Ask Question, Ask an Expert

+1-415-315-9853

info@mywordsolution.com

Ask Other Engineering Expert

Problem 1:
 
Telephone calls from New York to Los Angeles are transported as follows: The call is sent first to either Chicago or Memphis, then routed through either Denver or Dallas, and finally sent to Los Angeles. The number of phone lines joining each pair of cities is shown in table shown below. 
 
a) Formulate an LP that can be used to determine the maximum number of calls that can be sent from New York to Los Angeles at any given time.

b) Use the algorithm shown in class to determine the maximum number of calls that can be sent from New York to Los Angeles at any given time.

c) Use the fanning out procedure to show that the solution you obtained in (b) is optimal.

d) Use the max-flow min-cut theorem to show that the solution you obtained in (b) is optimal.

e) Solve the problem using an Excel spreadsheet.

1077_max flow fin cut.jpg

Problem 2:

Oilco has oil fields in San Diego and Los Angeles. The San Diego field can produce 600,000 barrels per day, and the Los Angeles field can produce 500,000 barrels per day. Oil is sent from the fields to a refinery, in either Dallas or Houston (assume each refinery has unlimited capacity). To refine 100,000 barrels costs $800 at Dallas and $1,000 at Houston. Refined oil is shipped to customers in Chicago and New York. Chicago customers require 500,000 barrels per day and New York customers require  400,000 barrels per day. The costs of shipping 100,000 barrels of oil (refined or unrefined) between cities are shown in table shown below. Not more than 400,000 barrels per day can be shipped between any two cities. 
 
a) Formulate a feasible minimum cost flow problem that can be used to determine how to minimize the total cost of meeting all demands. Provide both a network representation of the problem and an LP formulation.

b) Solve the problem using an Excel spreadsheet.

2282_LP formulation.jpg

Problem 3:

Consider the minimum cost network flow problem shown in Figure shown below, where the bi values (net flow generated) are given by the nodes, the cij values (costs per unit flow) are given by the arcs, and the uij values (arc capacities) are given on the side of the figure.

998_cost network flow.jpg

a) Obtain an initial basic feasible solution by solving the feasible  spanning tree with basic arcs A → B, A → C and B → D where one of the non basic arcs (D → C) is a reverse arc. Show the resulting network (including bi, cij and uij) in the same format as the one in the Figure (except use dashed lines to draw the non basic arcs), and add the flows in parentheses next to the basic arcs.
 
b) Use this initial solution to apply the network simplex method and solve this problem. What is the optimal flow allocation?

Other Engineering, Engineering

  • Category:- Other Engineering
  • Reference No.:- M95253
  • Price:- $60

Guranteed 36 Hours Delivery, In Price:- $60

Have any Question? 


Related Questions in Other Engineering

Exercise 1charity is a big business in the united states

Exercise 1 Charity is a big business in the United States. The Web site charitynavigator.com gives information on roughly 5500 charitable organizations, and there are many smaller charities that fly below the navigator's ...

Experiment specifications1turn on the pump and adjust the

Experiment Specifications: 1. Turn on the pump and adjust the control valve on the hydraulic bench, the exit valve of the flow meter demonstration unit and the bleed valve on the manometer manifold to bleed off all air b ...

Process descriptionyour job is to design heat exchanger cl

Process Description Your job is to design heat exchanger Cl for the process to produce aromatics from shale gas. Details of the process have been given in the handouts in CHE 300. Please use the stream and units numbers ...

Life cycle and risk management assignment 3 a

Life Cycle and Risk Management Assignment 3: A workplace-based report This assessment task involves collaborative team arrangement efforts and designed to explore engineering asset management as a system incorporating li ...

Time managementdiscuss some of the reasons why individuals

Time Management Discuss some of the reasons why individuals routinely over-estimate the time for project activities. How is this behavior detrimental to the schedule and project? Are some of these reasons more prevalent ...

A steam from a steame generator at 160 bar 540degc having a

A steam, from a steame generator at 160 bar, 540 ° C having a flow rate of 400 kg/s expands in a high pressure turbine with an isentropic efficiency of 90% to 40 bar. A 16 % of the exhaust steam is used for feedwater hea ...

Assignmentwhy program design is importantanswer the

Assignment Why Program Design is Important? Answer the following questions: 1. What is a program design? 2. Why program design is important? 3. What program design tools are available? Discuss in details by studying at l ...

Assignmentdiscussionanalog integrated circuits amp

Assignment Discussion Analog Integrated Circuits & Lab Filter Design Directions: Please answer BOTH of the questions and respond to a minimum of two of your classmates. Question A Discuss the various compromises that mus ...

Electronics i and labbridge rectifierintroductionthe lab is

Electronics I and Lab Bridge Rectifier Introduction: The lab is based on the previous lab from week 2 on half-wave and full-wave rectifiers and taking that knowledge to build a bridge rectifier. Materials and Equipment: ...

Assignmentdiscussionanalog integrated circuits amp

Assignment Discussion Analog Integrated Circuits & Lab Op-Amp Application and Datasheets Directions: Please answer BOTH of the questions and respond to a minimum of two of your classmates. Question A Discuss why it is im ...

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

Section onea in an atwood machine suppose two objects of

SECTION ONE (a) In an Atwood Machine, suppose two objects of unequal mass are hung vertically over a frictionless

Part 1you work in hr for a company that operates a factory

Part 1: You work in HR for a company that operates a factory manufacturing fiberglass. There are several hundred empl

Details on advanced accounting paperthis paper is intended

DETAILS ON ADVANCED ACCOUNTING PAPER This paper is intended for students to apply the theoretical knowledge around ac

Create a provider database and related reports and queries

Create a provider database and related reports and queries to capture contact information for potential PC component pro

Describe what you learned about the impact of economic

Describe what you learned about the impact of economic, social, and demographic trends affecting the US labor environmen