Project 2
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School
New York University *
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Course
6103
Subject
History
Date
Dec 6, 2023
Type
Pages
8
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i. Read the following article first.
Commander Votachev steps into the cold October night and deeply inhales the smoke
from his cigarette, savoring its warmth. He surveys the destruction surrounding him
—
shattered windows, burning buildings, torn roads
—
and smiles. His two years of work
training revolutionaries east of the Ural Mountains has proved successful; his troops
now occupy seven strategically important cities in the Russian Federation: Kazan,
Perm, Yekaterinburg, Ufa, Samara, Saratov, and Orenburg. His siege is not yet over,
however. He looks to the west. Given the political and economic confusion in the
Russian Federation at this time, he knows that his troops will be able to conquer Saint
Petersburg and Moscow shortly. Commander Votachev will then be able to rule with
the wisdom and control exhibited by his communist predecessors Lenin and Stalin.
Across the Pacific Ocean, a meeting of the top security and foreign policy advisers of
the United States is in progress at the White House. The President has recently been
briefed about the communist revolution masterminded by Commander Votachev and
is determining a plan of action. The President reflects upon a similar October long ago
in 1917, and he fears the possibility of a new age of radical Communist rule
accompanied by chaos, bloodshed, escalating tensions, and possibly nuclear war. He
therefore decides that the United States needs to respond and to respond quickly.
Moscow has requested assistance from the United States military, and the President
plans to send troops and supplies immediately. The President turns to General
Lankletter and asks him to describe the preparations being taken in the United States
to send the necessary troops and supplies to the Russian Federation. General
Lankletter informs the President that along with troops, weapons, ammunition, fuel,
and supplies, aircraft, ships, and vehicles are being assembled at two port cities with
airfields: Boston and Jacksonville. The aircraft and ships will transfer all troops and
cargo across the Atlantic Ocean to the Eurasian continent. The general hands the
President a list of the types of aircraft, ships, and vehicles being assembled along with
a description of each type. The list is shown below.
Table 1. Type of shipment with the corresponding capacity and speed
Table 2. List of intermediate notes in the network; ports and airfields
All aircraft, ships, and vehicles are able to carry both troops and cargo. Once an
aircraft or ship arrives in Europe, it stays there to support the armed forces. The
President then turns to Tabitha Neal, who has been negotiating with the NATO
countries for the last several hours to use their ports and airfields as stops to refuel
and resupply before heading to the Russian Federation. She informs the President
that the following ports and airfields in the NATO countries will be made available to
the United States military. The President stands and walks to the map of the world
projected on a large screen in the middle of the room. He maps the progress of troops
and cargo from the United States to three strategic cities in the Russian Federation
that have not yet been seized by Commander Votachev. The three cities are Saint
Petersburg, Moscow, and Rostov. He explains that the troops and cargo will be used
both to defend the Russian cities and to launch a counterattack against Votachev to
recapture the cities he currently occupies. (The map is shown at the end of the case.)
The President also explains that all Starlifters and transports leave Boston or
Jacksonville. All transports that have traveled across the Atlantic must dock at one of
the NATO ports to unload. Palletized load system trucks brought over in the transports
will then carry all troops and materials unloaded from the ships at the NATO ports to
the three strategic Russian cities not yet seized by Votachev. All Starlifters that have
traveled across the Atlantic must land at one of the NATO airfields for refueling. The
planes will then carry all troops and cargo from the NATO airfields to the three Russian
cities.
Table 3. The length of paths connecting the nodes in the network
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Table 4. The demand at the destinations in Russia
Table 5. The cost of traveling associated to each path in the network.
Table 6. The maximum capacity of each path with plane.
Table 7. The maximum capacity of each path with trucks.
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ii. Answer the following questions in your response sheet, and upload
a pdf version of your response sheet on Moodle.
1) Draw a network showing the different routes troops and supplies may take to
reach the Russian Federation from the United States.
2) Find the shortest path between each US city (Boston and Jacksonville) and each
Russian city (St. Petersburg, Moscow, and Rostov).
a. You need to run six Excel files to find the shortest paths. Include a picture
of each of the Excel files in your response sheet.
b. List the shortest path to travel from US to each of the Russian cities. You
should define one path to each of the three Russian cities in your
response sheet, in total three paths. Each path can start from either
Boston or Jacksonville like;
Boston
→
City A
→
City B
→
…
→
Moscow.
3) Maximize the number of shipments from US to Russia. Include a picture of your
Excel sheet in your response sheet. What is the maximum number of shipments?
a. Table 5 shows the complete list of the paths in the network.
b. Use table6, table 7 and table 1 to define the maximum capacity of each
path per thousand tons.
c. Some paths do not have any limitations on the capacity.
d. You can use some conditions explained in part 4 only if it is needed (not
provided elsewhere).
4) Minimize the total cost of transportation from US to Russia considering the
following information. Include a picture of your Excel file in the response sheet.
For the list of paths to calculate total cost use table 5. Make sure that the supply
and demand is met.
a. Both in Boston and Jacksonville there are 500,000 tons of the necessary
cargo available.
b. Supply Saint Petersburg only through the air. See table 4 for the
demands.
c. Use table 5 for the cost of transportation per each path.
d.
Do not
use restrictions listed in Tables 6 and 7. Instead, only apply the
restrictions listed below in (e), (f) and (g).
e. Early winter weather in northern Russia has brought a deep freeze with
much snow. So, no truck is sent to St. Petersburg. Moreover, the truck
routes into Rostov are quite limited, so that from each port at most 2,500
trucks can be sent to Rostov.
f.
The Ukrainian government is very sensitive about American airplanes
flying through their air space. It restricts the U.S. military to at most 200
flights from Berlin to Rostov and to at most 200 flights from London to
Rostov. (The U.S. military does not want to fly around the Ukraine and is
thus restricted by the Ukrainian limitations.)
g. If the path is not mentioned in (e) or (f), there is no restriction on the
maximum vehicles (Truck, Ship or Airplane) for transportation on that
route. So, there is no capacity limitation on the routes that are not
mentioned in (e) and (f).