Formulate the equations to determine the optimal shipments


Topic: Logistics and Supply chain management

Details:

Please provide the excel worksheet and show the method or formulas to the questions. Also don't worry about the word counts, as it is more analytical.

Problem 1:

ABC Corporation is a global distributor of electrical parts and components. Its customers are electronics companies in the United States, including computer manufacturers and audio/visual product manufacturers. The company contracts to purchase components and parts from manufacturers in Russia, Eastern and Western Europe, and the Mediterranean, and it has them delivered to warehouses in three European ports, Gdansk, Hamburg and Lisbon. The various components and parts are loaded into containers based on demand from US customers. Each port has a limited fixed number of containers available each month. The containers are then shipped overseas by container ships to the ports of Norfolk, Jacksonville, New Orleans and Galveston. From these seaports, the containers are typically coupled with trucks and hauled to inland ports in Front Royal (Virginia), Kansas City and Dallas. There are a fixed number of freight haulers available at each port each month. These inland ports are sometimes called "freight villages" or intermodal junctions, where the containers are collected and transferred from one transport mode to another. From the inland ports, the containers are transported to ABC's distribution centres in Tucson, Pittsburgh, Denver, Nashville and Cleveland. Following are the handling and shipping costs ($/container) between each of the embarkation and destination points along this overseas supply chain and the available containers at each port:

U.S. Port

European Port

 

 

 

 

Available
Containers

4. Norfolk

5. Jacksonville

6. New Orleans

7. Galveston

1. Gdansk

$1,725

S1,800

$2,345

$2,700

125

2. Hamburg

1,825

1,750

1,945

2,320

210

3. Lisbon

2,060

2,175

2,050

2,475

160

Inland Port

U.S. Port

 

 

 

Intermodal
Capacity (containers)

8.Dallas

9.Kansas City

10.      Front Royal

4.         Norfolk

$825

$545

$ 320

85

5.         Jacksonville

750

675

450

110

6.         New Orleans

325

605

690

100

7.         Galveston

270

510

1,050

130

 

 

 

 

 

Intermodal Capacity (containers)

170

240

140

 

Distribution Center

Inland Port

11.    Tucson

12.    Denver

13.    Pittsburgh

14.    Nashville

15.    Cleveland

8. Dallas

$ 450

$830

$ 565

$420

5960

9. Kansas City

880

520

450

380

660

10. Front Royal

1,350

390

1,200

450

310

Demand

85

60

105

50

120

1. Formulate the equations to determine the optimal shipments from each point of embarkation to each destination along this supply chain that will result in the minimum total shipment cost.

2. Solve the model using Excel Solver and provide the values of the variables used in the equations.

3. Assume that the Denver distribution centre becomes unoperational (due to a strike) and the responsibilities for this distribution centre are passed on to the Tucson distribution centre. Explain what changes you would make in the equations. Solve these equations using Solver and provide the values of the variables.

A separate Excel workbook with individual worksheets for each of 2 and 3 above would need to be provided.

Problem 2:

The time between arrivals of oil tankers at a loading dock at XYZ Bay is given by the following probability distribution:

Time between ship arrivals (days) Probability
1 0.05
2 0.1
3 0.2
4 0.3
5 0.2
6 0.1
7 0.05

The time required to fill a tanker with oil and prepare it for sea is given by the following probability distribution:

Time to fill and prepare (days)  Probability
3 0.1
4 0.2
5 0.4
6 0.3

1. Simulate the movement of tankers to and from the single loading dock for the first 20 arrivals. Compute the average time between arrivals, average waiting time to load and average number of tankers waiting to be loaded.

2. Discuss any hesitation you might have about using the simulation results for decision making (2 marks).

Problem 3:

Bozo is a small company that produces and distributes beer under the same label. The company is examining the possibility of penetrating the North Shore city area market. A bottling plant location that would serve the area is sought. A grid overlay is placed over the selling area as shown below. North Shore city is area E. The suburbs surrounding E are designated as A to I.

145_Bozo.png

A market research study shows the following potential demand for Bozo beer.

Area  Annual volume (cases)
A 10,000
B 5,000
C 70,000
D 30,000
E 40,000
F 12,000
G 90,000
H 7,000
I 10,000

Demand comes primarily from dealers that are scattered uniformly over the area. While the cost for transporting to areas A and B is 30 pence per case per mile, it is 20 pence per case per mile for the other areas.

1. If the centre- of-gravity approach is used, where should the bottling plant be located?

Problem 4:

The Hendon casket company supplies caskets to funeral homes in and around London. The location of the funeral homes in relation to the company warehouse is as given below.

131_Hendon casket company.png

Suppose that the funeral home locations (•) and associated number of caskets for each funeral home represent a single, daily despatch. If the company has six trucks with capacities of 20 caskets each, develop a routeing plan using the sweep method with a due north start. Place your design on the map.

1. How many trucks are actually used and what is the total travel distance for the route design (you may scale distance from the diagram).

2. What do you think are the advantages of using the sweep method vis-à-vis if the alternative (savings) method

No# of Pages: 5 pages (1,250 words)

Subject Area: Business Management

Paper Style: Harvard

Language: English (U.K)

Request for Solution File

Ask an Expert for Answer!!
Supply Chain Management: Formulate the equations to determine the optimal shipments
Reference No:- TGS01254330

Expected delivery within 24 Hours