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MODULE 2
DESIGNING THE DISTRIBUTION NETWORK IN A
SUPPLY CHAIN
April 14, 2023 2
THE ROLE OF DISTRIBUTIONIN THE SUPPLY CHAIN
• Distribution: the steps taken to move and store a product from the supplier stage to the customer stage in a supply chain
• Distribution directly affects cost and the customer experience and therefore drives profitability
• Choice of distribution network can achieve supply chain objectives from low cost to high responsiveness
• Examples: Wal-Mart, Dell, Proctor & Gamble
April 14, 2023 3
FACTORS INFLUENCINGDISTRIBUTION NETWORK DESIGN
• Distribution network performance evaluated along two dimensions at the highest level:
• Customer needs that are met
• Cost of meeting customer needs
• Distribution network design options must therefore be compared according to their impact on customer service and the cost to provide this level of service
April 14, 2023 4
FACTORS INFLUENCINGDISTRIBUTION NETWORK DESIGN
• Elements of customer service influenced by network structure:
• Response time
• Product variety
• Product availability
• Customer experience
• Order visibility
• Returnability
• Supply chain costs affected by network structure:
• Inventories
• Transportation
• Facilities and handling
• Information
April 14, 2023 5
SERVICE AND NUMBER OF FACILITIES
Number of Facilities
Response Time
April 14, 2023 6
IMPLICATIONS:
• Increasing the number of facilities moves them closer to the end consumer.
• This reduces the response time. As Amazon has built warehouses, the average time from the warehouse to the end consumer has decreased.
• McMaster-Carr provides 1-2 day coverage of most of the U.S from 6 facilities.
• W.W. Grainger is able to increase coverage to same day delivery using about 370 facilities.
April 14, 2023 7
INVENTORY COSTS AND NUMBEROF FACILITIES
Inventory Costs
Number of facilities
Inventory costs increase, facility costs increase, and transportation costs decrease as we increase the number of facilities.
April 14, 2023 8
TRANSPORTATION COSTS AND NUMBER OF FACILITIES
TransportationCosts
Number of facilities
Inventory costs increase, facility costs increase, and transportation costs decrease as we increase the number of facilities.
April 14, 2023 9
FACILITY COSTS AND NUMBEROF FACILITIES
FacilityCosts
Number of facilities
Inventory costs increase, facility costs increase, and transportation costs decrease as we increase the number of facilities.
April 14, 2023 10
Transportation
Tota
l C
osts
Number of Facilities
Inventory
Facilities
Total Costs
TOTAL COSTS RELATED TO NUMBER OF FACILITIES
April 14, 2023 11
IMPLICATIONS
• Total costs decrease and then increase as we increase the number of facilities.
• The responsiveness improves as we increase the number of facilities.
• A supply chain should always operate above the lowest cost point.
• Operating beyond that point makes sense if the revenue generated from better responsiveness exceeds the cost of better responsiveness.
April 14, 2023 12
Response Time
Variation in Logistics Costs and Response Time with Number of Facilities
Number of Facilities
Total Logistics Costs
Tota
l C
osts
April 14, 2023 13
IMPLICATIONS:
• Total costs decrease and then increase as we increase the number of facilities.
• The responsiveness improves as we increase the number of facilities.
• A supply chain should always operate above the lowest cost point. Operating beyond that point makes sense if the revenue generated from better responsiveness exceeds the cost of better responsiveness.
April 14, 2023 14
DESIGN OPTIONS FOR A DISTRIBUTION NETWORK
1. Manufacturer Storage with Direct Shipping
2. Manufacturer Storage with Direct Shipping and In-Transit Merge
3. Distributor Storage with Carrier Delivery
4. Distributor Storage with Last Mile Delivery
5. Manufacturer or Distributor Storage with Consumer Pickup
6. Retail Storage with Consumer Pickup
7. Selecting a Distribution Network Design
April 14, 2023 15
MANUFACTURER STORAGE WITHDIRECT SHIPPING
Manufacturer
Retailer
Customers
Product Flow
Information Flow
April 14, 2023 16
PERFORMANCE CHARACTERISTICS OF MANUFACTURER STORAGE WITH DIRECT SHIPPING NETWORK
Cost Factor Performance
Inventory Lower cost because of aggregation. Highest Benefits for low demand and high value items and largest when product customization can be postponed by manufacturer
Transportation Higher transportation cost because of increased distance and disaggregate shipping.
Facilities and Handling
Lower facility cost because of aggregation. Saves handling cost if manufacturer can manage small shipments
Information Significant investment in information infrastructure to integrate manufacturer and retailer
April 14, 2023 17
Service Factor Performance
Response time Longer response time of 1-2 weeks due to increased distance and 2 stages for order processing. Response time may vary by product.
Product variety Easy to provide a high level of variety
Product availability
Easy to provide a high level of product availability because of aggregation at manufacturer
Customer experience
Good in terms of home delivery but can suffer if order from several manufacturers is sent as partial shipment
Time to market Fast, with the product available as soon as the first unit is produced.
Order visibility More difficult but also more important for a customer service perspective
Returnability Expensive and difficult to implement.
PERFORMANCE CHARACTERISTICS OF MANUFACTURER STORAGE WITH DIRECT SHIPPING NETWORK
April 14, 2023 18
IN-TRANSIT MERGE NETWORK
Factories
Retailer
Product Flow
Information Flow
In-Transit Merge by Carrier
Customers
April 14, 2023 19
PERFORMANCE CHARACTERISTICS OF IN-TRANSIT MERGE
Cost Factor Performance
Inventory Similar to drop shipping
Transportation Somewhat lower transportation cost than drop shipping
Facilities and handling
Handling cost higher than drop shipping, receiving cost lower at customer
Information Investment is somewhat higher than drop shipping
Service Factor Performance
Response time Similar to drop-shipping, may be higher
Product variety Similar to drop-shipping
Product availability Similar to drop-shipping
Customer experience
Better than drop-shipping, because single delivery has to be received
Time to market Similar to drop-shipping
Order visibility Similar to drop-shipping
Returnability Similar to drop-shipping
April 14, 2023 20
DISTRIBUTOR STORAGE WITH CARRIER DELIVERY
Factories
Customers
Product FlowInformation Flow
Warehouse Storage by Distributor/Retailer
April 14, 2023 21
PERFORMANCE CHARACTERISTICS OF DISTRIBUTOR STORAGE WITH CARRIER DELIVERY
Cost Factor Performance
Inventory Higher than manufacturer storage. Difference is not large for faster moving items but can large for slow moving items
Transportation Lower than manufacturer storage. Reduction is higher for faster moving items
Facilities and handling
Somewhat higher than manufacturer storage. The difference can be large for very large for slow moving items
Information Simple infrastructure compared to manufacturer storage
Service Factor Performance
Response time Faster than manufacturer storage
Product variety Lower than manufacturer storage
Product availability Higher cost to provide the same level of availability as manufacturer storage
Customer experience Better than manufacturer storage with drop-shipping
Time to market Higher than manufacturer storage
Order visibility Easier than manufacturer storage
Returnability Easier than manufacturer storage
April 14, 2023 22
DISTRIBUTOR STORAGE WITH LAST MILE DELIVERY
Factories
Customers
Product Flow
Information Flow
Distributor/Retailer Warehouse
April 14, 2023 23
PERFORMANCE CHARACTERISTICS OF DISTRIBUTOR STORAGE WITH LAST MILE DELIVERY
Cost factor Performance
Inventory Higher than distributor storage with package carrier delivery
Transportation Very high cost given minimal scale economies. Higher than any other distribution option.
Facilities and handling
Facility costs higher than manufacturer storage or distributor storage with package carrier delivery, but lower than a chain of retail stores
Information Similar to distributor storage with package carrier delivery
April 14, 2023 24
PERFORMANCE CHARACTERISTICS OF DISTRIBUTOR STORAGE WITH LAST MILE DELIVERY
Service factor Performance
Response time Very quick. Same day to next day delivery
Product variety Somewhat less than distributor storage with package carrier delivery but larger than retail stores.
Product availability More expensive to provide availability than any other option except retail stores.
Customer experience
Very good, particularly for bulky items.
Time to market Slightly higher for distributor storage with package carrier delivery
Order visibility Less of an issue and easier to implement than manufacturer storage or distributor storage with package carrier delivery.
Returnability Easier to implement than other previous options. Harder and more expensive than retail network
April 14, 2023 25
MANUFACTURER OR DISTRIBUTOR STORAGE WITH CUSTOMER PICKUP
Factories
Retailer
Pickup Sites
Product FlowInformation Flow
Cross Dock DC
Customer Flow
Customers
April 14, 2023 26
PERFORMANCE CHARACTERISTICS OF NETWORK WITH CONSUMER PICKUP SITES
Cost factor Performance
Inventory Can match any other option, depending on the location of inventory.
Transportation Lower than the use of package carriers, especially if using an existing delivery network
Facilities and handling
Facility costs can be high if new facilities have to be built. Costs are lower if existing facilities are used. The increase in handling cost at the pickup site can be significant
Information Significant investment in infrastructure is required
April 14, 2023 27
PERFORMANCE CHARACTERISTICS OF DISTRIBUTOR STORAGE WITH LAST MILE DELIVERY
Service factor Performance
Response time Similar to package carrier delivery with manufacturer or distributor storage. Same day delivery possible for items stored locally at pickup sites
Product variety Similar to other manufacturer or distributor storage options.
Product availability Similar to other manufacturer or distributor storage options.
Customer experience Lower than other options because of the lack of home delivery. Experience is sensitive to capability of pickup location
Time to market Similar to manufacturer storage options.
Order visibility Difficult but essential
Returnability Somewhat easier given that pickup location can handle returns
April 14, 2023 28
PERFORMANCE CHARACTERISTICS OF RETAIL STORAGE AT CUSTOMER PICKUP SITES
Cost factor Performance
Inventory Higher than all other options
Transportation Lower than all other options
Facilities and handling
Higher than other options. The increase in handling cost can be significant for online and phone orders.
Information Some investment in infrastructure required for online and phone orders
April 14, 2023 29
Service factor Performance
Response time Same day(immediate) pickup possible for items stored locally at pickup sites
Product variety Lower than all other options
Product availability More expensive to provide than all other options
Customer experience Related to whether shopping is viewed as a positive or negative experience by customer
Time to market Highest among distribution options.
Order visibility Trivial for in-store orders. Difficult but essential, for online and phone orders.
Returnability Easier than other options because retail stores can provide a substitute.
PERFORMANCE CHARACTERISTICS OF RETAIL STORAGE AT CUSTOMER PICKUP SITES
April 14, 2023 30
COMPARATIVE PERFORMANCE OF DELIVERY NETWORK DESIGNS (1=STRONG PERFORMANCE, 6=WEAK PERFORMANCE)
Information
Facility & Handling
Transportation
Inventory
Returnability
Order Visibility
Customer Experience
Product Availability
Product Variety
Response Time
Manufacturer storage with
pickup
Distributor storage with
last mile delivery
Distributor Storage with
Package Carrier Delivery
Manufacturer Storage with
In-Transit Merge
Manufacturer Storage with
Direct Shipping
Retail Storage
with Customer Pickup
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
2
2
2
2
2
2
2
2
3
3
3
3
3
3
3
3
3
3
4
4
4
4
4
4
4
4
4
4
4
4
4
5
5
5
5
55
5
6
6
5
April 14, 2023 31
COMPARATIVE PERFORMANCE OF DELIVERY NETWORK DESIGNS
• Identify the best and worst network along various dimensions.
• Response time: (B) retail stores (W) Manufacturer storage with direct ship
• Product variety: (W) retail stores (B) Manufacturer storage with direct ship
• Product availability: (W) retail store (B) Manufacturer storage
• Inventory: (W) retail store (B) manufacturer storage
• Transportation: (B) retail store (W) last mile delivery
• Facility: (W) retail store (B) manufacturer storage
• Handling: (W) Distributor storage with last mile delivery (B)
• Information: Retail stores may be less complex; manufacturer storage with pickup may be very complex
April 14, 2023 32
LINKING PRODUCT CHARACTERISTICS AND CUSTOMER PREFERENCES TO NETWORK DESIGN (+2=VERY SUITABLE, +1SOMEWHAT SUITABLE, 0=NEUTRAL, -1=SOMEWHAT UNSUITABLE, -2=VERY UNSUITABLE
Low customer effort
High product variety
Quick desired response
High product value
Many product sources
Very low demand product
Low demand product
Medium demand product
High demand product
Manufacturer storage with
pickup
Distributor storage with last
mile delivery
Distributor Storage with Package
Carrier Delivery
Manufacturer Storage with
In-Transit Merge
Manufacturer Storage with
Direct Shipping
Retail Storage with
Customer Pickup
+2
+2
+2
+2
+2
+2
+2 +2 +2
+2
+1
+1
+1
+1
+1
+1
+1
+1
+1
+1
+1
+1
+1
+1
+1
0
0
0
0
0
0
0
0 0
0
-1
-1
-1
-1
-1 -1
-1
-1
-1
-1
-1
-2 -2
-2
-2
-2
-2 -2
-2
April 14, 2023 33
LINKING PRODUCT CHARACTERISTICS AND CUSTOMER PREFERENCES TO NETWORK DESIGN
• When designing the delivery network we should account for product and market characteristics.
• High demand products will have transportation cost play a significant role. Use network with good transportation cost (retail stores)
• Very low demand products will have inventory play a significant role. Use network with low inventory costs (direct shipping)
• Many product sources: transportation + information plays a role. Distributor storage with package carrier
• Few product sources but high customization: manufacturer storage with merge in transit
• High product variety: inventory cost will be significant. Use distributor storage
• Low customer effort: Distributor storage with package carrier delivery or last mile delivery depending upon desired response time
April 14, 2023 34
E-BUSINESS AND THE DISTRIBUTION NETWORK• Impact of E-Business on Customer Service
• Response time to customers
• Product variety
• Product availability
• Customer experience
• Faster time to market
• Order visibility
• Returnability
• Direct sales to customers
• Flexible pricing, product portfolio and promotions
• Efficient fund transfer
April 14, 2023 35
E-BUSINESS AND THE DISTRIBUTION NETWORK
• Impact of E-Business on Cost
• Inventory
• Facilities
• Transportation
• Information
• Using E-Business: Dell, Amazon, Peapod, Grainger
April 14, 2023 36
DISTRIBUTION NETWORKS IN PRACTICE
• The ownership structure of the distribution network can have as big as an impact as the type of distribution network
• The choice of a distribution network has very long-term consequences
• Consider whether an exclusive distribution strategy is advantageous
• Product, price, commoditization, and criticality have an impact on the type of distribution system preferred by customers
April 14, 2023 37
ASSIGNMENT…
• What are the key factors to be considered when designing the distribution network?
• What are the strengths and weaknesses of various distribution options?
• What roles do distributors play in the supply chain?
• Using E-Business: Dell, Amazon, Peapod, Grainger
April 14, 2023 38
ROLE OF NETWORK DESIGN IN THE SUPPLY CHAIN
• Supply chain network design decisions include the assignment of facility role; location of manufacturing; storage or transportation related facilities; allocation of capacity and markets to each facility.
• Facility role- what role should each facility play? What processes are performed at each facility?
• Facility location- where should facilities be located?
• Capacity allocation- how much capacity be allocated to each facility?
• Market and supply allocation- what market should each facility serve? Which supply sources should feed each facility?
April 14, 2023 39
FACTORS INFLUENCING NETWORK DESIGN DECISIONS
• Strategic- firms focusing on low cost leadership tend to find the lowest cost location for their manufacturing facilities. Ex: Electronic goods. Whereas firms focusing on responsiveness tend to locate facilities closer to the market and may select high cost location Ex: apparels which responds quickly to changing fashion trends.
• Technological-if production technology displays significant economies of scale, a few high capacity locations are most effective. Ex: manufacture of computer chips. Whereas if facilities have lower fixed costs, many local facilities are preferred because this helps in lower transportation costs. Ex: bottling plants for coca cola.
• Macroeconomic factors- include taxes tariffs, exchange rates, and shipping costs, freight and fuel cost that are not internal to an individual firm. Ex: BMW built its US factory in south Carolina mainly because of tax incentives offered by the state.
• Political-companies prefer to locate facilities in politically stable countries where the rules of commerce and ownership are well defined
April 14, 2023 40
FACTORS INFLUENCING NETWORK DESIGN DECISIONS
• Infrastructure- the availability of good infrastructure is a prerequisite to locating facility in a given area. Poor infrastructure adds on to the cost of doing business from a given location. Key elements include sites and labor, proximity to all transportation terminals and local utilities.
• Competitive- companies must consider competitors’ strategy, size and location. Fundamental decision firm make is whether to locate their facilities close to or far from competitors.
• Positive externalities between firms-retails stores tend to locate close to each other because doing so increases overall demand
• Locating to split the market- when firms do not control price but compete on distance from the customer, they can maximize market share by locating close to each other and splitting the market.
April 14, 2023 41
• Socioeconomic factors-Govt. of India has promoted industrial development of industrially backward areas like J&K, and northeastern states. Balanced regional development through locational dispersal of industries has been one of the principle objectives of 5 Year Plans. Industrial policy aims to spread industrialization to backward areas on the country.
• Customer response time and local presence- firms that target customers who value for shorter response time must locate close to them. Most towns have fewer supermarkets than convenience stores.
• Logistics and facility costs- cost incurred within a supply chain change as a number of facilities, their location and capacity allocation change. Ex: locating the steel factory close to the supply source is preferred because it reduces transportation cost. Total logistics cost are the sum of the inventory, transportation, and facilities cost.
FACTORS INFLUENCING NETWORK DESIGN DECISIONS
April 14, 2023 42
THE COST-RESPONSE TIME FRONTIER
Local FG
Mix
Regional FG
Local WIP
Central FG
Central WIP
Central Raw Material and Custom production
Custom production with raw material at suppliers
Cost
Response Time HiLow
Low
Hi
April 14, 2023 43
SERVICE AND NUMBER OF FACILITIES
Number of Facilities
ResponseTime
April 14, 2023 44
Customer
DC
Where inventory needs to be for a one week order response time - typical results --> 1 DC
April 14, 2023 45
CustomerDC
Where inventory needs to be for a 5 day order response time - typical results --> 2 DCs
April 14, 2023 46
Customer
DC
Where inventory needs to be for a 3 day order response time - typical results --> 5 DCs
April 14, 2023 47
Customer
DC
Where inventory needs to be for a next day order response time - typical results --> 13 DCs
April 14, 2023 48
Customer
DC
Where inventory needs to be for a same day / next day order response time - typical results --> 26 DCs
April 14, 2023 49
COSTS AND NUMBER OF FACILITIES
Costs
Number of facilities
Inventory
Transportation
Facility costs
April 14, 2023 50
Percent Service Level
Within Promised Time
Transportation
COST BUILDUP AS A FUNCTION OF FACILITIESC
ost
of
Op
era
tion
s
Number of Facilities
Inventory
Facilities
Total Costs
Labor
April 14, 2023 51
Conventional Network
CustomerStore
MaterialsDC
ComponentManufacturing
VendorDC
Final Assembly
FinishedGoods DC
ComponentsDC
VendorDC Plant
Warehouse
FinishedGoods DC
CustomerDC
CustomerDC
CustomerDC
CustomerStore
CustomerStore
CustomerStore
CustomerStore
VendorDC
April 14, 2023 52
TAILORED NETWORK: MULTI-ECHELON FINISHED GOODS NETWORK
RegionalFinished
Goods DC
RegionalFinished
Goods DC
Customer 1DC
Store 1
NationalFinished
Goods DC
Local DCCross-Dock
Local DC Cross-Dock
Local DCCross-Dock
Customer 2DC
Store 1
Store 2
Store 2
Store 3
Store 3
April 14, 2023 53
A FRAMEWORK FOR NETWORK DESIGN DECISIONS
PHASE ISupply Chain
Strategy
PHASE IIRegional Facility
Configuration
PHASE IIIDesirable
Sites
PHASE IVLocation Choices
Competitive STRATEGY
INTERNAL CONSTRAINTSCapital, growth strategy,existing network
PRODUCTION TECHNOLOGIESCost, Scale/Scope impact, Support, required, flexibility
COMPETITIVEENVIRONMENT
PRODUCTION METHODSSkill needs, response time
FACTOR COSTSLabor, materials, site specific
GLOBAL COMPETITION
TARIFFS AND TAXINCENTIVES
REGIONAL DEMANDSize, growth, homogeneity,local specifications
POLITICAL, EXCHANGERATE AND DEMAND RISK
AVAILABLEINFRASTRUCTURE
LOGISTICS COSTSTransport, inventory, coordination
AGGREGATE FACTOR AND LOGISTICS COSTS
April 14, 2023 54
MODELS FOR FACILITY LOCATION AND CAPACITY ALLOCATION Goal is to maximize the overall profitability while providing
customers with appropriate responsiveness.
Revenues come from sale of products, whereas cost arises from facilities, labor, transportation, material and inventories.
A manager must consider many trade-offs during network design. Ex: building many facilities reduces transportation cost and provides fast response time, but it increases the facility and inventory cost.
Managers use network design models in 2 situations:
1. To decide on locations where facilities will be established and the capacity to be assigned to each facility.(long term)
2. Models are used to assign current demand to the available facilities and identify lanes along which product will be transported.(annual basis)
April 14, 2023 55
NETWORK OPTIMIZATION MODELS
Case let: SunOil decides to view worldwide demand in terms of 5 regions. Annual demand is shown in the last row, and fixed cost for low and high capacity is shown in the table.
Available Data; manager’s decision on economies of scale, Cost data and demand data for SunOil is as shown
The optimization model requires following constraints:(min costs)
n= number of potential plant locations/ capacity
m= number of market or demand points
Dj= annual demand from market j
Ki= potential capacity of plant i
fi= annualized fixed cost of keeping plant i open
cij= cost of producing and shipping 1 unit from plant i to market j (cost include production, inventory, transportation and tariffs)
The following are the decision variables:
Yi= 1, if plant i is open, 0 otherwiseXij= quantity shipped from plant i to market j
THE CAPACITATED PLANT LOCATION MODEL:
Formulated as: n n n
Min Σ fi Yi + Σ Σ cij Xij i=1 i=1 j=1 Subject to;n
Σ Xij=D for j=1…….m (1)i=1
m
Σ Xij≤ Ki Yi for i=1…….n (2)j=1
Yi∈{0,1} for i=1……n, Xij ≥0 (3)
April 14, 2023 57
• The objective function minimizes the total cost of setting up and operating the network.
• The constraint in (1) requires that demand at each regional market be satisfied.
• The constraint in (2) sates that no plant can supply more than its capacity
• The constraint in (3) enforces that each plant is either open or close
• The solution identifies the plants that are to be kept open, their capacity, and the allocation of regional demand to these plants.
• If sun oil decides to locate a plant in Europe for strategic reasons, we can modify the model by adding a constraint that requires one plant to be located in Europe.
• The cost associated with a variety of options incorporating different combinations of strategic concerns such as local presence should be evaluated.
• A suitable regional configuration is then selected
GRAVITY METHODS FOR LOCATION
• Gravity models assumes that both the markets and the supply sources can be located as a grid points on a plane.
• All distances are calculated as geometric distance between 2 points.
• The transportation cost grows linearly with the quantity shipped.
• The gravity model helps to locate a single facility that receives raw material from supply sources and ships finished products to markets.
GRAVITY METHODS FOR LOCATION
• x,y: Warehouse Coordinates
• xn, yn : Coordinates of delivery location n
• dn : Distance to delivery location n
• Fn : Annual tonnage to delivery location n
• Dn : quantity to be shipped between facility and marketer supply source n
k
n n
n
k
n n
nn
k
n n
n
k
n n
nn
n
dFDd
FyDd
FDd
FxD
yyxxd
n
n
y
n
n
x
nn
1
1
1
1
22 )()(
Transportation Cost = FDd nn n
1-59
April 14, 2023 60
• Thus the manager identifies the coordinates (x,y) as the location of the factory that minimizes total cost TC.
• The precise coordinates provided by the gravity model may not correspond to a feasible location.
• The manager should look for desirable sites close to the optimal coordinates that have the required infrastructure as well as the appropriate work skill available.
GRAVITY METHODS FOR LOCATION
April 14, 2023 61
NETWORK OPTIMIZATION MODELS
• Allocating demand to production facilities
• Locating facilities and allocating capacity
Which plants to establish? How to configure the network?
Key Costs:
• Fixed facility cost• Transportation cost• Production cost• Inventory cost• Coordination cost
April 14, 2023 62
DEMAND ALLOCATION MODEL
• Which market is served by which plant?
• Which supply sources are used by a plant?
xij = Quantity shipped from plant site i to customer j
0
,...,1,
,...,1,
..
1
1
1 1
x
Kx
Dx
xc
ij
i
m
jij
j
n
iij
n
i
m
jijij
ni
mj
ts
Min
PLANT LOCATION WITH MULTIPLE SOURCING
• yi = 1 if plant is located at site i, 0 otherwise
• xij = Quantity shipped from plant site i to customer j
}1,0{;
,...,1,
,...,1,
..
1
1
1
1 11
yy
yKx
Dx
xcyf
i
m
ii
ii
n
jij
j
n
iij
n
i
m
jijiji
n
ii
k
ni
mj
ts
Min
1-63
PLANT LOCATION WITH SINGLE SOURCING
• yi = 1 if plant is located at site i, 0 otherwise
• xij = 1 if market j is supplied by factory i, 0 otherwise
}1,0{
,...,1,
,...,1,1
..
,1
1
1 11
yx
yKxD
x
xcDyf
ij
nij
mj
ts
jMin
i
ii
n
j ij
n
iij
n
i
m
jijiji
n
ii
1-64
PROCURE RAW WOOL
SORT AND
BLEND RAW
WOOL
SPIN BY
HANDRECEIVE UNDYED YARN AT
HEAD OFFICE
DYE WOOLEN YARN
OPEN HANK YARN
TO MAKE
SPINDLES
RECEIVE SPINDLE
S AT HEAD
OFFICE
DELIVER RAW
MATERIAL AND
MAP TO THE
BRANCH OFFICE
DELIVER RAW
MATERIAL AND
MAP TO THE
WEAVER WEAVE CARPE
T
COLLECT CARPETS
FROM WEAVERS
AND BRING TO THE BRANCH OFFICE
RECEIVE CARPET AT THE HEAD
OFFICEINSPECT CARPET
S
REPAIR CARPE
TS
WASH AND
FINISH CARPET
S
E X A M P L E : Q U A L I T Y W O O L E N R U G S
BIKANEER-PRODUCED AT AUCTION CENTRE
BIKANEER 275 KM FROM JAIPUR
IN VILLAGES 30-KM AROUND BIKANEER
JAIPUR
AT DYING HOUSES 5-20KMS FROM HO
JAIPUR, 20KMS FROM HO
JAIPURTHANAGAZI110KMS FROM HO
NARHET, 60 LOOMS200 WEAVERS,25 KMS FROM THANAGAZI BRANCHOFFICE
AREA VISITS EVERY 15-20 DAYSTO CHECK PROGRESS
THANAGAZI, NAHRETJAIPUR
20KMS FROM HO
April 14, 2023 66
ASSIGNMENT…
• What is the role of network design decisions in the supply chain?
• What are the factors influencing supply chain network design decisions?
• Describe a strategic framework for facility location.
• How are the following optimization methods used for facility location and capacity allocation decisions?• Gravity methods for location
• Network optimization models
END OF MODULE 2