below, demand for the period was 1150 units, 150 over forecast. Stock ran out in the middle of the 9th day of the cycle.

Fixed reorder cycle inventory graph

The effect of a fixed order cycle is to add the number of days in the cycle to the reorder time. The amount of stock ordered for each cycle must be sufficient to cover forecast error for the entire time until the next delivery.

  1. Fill rate goal

Safety stock design algorithms are based on specification of order fill rate where total orders are divided into orders filled on time. 'Orders' here refers to line item orders. Modeled supply chain performance can be weighted by order size or value.

Probability of Achieving Goal over 100 Week Period

Life cycle order fill performance may require two levels of analysis. In the example show in the graph, a product has a 100 week life. The customer goal is to have a 95% probability that the fill rate for this product will be at or above 99%. The yellow plot shows that to achieve 99% fill rate 95% of the time, an average performance of 99.7% would be required.

  1. Intermittent demand The challenge presented by intermittent demand is that demand events will occur earlier than average, before stock has arrived to cover it. For this reason substantially increased safety stock is required based on calculations of how many excess demand events will occur during the lead time period. An algorithm has been developed to make this calculation both at customer facing inventories and at nodes which supply customers with varying patterns of demand. The logic is summarized below.
Intermittent Demand

Be ready for the next demand event: At any given time there must be sufficient safety stock on hand to meet the next demand event. This amount can be computed based on the target percent orders filled, the mean demand amount and the normal distribution of the demand event interval.

Cover EXCESS demand events: if a demand event occurs before stock is delivered that was intended to meet it, there will be a missed order unless there is stock on hand to cover that amount. For example, say the mean demand interval is 10 days, and the procurement time for the inventory is 10 days. Nominally, safety stock could be sized to meet a single demand event assuming that the next shipment will be received before the next demand event. But since there is variation in the demand interval, the next demand event might well occur before the 10 day procurement time has elapsed. Therefore, there must be stock to cover two demand events.

Depending on the interval variation, there might be additional demand events during the procurement time. A computation method has been designed to determine the stock required to cover interval variation as a function of lead time, mean interval, and interval variation.

  1. Capacity constraints Safety stock is an inappropriate solution to the problem of periodic capacity constraints. Alternative approaches for dealing with capacity constraints are discussed in this document at Production Capacity.

To the extent that pre-building of reserves for periods of high demand creates additional stock at zero service time inventories, safety stocks can be reduced for the same reasons as discussed under Impact of cycle Stock for customers.

Case Studies

Inventory Deployment

impact on inventory levels, aging, customer service, redeployment
Summary

In many industries, economies of scale dictate that production runs far exceed immediate demand. The resulting cycle stock must be deployed at some stage of the supply chain. The pros and cons of deployment options are a function of production cycle length, forecast variability, redeployment costs, and aging factors.

Papers:

Pros & Cons
Deployment Pros Cons
Upstream Risk pooling: variability of downstream demand is pooled when stock is held upstream. Stock held upstream can be used to fill out partial truck loads. Upstream storage costs may be higher. Higher levels of safety stock may be required downstream.
Downstream Downstream cycle stock will minimize the need for safety stock. Out of stocks can only occur at the end of each production cycle. Downstream storage costs may be lower. Misallocation: cycle stock pushed downstream must be allocated among downstream locations on the basis of forecasts. Stock may have to be redeployed from one downstream location to another.
Case Studies

Postponement

moving production operations downstream, closer to the customer in space and time.
Summary

The goal of postponement is to reduce the supply chain response time to customer orders. This allows substantial reduction of finished product inventories. Typically, many finished products are made from a relatively few basic products. By moving the assembly, packaging or labeling of products downstream, the core inventories downstream can be few basic products, with finished items produced in direct response to local demand.

Postponement can be implemented as a matter of degree along three axes:

Pros & Cons

All forms of postponement have costs and benefits. These often vary by product category. Simulation can provide assessment of the costs and benefits of a wide range of postponement alternatives.

Costs & Degree of Postponement
Example

Production is segmented into four steps:

  1. Make components ("C")
  2. Assemble Components ("A")
  3. Package ("P")
  4. Label ("L")
4 Steps: Make, Assemble, Package, Label

Pushing product steps closer to the customer provides flexibility in responding to unpredictable demand variations. Postponement may be particularly beneficial in products with world wide distribution.

SC Postponement - all ops at plant SC Postponement - Labeling at DC SC Postponement - Packaging and Labeling atDC - Option #4: Assembly packaging & labeling at DC SC Postponement - All Ops at DCs
Case Studies