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forecasting
vital function, affects every significant management decision
ex: new product planning, personnel compensation, select suppliers
tactical forecasts
day to day decisions
decoupling point
point at which some form of inventory is stored that allows supply chain partners/entities to operate independently: strategic
influenced by error in forecast and type of product (easily inventoried or perishable)
four types of forecasting
time series analysis: relies on future being similar to the past
qualitative
causal
simulation
components of demand
average demand for a period of time, trend, seasonal element, cyclical elements, random variation, autocorrelation
short, medium and long term
short term- forecasting less than three months
medium term-forecasting 3 months-2years
long term- forecasting greater than two years
Forecasting model selection
depends on:
time horizon to be forecast
data availability
accuracy required
size of forecasting budget
availability of qualified personnel
simple moving average (forecast method)
average of a fixed number of past periods
6-12 months, weekly data often used: stationary, short horizon
formula: Ft = (At-1 +At-2 +…At-n)/ n
variable meanings in simple moving average equation
Ft : forecast for period t
n- number of periods to be averaged
At-1: actual occurrence in past period
At-2: actual occurrence two periods ago
Weighted moving average forecast method
allows unequal weighting of prior time periods, 5-10 observations needed to start
selecting weights: experience and trial and error are best ways, recent past is often best indicator, weights should reflect if data is seasonal or cyclical
Exponential Smoothing
5-10 observations needed to start
weighted average method that includes all past data in the forecasting calculation
more recent results weighted more heavily, most used of all techniques
well accepted because: 1. surprisingly accurate 2. easy 3. user can understand 4.little computation required 5. small computer storage requirements 6. tests for accuracy are easy to compute
Exponential Smoothing Model
Ft = Ft-1 + a(At-1 -Ft-1 )
a: adjustment (smoothing constant): correcting trend somewhat, trend in data causes exponential forecast to always lag the actual data
Exponential Smoothing with Trend
FITt = Ft +Tt
Ft : exponentially smoothed forecast that does not include trend for period t
Tt : exponentially smoothed trend for period t
FITt : forecast including trend for period t
alpha and delta
relatively small values, usually in the range 0.1-0.3
-smoothing constant for random variation and smoothing constant for trend
alpha depends on how much random variation is present, delta depends on how steady the trend is
Linear regression analysis
regression is used to identify the functional relationship between two correlated variables, usually from observed data
assumes the relationship can be explained with a straight line
Y= a +bt
Least Squares Method
determines parameters a and b such that the sum of the squared errors is minimized- “least squares”
Time Series Decomposition
-chronologically ordered data referred to as a time series
time series may contain one or many elements: trend, seasonal, cyclical, autocorrelation, and random
-identifying these elements and separating the time series data into these components is known as decomposition
Seasonal Variation
-may be either additive or multiplicative
seasonal factor (or index) is the ratio of the amount sold during each season divided by the average for all seasons
Decomposition steps
1: determine seasonal factor
2: deseasonalize original data
3: develop a least squares regression line for the deseasonalized data
4: project the regression line through the period to be forecast
5: create final forecast by adjusting the regression line by the seasonal factor
forecast errors
difference between the forecast value and what actually occurred
sources of error: bias (when a consistent mistake is made) random (errors not explained by model being used)
Measures of error: mean absolute deviation: (MAD) mean absolute percent error (MAPE) and tracking signal
forecast error measurements
MAD: ideally zero, means no forecasting error
MAPE: scales the forecast error to the magnitude of demand
MAPE: = MAD/Average demand
Tracking signal: indicates whether forecast errors are accumulating over time (either positive or negative errors)
causal relationship forecasting
uses independent variables other than time to predict future demand-independent variable is a leading indicator
-many apparently causal relationships are merely correlated events
qualitative forecasting
generally used to take advantage of expert knowledge
useful when judgement is required, when products are new, or if the firm has little experience in a new market
ex: market research, panel consensus, historical analogy, delphi method
Collaborative Planning, Forecasting and Replenishment
web-based process used to coordinate the efforts of a supply chain
integrates all members of a supply chain-manufacturers, distributors, and retailers
depends upon the exchange of internal info to provide a more reliable view of demand
CPFR steps
creation of a front end partnership agreement—- joint business planning—-development of demand forecasts—-sharing forecasts—-inventory replenishment
inventory concept
money-on forklifts, shelves, trucks, ships, planes
for many the largest asset on the balance sheet at any given time, can be difficult tho to convert back into cash (liquidity)
good idea to get inventory down as much as possible
inventory models
single period model: used when we are making a one-time purchase of an item
fixed order quantity model: used when we want to maintain an item “in-stock”, and when we restock, certain number of units must be ordered
fixed-time period model: item is ordered at certain intervals of time
inventory definition
the stock of any item or resource used in an org
includes raw materials, finished products, component parts, supplies, and work-in-process
manufacturing inventory
refers to items that contribute to or become part of a firm’s product
inventory system
set of policies and controls that monitor levels of inventory: determines what levels should be maintained, when stock should be replenished, and how large orders should be
inventory costs
holding/carrying costs: costs for storage, handling, insurance
setup (production change) costs: costs for arranging specific equipment setups
ordering costs: costs of placing an order
shortage costs: costs of running out, usually called “stockout”
Demand types
Independent demand: the demands of various items are unrelated to each other
dependent demand: need for any one item is a direct result of the need for some other item (car needs wheel and tires)
types of inventory systems
single-period inventory model: one-time purchasing decision, seeks to balance costs of inventory overstock and understock
multi-period inventory models: 1. fixed-order quantity models, even triggered (running low on stock), 2. fixed time-period models- time-triggered (monthly sales call by sales representative)
stocking level equation
x=u + zo
Known probabilities version
uses a discrete probability distribution
found using data, requires marginal analysis using probabilities
fixed-order quantity model synonyms
also called the economic order quantity, EOQ, and Q-model
event triggered
fixed-time period models
-also called the periodic system, periodic review system, fixed-order interval system, and P-model
time triggered
Economic Order Quantity (EOQ)
Qopt : occurs where total costs are at their minimum
TC: total cost
Q/2H: holding cost
DC: annual cost of items
D/Q S: ordering cost\
safety stock
refers to the amount of inventory carried in addition to expected demand- common approach is to keep a certain number of weeks of supply, better approach is to use probability
-assume demand is normally distributed, assume we know mean and standard deviation
fixed time period model variables
q: quantity to be ordered
T: number of days between reviews
L: lead time in days
d: forecast average daily demand
z: number of standard deviations required for specified service level
oT+L : standard deviation of demand during review and lead time
I: current inventory level (including items on order)
inventory turns
number of times inventory is cycled through over time- a measure of how efficiently inventory is used
inventory models with price breaks
-price varies with the order size: to find the lowest cost, calculate the order quantity for each price and see if quantity is feasible
sort prices from lowest to highest and calculate order quantity for each price until a feasible order quantity is found
if first feasible order quantity is lowest price, this is best we can do
otherwise calculate total cost for the first feasible quantity and calculate total cost at each price lower than first feasible order quantity
ABC classification
shows that a small amount of items account for a large dollar volume and large number accounts for small dollar volume
A: top 15% of items
B: next 35%
C: last 50%
inventory accuracy and cycle counting
inventory accuracy: refers to how well the inventory records agree with physical count
cycle counting: a physical inventory-taking technique in which inventory is counted on a frequent basis rather than once or twice a year
logistics definition
the art and science of obtaining, producing, and distributing materials and products in the proper place and in the proper quantities
international: managing these on a global scale
3rd party logistics company
an outside company used to manage all or part of another company’s logistics functions
logistic decision: transportation
truck: great flexibility
ship: high capacity, low cost but slow
plane: fast, expensive, least flexible
train: low cost but slow and variable
pipeline: cheapest, highly specialized and limited to liquids, gases and solids in slurry form
hand delivery: last step in many supply chains
(multimodal solutions are normal)
Warehouse activities
cross docking: large shipments are broken down into small shipments for local delivery in an area, minimizes inventory in the warehouse
Hub-and-spoke system: maintaining as little inventory as possible, sole purpose of warehouse (the hub) is sorting goods to consolidation areas, where each area is designed for shipment to specific location
Facility location issues
proximity to customers: makes rapid delivery easier
business climate: can include presence of similar-sized businesses, businesses in the same industry, and other foreign companies
total costs
infrastructure: adequate road, rail air and sea transportation along with energy and telecommunications
quality of labor: educational and skill levels must match needs
suppliers: proximity of important suppliers supports lean production
other facilities
free trade zones: a closed facility into which foreign goods can be brought without being subject to normal customer requirements
political risk
government barriers
trading blocs: firms locate within a block to take advantage of new markets or lower total cost
environmental regulation:
host community: and their interest
competitive advantage
plant location methods
factor-rating systems
transportation method of linear programming
centroid method
factor-rating system
-most widely used method
list of factors is developed
range of possible points is assigned to each factor
each site is rated against each factor
sums of assigned points for each site are computed
site with most points is selected
transportation method
special linear programming method
seeks to minimize costs of shipping n units to m destinations, or it seeks to maximize profit of shipping n units to m destinations
centroid method
used for locating single facilities that considers existing facilities, the distances between them, and the volumes of goods to be shipped between them