1 utdallas.edu/~metin managing transportation in a supply chain chapter 13 sections 4.3, 4.4 and 4.5

50
utdallas.edu/~metin Managing Transportation in a Supply Chain Chapter 13 Sections 4.3, 4.4 and 4.5

Upload: brook-chase

Post on 15-Jan-2016

223 views

Category:

Documents


1 download

TRANSCRIPT

Page 1: 1 utdallas.edu/~metin Managing Transportation in a Supply Chain Chapter 13 Sections 4.3, 4.4 and 4.5

1utdallas.edu/~metin

Managing Transportation in a Supply Chain

Chapter 13Sections 4.3, 4.4 and 4.5

Page 2: 1 utdallas.edu/~metin Managing Transportation in a Supply Chain Chapter 13 Sections 4.3, 4.4 and 4.5

2utdallas.edu/~metin

Outline

Key modes of transport and major issues Transportation System Design Tradeoffs in transportation design

– Transportation and service Vehicle Routing

Page 3: 1 utdallas.edu/~metin Managing Transportation in a Supply Chain Chapter 13 Sections 4.3, 4.4 and 4.5

3utdallas.edu/~metin

Parties Involved in TransportationCarriers, owners of the

vehicles; E.g. Passengers by Southwest airlines;Cargo by Cargolux airlines, only freight;Passengers and cargo by railways

Care about

Vehicle related costs Fixed operating costs, hubs Trip related costs Quantity related cost Overhead cost

Shippers, consolidator of shipments;E.g. Postal service;

Administrative assistants;

Care about Transportation cost -paid to carriers Inventory cost Consolidating facility cost Processing cost Service levels, customer satisfaction

Is FedEx a Carrier or a Shipper?

Page 4: 1 utdallas.edu/~metin Managing Transportation in a Supply Chain Chapter 13 Sections 4.3, 4.4 and 4.5

4utdallas.edu/~metin

14.3: Transportation Modes Trucks

– TL: Truckload. High utilization of trucks.– LTL: Less than truckload. Fast delivery.

» Suffering from high transportation costs, Lennox wants to use more TL in the future.

Rail– Carload– Intermodal

Air Package Carriers Water Pipeline

Page 5: 1 utdallas.edu/~metin Managing Transportation in a Supply Chain Chapter 13 Sections 4.3, 4.4 and 4.5

5utdallas.edu/~metin

Truckload (TL)

Average revenue per ton mile in 1996 = 9.13 cents Average haul = 274 miles Average Capacity = 17.5 to 21 tons = 42,000 - 50,000 lb. Low fixed and variable costs Major Issues

– Coordination of local and interstate hauls– Utilization– Backhauls

» Return trips are empty» What to send back to China from the U.S.?

– Consistent service among different companies– Dynamic pricing, is the industry ready?

Page 6: 1 utdallas.edu/~metin Managing Transportation in a Supply Chain Chapter 13 Sections 4.3, 4.4 and 4.5

6utdallas.edu/~metin

Less Than Truckload (LTL)

Average revenue per ton-mile in 1996 = 25.08 cents Average haul = 646 miles compare to 274 miles of TL Higher fixed costs (terminals) and low variable costs Major Issues

– Location of consolidation facilities

– Utilization

– Vehicle routing

– Customer service

Page 7: 1 utdallas.edu/~metin Managing Transportation in a Supply Chain Chapter 13 Sections 4.3, 4.4 and 4.5

7utdallas.edu/~metin

Rail

Average revenue / ton-mile in 1996 = 2.5 cents Average haul = 720 miles Average load = 80 tons Key Issues

– Scheduling to minimize delays / improve service

– Off track delays (at pick up and delivery end)

– Yard operations» To build a train – on the next page

– Variability of delivery times

Page 8: 1 utdallas.edu/~metin Managing Transportation in a Supply Chain Chapter 13 Sections 4.3, 4.4 and 4.5

8utdallas.edu/~metin

Yard operations to build a train

3

1 12 2

31 2 31

2 1 3

2 13

32

2 3

3

Cities:

Disassembling and assembling a train

Page 9: 1 utdallas.edu/~metin Managing Transportation in a Supply Chain Chapter 13 Sections 4.3, 4.4 and 4.5

9utdallas.edu/~metin

Air Key Issues for Passenger Airlines, $250 B /year

– Cost cutting, costs in 2004 are about $0.1 per customer per mile– Location/Number of hubs– Depeaking: Moving operations away from rush hours– Location of fleet bases / crew bases– Schedule optimization, Fleet assignment, Crew scheduling

» Recent idea: Always keep the same crew with the same aircraft

– Yield management

Cargo Airlines, $40 B /year– Shape, weight, volume of the cargo– Cargo shippers, consolidators – Safety: Risk sharing between shipper and carrier. New legislation expected.

Service supply chains deal heavily with airline issues

Page 10: 1 utdallas.edu/~metin Managing Transportation in a Supply Chain Chapter 13 Sections 4.3, 4.4 and 4.5

10utdallas.edu/~metin

How far does 1 Ton of Cargo go with 1 Gallon of Fuel?

Source: Brian Wickett

Fall 2007 SCM student

Page 11: 1 utdallas.edu/~metin Managing Transportation in a Supply Chain Chapter 13 Sections 4.3, 4.4 and 4.5

11utdallas.edu/~metin

14.4: Transportation System Design

AC Delco: Very high value, low volume parts

– Three plants: Milwaukee(Wisc), Kokomo(Ind), Matamoros(Mex)

– 21 assembly plants (customers for above plants) Products: ACs, batteries, hoses, brakes, belts, etc. What are the distribution options? Which one to select?

On what basis?

Page 12: 1 utdallas.edu/~metin Managing Transportation in a Supply Chain Chapter 13 Sections 4.3, 4.4 and 4.5

12utdallas.edu/~metin

All Shipments Direct

Milwaukee

Kokomo

Matamoros

Page 13: 1 utdallas.edu/~metin Managing Transportation in a Supply Chain Chapter 13 Sections 4.3, 4.4 and 4.5

13utdallas.edu/~metin

All Shipments Via Kokomo (with or without cross dock)

Milwaukee

Kokomo

Matamoros

Page 14: 1 utdallas.edu/~metin Managing Transportation in a Supply Chain Chapter 13 Sections 4.3, 4.4 and 4.5

14utdallas.edu/~metin

Some Shipments Direct, Others Via Kokomo

Milwaukee

Kokomo

Matamoros

Page 15: 1 utdallas.edu/~metin Managing Transportation in a Supply Chain Chapter 13 Sections 4.3, 4.4 and 4.5

15utdallas.edu/~metin

Milk Runs From Kokomo

Milwaukee

Kokomo

Matamoros

Milk run is loop that contains either a single supplier or a single customer.

Page 16: 1 utdallas.edu/~metin Managing Transportation in a Supply Chain Chapter 13 Sections 4.3, 4.4 and 4.5

16utdallas.edu/~metin

Milk Runs From Plants

Milwaukee

Kokomo

Matamoros

Page 17: 1 utdallas.edu/~metin Managing Transportation in a Supply Chain Chapter 13 Sections 4.3, 4.4 and 4.5

17utdallas.edu/~metin

Shipments via a Central Warehouse

Milwaukee

Kokomo

Matamoros

Page 18: 1 utdallas.edu/~metin Managing Transportation in a Supply Chain Chapter 13 Sections 4.3, 4.4 and 4.5

18utdallas.edu/~metin

Shipments via Central Warehouse Using Milk Runs

Milwaukee

Kokomo

Matamoros

Page 19: 1 utdallas.edu/~metin Managing Transportation in a Supply Chain Chapter 13 Sections 4.3, 4.4 and 4.5

19utdallas.edu/~metin

Cross Docking

This approach is useful if deliveries are time sensitive and there are several small dropoffs in proximity, not all of which can be delivered on a single truck.

Items are shifted from one truck to another without going in to storage. Timing of truck arrivals/departures is very crucial.

Milwaukee

Kokomo

Matamoros

Page 20: 1 utdallas.edu/~metin Managing Transportation in a Supply Chain Chapter 13 Sections 4.3, 4.4 and 4.5

20utdallas.edu/~metin

Total Costs=Transportation+Inventory

Routes Transport Inventory Total Direct, Full Load 2.0 17.5 19.5

Direct,Optimal Load

4.0 5.6 9.6

Via Kokomo, Full Load

2.1 9.7 11.8

Via Kokomo, Optimal Load

3.0 7.2 10.2

Direct + Kokomo

3.7 5.8 9.5

Milk run from Kokomo

2.4 7.2 9.6

Milk run from Plants

3.5 4.6 8.1

Page 21: 1 utdallas.edu/~metin Managing Transportation in a Supply Chain Chapter 13 Sections 4.3, 4.4 and 4.5

21utdallas.edu/~metin

Section 4.3: Design Options for Distribution4.3.1: Drop-Shipping or Direct Shipping to Consumer

Products are shipped directly to the consumer from the manufacturer

Manufacturer often uses package carriers for delivery

Retailer is an information collector: – It picks consumer orders from

customers and passes them to the manufacturers

– It does not hold product inventory, rather it is purely for order generation (naturally or via promotions, ads)

E.g.: Medical equipment salespeople can be considered as retailers. Dell, Nordstrom catalogues

Retailer

Manufacturers

Consumers

Page 22: 1 utdallas.edu/~metin Managing Transportation in a Supply Chain Chapter 13 Sections 4.3, 4.4 and 4.5

22utdallas.edu/~metin

Drop shipping for High-value and low, unpredictable demand items

All consumers’ needs for a particular product is satisfied from a manufacturer: All finished goods inventory for a product reside at one manufacturer. Finished goods inventory is aggregated over different consumers.– Aggregated demand often has smaller standard deviation than the sum of the

standard deviations of the individual demands in the aggregation because extremes cancel out.

Manufacturers postpone customization of products until an order is placed. Component and sub-assembly inventory is aggregated over different products.

A wide range of products can be provided at a low cost due to postponement. – e.g. Dell uses postponement very effectively.

Direct shipment simplifies retailers’ functions but complicates manufacturers’. Can manufacturer’s handle shipping units one by one to the consumers? Manufacturers and retailers must coordinate their actions using an integrated information systems.

Product returns are harder to handle. Response times to consumer orders are longer with direct shipping. Direct shipping increases shipment costs.

Page 23: 1 utdallas.edu/~metin Managing Transportation in a Supply Chain Chapter 13 Sections 4.3, 4.4 and 4.5

23utdallas.edu/~metin

How to reduce shipment costs for moderate demand?4.3.2: In-Transit Merge

The distribution network is too extensive with direct shipping and no economies of scale in transportation costs can be achieved.

Consider merging shipments at Mergers. Shipments to Mergers are larger so economies of scale is achieved.

Mergers increase facility costs. Mergers can be done within trucks:

Cross-docking becomes useful. Response time may go up. Example:

– Furniture retailers merge couches and coffee tables produced by different manufacturers

– Dell merges a Dell PC with a Sony flat screen

RetailerMergers

Consumers

Manufacturers

Page 24: 1 utdallas.edu/~metin Managing Transportation in a Supply Chain Chapter 13 Sections 4.3, 4.4 and 4.5

24utdallas.edu/~metin

How to reduce transportation costs/response times?4.3.3: Distributor Storage with Carrier Delivery

Keep finished goods inventory at a warehouse which ships to consumers using carriers.

Shipments from manufacturers to warehouses are in TL or LTL to exploit economies of scale.

Warehouses are physically closer to consumers which leads to

– Shorter order fulfillment time– Shorter distance to cover with package carriers

for outbound shipment. With respect to In-Transit Merge

– Inventory aggregation is less because inventory is pushed to warehouses

– Higher inventory costs– Facility costs are higher

Easier to run. Warehouse meets the demands so infrequent orders from manufacturers to warehouses.

Less information to keep track of. Only warehouses need real time demand/order status information.

Example: Amazon

DistributorWarehouse

Manufacturers

Consumers

DistributorWarehouse

Page 25: 1 utdallas.edu/~metin Managing Transportation in a Supply Chain Chapter 13 Sections 4.3, 4.4 and 4.5

25utdallas.edu/~metin

How to provide more delivery service?4.3.4: Distributor Storage with Last Mile Delivery

Very similar to Distributor Storage with Carrier Delivery except that the warehouse delivers to the consumers using Milk Runs.

Transportation costs go up because warehouses are not as effective as package carriers in aggregating loads to have economies of scale.

Warehouse may need to own a trucking fleet so the physical infrastructure costs are higher. Products must be flowing fast to justify the infrastructure.

The cost for drivers and load handlers are high. Last mile delivery can be a sound option if labor costs are relatively small with respect to the premium consumers are willing to pay for home delivery.

Response times are shorter– Warehouses are located closer to consumers– A private fleet of trucks can deliver faster than

package carriers. Home delivery is high customer service;

appreciated by the customers for bulky products, e.g. a washer

Consumer must pay for delivery costs. – Peapod charged $9.95/delivery– Delivery costs can depend on the time of the day

Example: Milk delivery, Grocery delivery

DistributorWarehouse

Manufacturers

Consumers

DistributorWarehouse

Page 26: 1 utdallas.edu/~metin Managing Transportation in a Supply Chain Chapter 13 Sections 4.3, 4.4 and 4.5

26utdallas.edu/~metin

How to reduce eliminate consumer’s delivery cost?4.3.5: Manufacturer or Distributor Storage with Consumer Pickup

If consumers are willing to pick up the products easily, let them do so. Otherwise, they would be charged for the delivery costs.

This is very similar to Last Mile Delivery except that the consumers come to pick up sites (warehouse, retailer) to get the products.

Order tracking is crucial. Consumers must be alerted when their order is ready for pick up. Once a consumer arrives at the pick up site, the products must be quickly located.

Significant amount of information is required to run.

Example: 7dream.com of Japanese 7-Eleven

– Check it out but it is in Japanese

DistributorWarehouse

Manufacturers

Consumers

DistributorWarehouse

Page 27: 1 utdallas.edu/~metin Managing Transportation in a Supply Chain Chapter 13 Sections 4.3, 4.4 and 4.5

27utdallas.edu/~metin

How to push products closer to consumers?4.3.5: Retail Storage with Consumer Pickup

Consumers can also pick up from retailers. This is the most common form of shopping.

This is very similar to consumer pick up from warehouses except that now the consumers go to retailers which are closer to consumers and more conveniently located for pick ups.

Inventories at warehouses are aggregated over consumers. Typically a single warehouse serves many more consumers than a single retailer would. Inventory aggregation happens at a greater extent when consumers pick up from the warehouses.

No order tracking necessary. If the product is available at the retailer, the consumer buys. Otherwise goes to another retailer

Example: All the retail stores. Wal-Mart, Albertson’s, Van Heusen Shirts, JCPenny

Retailer

Manufacturers

Consumers

RetailerRetailer

Page 28: 1 utdallas.edu/~metin Managing Transportation in a Supply Chain Chapter 13 Sections 4.3, 4.4 and 4.5

28utdallas.edu/~metin

Performance: 1 is good

Information

Facility & Handling

Transportation

Inventory

Returnability

Order Visibility

Customer Experience

Product Availability

Product Variety

Response Time

Pickup from Warehouse

Last Mile Delivery

Package Carrier Delivery

In-Transit Merge

Drop Shipping

Pickup from

Retailer

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

Page 29: 1 utdallas.edu/~metin Managing Transportation in a Supply Chain Chapter 13 Sections 4.3, 4.4 and 4.5

29utdallas.edu/~metin

There are many distribution options but which are suitable for a given circumstance?

Drop Ship In-Transit Merge

Package Carrier

Delivery

Last Mile Delivery

Pickup from

Warehouse

Pickup from

Retailer

High-demand

Medium-demand

Low-demand

Very low-demand

Many product resources

High product value

Quick desired response

High product variety

Low customer effort

Red very suitable.

Page 30: 1 utdallas.edu/~metin Managing Transportation in a Supply Chain Chapter 13 Sections 4.3, 4.4 and 4.5

30utdallas.edu/~metin

What value do distributors add to SCs? Economies of scale in inbound transportation costs to distributors by combining

shipments of several products coming from the same manufacturer. Economies of scale in outbound transportation costs from distributor to retailers by

combining shipments coming from several manufacturers and going to the same retailer.

Inventory aggregation at the distributor as opposed to individual retailer inventories Smoothes out orders coming from retailers and going to manufacturers. This is a side

effect of combining shipments. Distributors provide a compromise strategy, for keeping inventories in the SCs,

between– Storage at the manufacturer with direct shipments

» Low inventory cost but high transportation cost– Storage at the retailer with customer pickups

» High inventory cost but low transportation cost By specializing on distribution, distributors do a better job in logistics of shipments:

– On time deliveries– Breaking bulk shipments, e.g., kitting– Shipment tracking

Page 31: 1 utdallas.edu/~metin Managing Transportation in a Supply Chain Chapter 13 Sections 4.3, 4.4 and 4.5

31utdallas.edu/~metin

E-Business and the Distribution Network Impact of E-Business on Customer Service

– Faster» Response to customer orders» New product introductions» Modifications of Product portfolios, pricing, promotions» Revenue collection

– Product variety» Number of products

– Product availability» Number of products in the storage

Improved Information and Aggregation Potential

– Customer experience » Ease (+); After-hours-shopping (+); Distant-shopping (+); » Order visibility (-) for the customer.

– Profit can increase with the removal of the distributors

Page 32: 1 utdallas.edu/~metin Managing Transportation in a Supply Chain Chapter 13 Sections 4.3, 4.4 and 4.5

32utdallas.edu/~metin

E-Business and the Distribution Network Impact of E-Business on Cost

– Inventory» Improved Information and Aggregation Potential

– Facilities » Facility costs» Operating costs

Simplification of order taking Increased handling of products

– Transportation» Aggregation increases the outbound transportation costs

– Information» Increased demand visibility» Increased supplier visibility

Using E-Business: Dell, Amazon, Peapod, Grainger

Page 33: 1 utdallas.edu/~metin Managing Transportation in a Supply Chain Chapter 13 Sections 4.3, 4.4 and 4.5

33utdallas.edu/~metin

13.5: Tradeoffs in Transportation Design

Transportation, facility, and inventory cost tradeoff

– Choice of transportation mode (later)

– Inventory aggregation (later) Transportation cost and responsiveness tradeoff

– Temporal aggregation leads to economies of scale

– Temporal aggregation decreases responsiveness

Page 34: 1 utdallas.edu/~metin Managing Transportation in a Supply Chain Chapter 13 Sections 4.3, 4.4 and 4.5

34utdallas.edu/~metin

Temporal aggregation: Extremes cancel outDay 1 Load:

Day 2 Load:

2 trucks at the end of each day (one truck half-full) or 3 trucks at the end of the 2. day (both trucks full)?

Page 35: 1 utdallas.edu/~metin Managing Transportation in a Supply Chain Chapter 13 Sections 4.3, 4.4 and 4.5

35utdallas.edu/~metin

13.6: Tailored Transportation

By product characteristics: life cycle, spoilage. By customer density and distance

– High density, short distance: private fleet, milk runs» Milkman, 7-Eleven Japan

– Low density, high distance: package carrier» Amazon

By customer size– Various frequencies of deliveries– Delivery on Even days to Retailers L and H , on Odd days to Retailer

H By value and volume

– If High value, use fast transportation; semiconductor chips– If High volume, can afford to disaggregate inventories that is use

several warehouses; Wal-Mart DCs– If High cube (very heavy), ?

Page 36: 1 utdallas.edu/~metin Managing Transportation in a Supply Chain Chapter 13 Sections 4.3, 4.4 and 4.5

36utdallas.edu/~metin

Routing and Scheduling in Transportation

Use frequency decomposition

Clustering– Assignment of trucks to demand points (retailers)

Routing– Sequencing demand points– Trucks use these sequences to visit demand points

Scheduling– Exact time of visits/loading and unloading

Page 37: 1 utdallas.edu/~metin Managing Transportation in a Supply Chain Chapter 13 Sections 4.3, 4.4 and 4.5

37utdallas.edu/~metin

Classification: Vehicle Routing Problems Demand uncertainty

– Repair operations, spare parts demand for Xerox machines The nature of operations: pick up / load Planning periods: Single vs. Multiple

– In multiple periods, initial configuration of where trucks are every period can be different.

Static vs. Dynamic, to the extent real time info used– Wireless technologies can help– After all what are RFID (Radio Frequency ID) tags for?

Fleet capacity, known? Strategic vs Operational. Delivery time windows.

– I want » my paper in the morning» my pizza in the night

Objective: transportation costs, inventory costs, crew costs

Page 38: 1 utdallas.edu/~metin Managing Transportation in a Supply Chain Chapter 13 Sections 4.3, 4.4 and 4.5

38utdallas.edu/~metin

Two-phase VRP heuristics

Clustering– Saving matrix method– Generalized assignment method

Sequencing– Route sequencing– Route improvement

More detailed discussion is in – OPRE 6370: Logistics and Distribution offered

every Fall semester.

Page 39: 1 utdallas.edu/~metin Managing Transportation in a Supply Chain Chapter 13 Sections 4.3, 4.4 and 4.5

39utdallas.edu/~metin

Summary of Learning Objectives

Strengths and weaknesses of transport modes Choices of transportation networks Tradeoffs in transportation network design Tailored transportation networks Heuristics for Clustering and Sequencing

Page 40: 1 utdallas.edu/~metin Managing Transportation in a Supply Chain Chapter 13 Sections 4.3, 4.4 and 4.5

40utdallas.edu/~metin

Appendix

Some details about clustering and routing are included here. There is more discussion on these in the 1st and 2nd edition of the Chopra and Meindl textbook.

Page 41: 1 utdallas.edu/~metin Managing Transportation in a Supply Chain Chapter 13 Sections 4.3, 4.4 and 4.5

41utdallas.edu/~metin

Clustering: Saving matrix method

Distances are Euclidean or Rectilinear Savings of consolidating two customers X and Y:

– Eliminating going from X to DC and

– Eliminating going from DC to Y

– But adding going from X to Y

S(X,Y)=Dist(DC,X)+Dist(DC,Y)-Dist(X,Y)

S(X,Y) < 0 , when is this possible if ever?

DCX

Y

Page 42: 1 utdallas.edu/~metin Managing Transportation in a Supply Chain Chapter 13 Sections 4.3, 4.4 and 4.5

42utdallas.edu/~metin

X-Coordinate Y-Coordinate Demand

Warehouse 0 0Customer 1 0 12 48Customer 2 6 5 36Customer 3 7 15 43Customer 4 9 12 92Customer 5 15 3 57Customer 6 20 0 16Customer 7 17 -2 56Customer 8 7 -4 30Customer 9 1 -6 57Customer 10 15 -6 47Customer 11 20 -7 91Customer 12 7 -9 55Customer 13 2 -15 36

Clustering Example

Page 43: 1 utdallas.edu/~metin Managing Transportation in a Supply Chain Chapter 13 Sections 4.3, 4.4 and 4.5

43utdallas.edu/~metin

Whse Cust

1 Cust

2 Cust

3 Cust

4 Cust

5 Cust

6 Cust

7 Cust

8 Cust

9 Cust 10

Cust 11

Cust 12

Cust 13

Whse 0 Cust 1 12 0 Cust 2 8 9 0 Cust 3 17 8 10 0 Cust 4 15 9 8 4 0 Cust 5 15 17 9 14 11 0 Cust 6 20 23 15 20 16 6 0 Cust 7 17 22 13 20 16 5 4 0 Cust 8 8 17 9 19 16 11 14 10 0 Cust 9 6 18 12 22 20 17 20 16 6 0 Cust 10 16 23 14 22 19 9 8 4 8 14 0 Cust 11 21 28 18 26 22 11 7 6 13 19 5 0 Cust 12 11 22 14 24 21 14 16 12 5 7 9 13 0 Cust 13 18 28 19 28 25 15 13 10 11 14 6 8 8 0

Clustering: Distance Matrix

S(6,11)=Dist(W,6)+Dist(W,11)-Dist(6,11)=20+21-7=34

Page 44: 1 utdallas.edu/~metin Managing Transportation in a Supply Chain Chapter 13 Sections 4.3, 4.4 and 4.5

44utdallas.edu/~metin

Truck Cust 1

Cust 2

Cust 3

Cust 4

Cust 5

Cust 6

Cust 7

Cust 8

Cust 9

Cust 10

Cust 11

Cust 12

Cust 13

Cust 1 1 0 Cust 2 2 11 0 Cust 3 3 21 15 0

Cust 4 4 18 15 28 0

Cust 5 5 10 14 18 19 0 Cust 6 6 9 13 17 19 29 0 Cust 7 7 7 12 14 16 27 33 0

Cust 8 8 3 7 6 7 12 14 15 0 Cust 9 9 0 2 1 1 4 6 7 8 0 Cust 10 10 5 10 11 12 22 28 29 16 8 0 Cust 11 11 5 11 12 14 25 34 32 16 8 32 0

Cust 12 12 1 5 4 8 12 15 16 14 10 18 19 0 Cust 13 13 2 7 7 8 18 25 25 15 10 28 31 21 0

Clustering

Largest saving 34, combine 6 and 11: consumed capacity 107.Largest saving 33, combine 7: consumed capacity 163.Largest saving 32, combine 7: Not possible. Already in the route.Largest saving 32, combine 10: Not possible. Lack of capacity.

Page 45: 1 utdallas.edu/~metin Managing Transportation in a Supply Chain Chapter 13 Sections 4.3, 4.4 and 4.5

45utdallas.edu/~metin

Clustering with savings matrix

Attempt to combine different routes with the highest available saving

– If load is over capacity, reject the combination

– Else accept the combination and make savings unavailable

Truck routes: {1,3,4}, {2,9}, {6,7,8,11} (=fills truck by 193/200) and {5,10,12,13}

Page 46: 1 utdallas.edu/~metin Managing Transportation in a Supply Chain Chapter 13 Sections 4.3, 4.4 and 4.5

46utdallas.edu/~metin

Clustering: Generalized Assignment MethodSkip to page Traveling Salesman Problem

Assign seed points for each route

– Seeds: Center of retailers in the route» Seeds do not exist, we imagine them to compute costs

– Sweep clockwise by to obtain cones to assign seeds

– Seed is at (dmax, /2) where dmax is the distance from origin to the furthest demand point in the cone

Evaluate insertion cost for each customer i and seed k

– cik=Dist(DC,i)+Dist(i,Sk)-Dist(DC,Sk)

where DC is a seed. Assign customers to routes with an Integer Program

Page 47: 1 utdallas.edu/~metin Managing Transportation in a Supply Chain Chapter 13 Sections 4.3, 4.4 and 4.5

47utdallas.edu/~metin

How Much to Sweep

For every cone sweep as much as possible before going over the transportation (truck) capacity bk

What if for same demand point i:– If i is not included, below capacity

and if i is included above capacity» Use the ArcTan method of the book

» Decide ad hoc, remember you are not making the final call here. The final assignments and cluster construction is by the Integer Program.

Page 48: 1 utdallas.edu/~metin Managing Transportation in a Supply Chain Chapter 13 Sections 4.3, 4.4 and 4.5

48utdallas.edu/~metin

Assign Customers to Routes

Using either savings matrix or generalized assignment we obtain the clustering.

Min c y

ST

y

a y b

ik iki

n

k

K

ikk

K

i iki

n

k

11

1

1

1

0 1

:

,

For all customer i ' s

For all truck k ' s

yik

Page 49: 1 utdallas.edu/~metin Managing Transportation in a Supply Chain Chapter 13 Sections 4.3, 4.4 and 4.5

49utdallas.edu/~metin

Traveling Salesman Problem Routing by Construction

Traveling Salesman Problem, construction heuristics:– Farthest insert: Given a trip and customers to be inserted,

obtain the best way to insert each customer. Insert the customer giving the longest trip.

– Nearest insert: Exactly the same as farthest insert, except that the customer giving the shortest trip is inserted.

– Nearest neighbor: Insert the nearest neighbor.– Sweep: Insert in the order of a sweep.

Sweep needs a picture

Page 50: 1 utdallas.edu/~metin Managing Transportation in a Supply Chain Chapter 13 Sections 4.3, 4.4 and 4.5

50utdallas.edu/~metin

Routing by Improvement

Traveling Salesman problem, route improvement– 2-Opt, cuts into two paths, how many ways to join?– 3-Opt, cuts into three paths, how many ways to join?

– Both needs a route to begin with. They cut and paste pieces of routes to improve the total length of the tour.