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CoordinatesPlanetx-Coordinate in 1013 Km from earthy-
Coordinate in 1013 Km from earthz-Coordinate in 1013 Km
from earth1-50494423590-343-76815948377135-21-71716577-
207-3166-328-7571-219-514774108779161146647612-
30648413-6013-7314-876825151397-741641-807717-9580-
3918-36-75-701940-1007207954-172159-155222586-6323-26-
926924-72384325-1625-472698-22-92791-19682875643529-26-
62-773099-82-433163-34303251-58313383504634-949-
12354091-95361947263769-38-638411039-6344-7940-43-
778841-91595842-35-6364346807144-20-511145-52-25-3646-
967933479065164845-45349-71-524650-22503251-4072-6852-
19-33515380-163254-83562055-57953756351625757-12-1158-
19-99-3959-35-44-3960-4087-8961-27937962-11-20363-14-
565264-31-489265-53653966-98183167-32628468-3164-4069-
87-72167064-983071-8810-827247-77273-21-26157481-
341175-2973-5076-40-69327720-538278-3311-227993-48-
1380987449816295-2482-21-86-48380-8-684-98-35-
51858291808633296872688886362-59897536-4590-92-93-
4891-30-32959245-72-499370-79-9894-5531-599588-36-
309617-50-599754-61679848-22-7899-9844-6410095-91-
1510122-7487102-96-66-82103-4-31351045173-26105-48-
779106-45-9836107-880-45108-15-7-30109-49-48-4911070-
122111-55-5517112100-38111138412-76114-4-83-
8115584561169195-99117-5268100118-73-78-93119-525-
27120-976298121-91-78712289-95-3912355-42-75124-14-
891412556-9166126-39173127141-1512854-45-7912997-83-
9130-5267-63131-71-4225132692-431334707513469025135-
759210136-3932-913751149138-56-83-10013910036-271405-
2844141-22-725214263304214389-13-2614429669145-74-
7131146226846147-8624-85148-66381314917-51851504050-
461518285-22152-9512-2115338553315486118015531-
1771567190-91157-340-9215812-43-7615973-30-42160-
268271161-62-66231625454-281638383-3164603995165-
9512116653-8536167-65-5664168-513217169-61562417086-54-
62171491529172-38-150173126-13174-
52946317580881117640-631177-98-15-2017820-77817951-3-
911809123318124-46-318227-249218380-7337184-12-7941185-
84-656718671-435918710-9230188-169984189268-1119085-16-
7119196-95-94192-35-87193-618-76194-967-7019519-25-
72196-976-119721-31-4198357729199-598676200-153-
5020154648202768412033926-2204-83-16-32205-6399-83206-
3812-7920790149020897246420915-5414210-6832892117286-
92212-90-41-2821358-776214593227215-9631-8821690-
7246217-2082-18218-69100-152199885-99220-91-62-
4522158977222-707-10022311-29-5422431-822531-34-73226-
51583227-42-339228-75-1-51229-8691-5823046-24-6923170-
39-64232-98-17-1023345-69-3623479-88-223557-38-56236-28-
2-1523722-591238-48-91-94239458345240-32-64-67241-
57912224267-1171243-98-45-36244-1067824542-6527246-
843773247-2545-2248-4797-7924996-781725021-77-31251-52-
708625265-76-982533-387725491004225524-24-
292562639125740-60-925851-5-822598040-16260-4912772619-
98-272625133-4326395-32-2626420-9854265-224519266-97-
87-592675461-5426849100-582694-8931270-98-41-60271-40-
124227283-1310273-14-15-362742112-63275-2-7092769-26-
3927734-992278-37-679827924-91512804-19-83281-
919054282-50-83528324-42452849622-2285-5739-83286-
697855287-576722288378-9228949-
94529050424291598033292-1752-63293-8790882947370-
36295972684296-97-355129766-23-89298-91-88-7299-
48456300-6737-49301-8655993021223-81303-66-1514304-
7992-9530568498306-8796-8430727-602530871-45-81309-
924989310-2855-15311-578466312-19764131311-3578314-
6997-43315-31374631615-297317-25-8420318-238274319755-
7232089-128332169-368832212-11-64323-83-32-92324-
745172325-7338993265-71-24327-7825-90328-7223-7329-22-
6318330-33-1972331286531332-6830-30333-93-6-3433481-46-
1833561778433676-66-2033780-155933876-3983339-
164892340-13-482534171-43-37342-58-57-934395-5364344-
1938-51345811521346-7-2784347-90-16-83348-21-5955349-80-
8475350-58-64673514731-20352-7485-27353-65-49100354-77-
4267355-458-45356-54-656935738-14-84358-788-100359-
21865136049-937361-8856363624544-92363-668-4936414-
2748365-21-4979366-9753-40367-61582368122-3369-6352-
4637031860371584-18372-87-3274373-33-41-
8437426534337543599137619-94853774056-7637861-55-
1437952-65-838086-84-173819994-8382-6915238399-9-23384-
75405538515-86-25386-96798387-96-81-39388-72-30-5938991-
93-4339082-3-973916565-83392-98-74-98393-10-737739426-
53-93395-4349-8839629-281139749-4261398884-32399-
8924400-2694-83
DispatchCapacity (C):800 x 106 m3# Resources
(R):100Resource Number Volume (Vr) in m3 per unitMin. units
per planet per trip (Lr)Level of significance (Sr) per
unit1575208427811315371613264873185595718196217173074
82188283876253920810171037213241146448461273319561313
28189114309104915173425251628312841716833436186561416
19314172520552185721261103922354204623685146245571860
25838228266211573273582084287572067292841583019029754
31406137324091126339721092348351679352351243648218137
21617823858512633960519584024716844185316644276510374
36150214424611904558614584652420864743413494875611644
91918287050729208951862203952922124253960138754725188
25555819155651015715770715535868927175986319526023610
25616761585627411349634321510646961011655131550664111
43367655193468545119969567194670645197711705974672396
19447317043498743291938751897128676922202977437205278
12979347961717680712159881163760168237414238321616228
42428248854561571863691559871738123588301179489942187
89020715299151918989215877738938491255942910936953091
39196814154397496104298767135899172938201008172037
Satellites-1PlanetMaintanence cost per year (CMp) in millions
dollars14982949354844255306687076678533918910691112621
21361314714940156411635717299187291982220614217072296
72321424423259322636727872882294413049131679329813368
03495035233362283746938285392994063141979427074371344
47445536469304762048729498135068515155281253189542145
54125647573445854259869606756178662797638786420265618
66649677086816069119705277193472697329174256758477654
47740878554794448016981303822678317784481853728640687
83088120891689025691235923859371194844955909691097136
98402994461009391016041023281034011044971058581067301
07429108389109449110348111610112443113772114156115721
11612511790118425119693120934121889122876123746124491
25571126835127525128303129393130421318181328651338491
34461135595136860137478138961139820140271141321421501
43734144688145110146932147143148828149701506861517301
52623153891543131557021567871575771589741598781607261
61702162661163137164291165599166673167296168308169902
17062517123317234717393517490217572817657917725217849
71795581804181817981824691831318410018577718686187679
18849518975319026419168119220319336419489219533419636
01977491986531993922007952012122021322033592047612053
53206967207765208912209493210929211308212900213707214
98321525921697321738821813521966922049922112222346223
57922475922575922641022778122846422930423050723125823
28252339142345472354023676423743123858023969324078224
18922427502434924422824517124635624737224836824951025
03842518562522902538732549162554212566512572625880259
67626055526141026296626380226425426516526673726729226
84572698582709612714082728072734282745002751162766252
77270278582279624280326281933282179283123284920285655
28674428718028813428991829090929155529268629337929492
12952952966082974429894629972530030301424302134303100
30417130533230675430742308668309682310596311229312841
31390831480131552831656931725031876231976032046332140
32297432387032448532540132685132717832895032990633055
33166633274233325033425335202336743337583338662339497
34098734170234260343425344959345721346383473513485203
49212350335351638352524353302354850355211356612357355
35865235939036068636146636243736331536467736583836617
13679033686283692137099537136337258137319137494437593
53761943773183786723798038034838199138252938361938439
23854638677838757038881938951339097639137639258739347
039456039526396136397908398297399740400626
Satellites-2Hub Planetx-Coordinate in 1013 Km from earthy-
Coordinate in 1013 Km from earthz-Coordinate in 1013 Km
from earthRadius of the planet in 104 KmNeighbor Planetx-
Coordinate in 1013 Km from earthy-Coordinate in 1013 Km
from earthz-Coordinate in 1013 Km from earthRadius of the
planet in 104 Km-504944361-768159312-514774143-
876825174-723843165-915958156-225032367-835620108-
579537209-5365392610-32628419
Wormhole International Space Exploration (WISE) is an
international organization, formed by all
the countries of the earth. The main task of WISE organization
is to identify potential planets where
humans can settle and extend the civilization. The organization
was established after active
participation of all the countries. All the countries of the world
realized that the current rate of
population growth may be unsustainable by the available space
and resources on earth. Thus, WISE
was formed to identify potential planets that can provide basic
needs for humans. Human beings can
be deployed in such planets with constant support until they
establish sustainable system on the
planets. Once such system is successfully established, then the
planets can become autonomous. In
fact, the indigenous resources of the planet can enhance the
current potential of the human beings.
The organization is looking for Industrial Engineers (IEs) to
help in decision-making of this space
exploration project. Specifically, your team is formed by the
WISE organization to design a successful
plan for the implementation of Phase-1 space exploration
activities. The main objectives in Phase-1
are described as follows:
1. Design the optimal tour for the spaceships.
2. Optimize the amount of resources to be packed in the
spaceships.
3. Identify the hub planets and the location of satellites/relay
stations.
Relevant data and details are provided in the following pages of
this document. Since the organization
is unaware of the methodologies that you will be using to design
the plan, you are allowed to make
reasonable assumptions for the missing data. You are expected
to use the standards wherever
applicable. Your goal is to provide the organization with the
best possible solution.
Project No: ISE01610421
Start Date: Dec 11, 2016
Due Date: Jan 17, 2017
Course No: ISE-421-03
Instructor: Syed Mujahid
Contact: [email protected]
Phase-1
By the year 3000 AD, human population level on earth became
unsustainable due to the limited
amount of resources available on planet earth. Thus, all the
world governments agreed to form
Wormhole International Space Exploration (WISE)
organization. The goal of WISE organization is
to identify possible planets where humans can live with basic
support from the planet’s environment.
The scientists and researchers of WISE have discovered around
400 planets that can support human
race. The planets provide earth like atmosphere (air, land and
water). However, there are no living
creatures and no vegetation on the planet. Due to humongous
population growth, and limited space
and resources on earth, all the world governments agreed to
smoothly distribute human beings across
the planets.
With enormous efforts from international governmental
collaborations and hypersonic spaceships,
humans have been safely distributed across the planets.
However, now the main issues is their
sustenance. Apparently, it will take at least another 50 years for
the humans (deployed on the other
planets) to setup a livable sustainable system on the planet. The
system includes: agriculture, medicine,
industrial, academic, and defense sectors. In addition to that,
mining and exploring the planet for its
indigenous resources will be considered after Phase-1 of 50
years. Thus, the success of the space
mission relies heavily on the success of Phase-1.
The primary challenge of Phase-1 is to continuously supply the
400 planets with enough resources
from earth. It is estimated that at least for the next 20 years, the
resources must be shipped and
replenished to the planets on a regular basis. The primary
challenge can be divided into the following
objectives:
Objective-1: Design the optimal tour for the spaceships
Due to the resource limitations on earth, currently there are only
6 hypersonic spaceships on earth
that can be used in parallel for delivering the resources. The
aim is to find a closed tours for the
spaceships (starting and ending on earth) such that the
maximum distance travelled by each spaceship
is minimized (the planets should be visited only once by any
ship). In addition to that, using all the 6
ships simultaneously may not be wise, i.e., few ships can be
kept for the backup. Thus, the first
objective is to find the optimal length of the tour for the above
criterion when � ships are used, where
� = 1, … ,6. Based on the optimal length of the tours for
various values of �, the decision makers at
WISE will decide on the number of ships and tours to be used
for delivering the resources. The
coordinates of all the planets are provided in excel sheet titled
Coordinates under the excel workbook
DATA01610421.xls.
Objective-2: Optimize the amount of resources to be packed in
the spaceships
Once a ship is selected for dispatching the necessary resources
to a group of planets, it should be
packed efficiently with the resources. Each resource has a level
of significance per unit (on a scale of
1-100) for the survival of human race. The aim is to maximize
the total significance level of resources
that are packed on the ship. Each planet has a minimum
requirement per trip of the ship for each
resource that must be met for the survival of the people. The
capacity of the ship (C), the total number
of resources (R), minimum value per planet per trip (Lr), the
volume (Vr) per unit, and the level of
significance (Sr) for each resource are provided in the excel
sheet titled Dispatch, under the excel
workbook DATA01610421.xls.
Objective-3: Identify the hub planets and the location of
satellites/relay stations
This objective can be divided into the following sub-objectives:
(3a) In order to establish continuous communication with the
planets, WISE would like to install
satellites and relay stations. The aim is to build communication
among all the planets including earth.
Thus, a relay station on each planet must be built. In addition to
that, some planets will be selected to
maintain a satellite. That is, a satellite will be associated with a
planet (say hub planet). This satellite
can receive (or send) signals from (or to) relay station of the
other planets, if the distance between the
relay station and the hub planet is less than 50 × 1013 ��. The
objective is to find the set of hub
planets such that the total maintenance cost is minimized. The
cost of maintenance of the satellite at
each planet (CMp) is given in the excel sheet titled Satellites-1,
under the workbook
DATA01610421.xls.
(3b) In addition to that, finding the locations of the satellite and
relay stations is very crucial. In this
sub-objective, the focus in on identifying the location of the
satellites. The idea is to keep the satellite
near the hub planet, but also to minimize the total distance from
the other planets. Following figure
illustrates the scenario. The objective is to find the optimal
location of the satellite for the following
configuration of 1 hub planet and 10 neighbor planets. The data
related for the following configuration
is given in the excel sheet titled Satellites-2, under the
workbook DATA01610421.xls.
(3c) Finally, the location of the relay stations on the planet can
be obtained from the location of the
associated satellite. The focus of this sub-objective is to
identify the location of the relay station based
on the location of the satellite. For example, based on the
location of the satellite the nearest point on
the planet can be taken as the spot for building the relay
stations. For the following configuration of
1 hub planet and 10 neighbor planets, identify the location of
the relay station on all the planets in the
configuration. Ignore the rotations of the planets for this sub-
objective.
Hub
Planet
Satellite can be located
anywhere inside the
green region.
4 × 105��
satellite
Planet-1
Planet-2
Planet-10

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