hw05solutions

hw05solutions - IEOR 162 Linear Programming Spring 2007...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
IEOR 162 Linear Programming Spring 2007 Homework 5 Solutions 3.review.50 (5 points) Data: c ij = distance between city i and incinerator j d jk = distance between incinerator j and landfill k p j = cost per ton for incinerator j w i = waste per day (in tons) for city i Variables: x ij = amount of waste to send from city i to incinerator j y jk = amount of debris to send from incinerator j to landfill k Formulation: min 2 i =1 2 j =1 ( p j + 3 c ij ) x ij + 2 j =1 2 k =1 3 d jk y jk s.t. 2 j =1 x ij = w i i = 1 , 2 (1) 2 j =1 y jk 200 k = 1 , 2 (2) 2 i =1 x ij = . 2 2 k =1 y jk j = 1 , 2 (3) x ij , y jk 0 i, j, k = 1 , 2 (4) 3.review.57 (5 points) Data: p i = price of fuel at location i d i = distance of leg i Variables: x i = amount of fuel to buy at location i y i = amount of fuel used on leg i I i = amount of fuel in plane’s tank at end of leg i Formulation: min 4 i =1 p i x i s.t. I 0 = 0 (1) I i 600 i = 1 , . . . , 4 (2) I i - 1 + x i 12000
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 2

hw05solutions - IEOR 162 Linear Programming Spring 2007...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online