Question: 6. (4 points) Consider a variant of linear programming where in addition to original linear constraints, we are also allowed to have constraints of the

6. (4 points) Consider a variant of linear programming where in addition to original linear constraints, we are also allowed to have constraints of the form a1x1++anxn=b where a1,,an,b are numbers, and x1,,xn are variables. Let us call such a program, an Absolutevalue Program. For example, the following is an Absolute-value Program. max3x4y+z+3ws.t.5xz+3w62xy+2w7x+y2w=3x+5yw=10y0z0w0 Prove that Absolute-value Programming is NP-complete. More precisely, prove that the following problem is NP-complete: - Input: A maximization Absolute-value Program and an integer k. - Question: Does the optimal solution to the program have cost at least k

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Databases Questions!

6. (4 points) Consider a variant of linear programming where in addition to original linear constraints, we are aloo allowed to have constraints of the form a1x1++anxn=b where. a1,,an,b are numbers,...

I need help with the following questions. I have 45 minutes to submit it! What is the optimal solution for the following problem? Maximize P = 3x + 15y subject to 2x + 4y 12 5x + 2y 10 and x 0, y 0....

A company produces two products that are processed on two assembly lines. Assembly line 1 has 1 0 0 available hours, and assembly line 2 has 4 2 available hours. Each product requires 1 0 hours of...

Solving Two-stage Robust Optimization Problems by A Constraint-and-Column Generation Method Bo Zeng Department of Industrial and Management Systems Engineering University of South Florida, Email:...

Submitted to Management Science manuscript MS-0001-1922.65 Authors are encouraged to submit new papers to INFORMS journals by means of a style file template, which includes the journal title....

Planning Demand and Supply in a Supply Chain Capacity Planning and Assignment 1 utdallas.edu/~metin Outline Capacity Planning Product-to-plant Assignment utdallas.edu/~metin 2 Deterministic Capacity...

Due Sunday, 11/20: Problems from Zimmerman text: 2-11, 2-44, Case 2-3, 7-7, and 7-20 Chapter Two The Nature of Costs Chapter Outline A. Opportunity Costs 1. Characteristics of Opportunity Costs 2....

Final Paper Instructions/Guidelines: The final paper must be a minimum of 5 pages and a maximum of 7 pages in APA format. You can find APA guidelines in the Week Six folder under final paper tips....

Module 9 Assignment: TOC Answer all the questions and submit your answer report to Module 9 Assignment in Dropbox by the deadline . The report should be typed, single spaced, in one MS Word file. You...

Supply Chain Management Introduction Outline What is supply chain management? Significance of supply chain management. Push vs. Pull processes utdallas.edu/~metin 1 A Generic Supply Chain Sources:...

Draw a cash flow diagram for the following cashflow: YEAR Receipts (S) Disbursements ($) 0 2 3 4 1,000 0 0 2,000 2,000 1,000 4,750 0 0 0

Athletic X-Press Sporting Goods began operations March 1, 2016. The firm sells its merchandise for cash; on open account; to customers using bank credit cards, such as MasterCard and VISA; and to...

Smart Search History Starfish Success Study.com The maximum time - weighted concentration at which 9 3 % of exposed healthy adults suffer no adverse effects over a 4 0 - hour work week.

Compared with half a century ago, adoption has become _ _ _ _ _ _ _ _ _ common, but it is more open and acceptabl e , so we probably discuss it _ _ _ _ _ _ _ . fill in the blanks more or much less or...

1. Put the acknowledgment up front. Set up the handbook so that employees must first read all disclaimers and complete an acknowledgment before gaining access to the handbook contents.

1. Counseling: The goal of this phase is to heighten employee awareness of organizational policies and rules. Often, people simply need to be made aware of rules, and knowledge of possible...

6. Design the rollout strategy and communication plan. Determine whether to go live right from the start or to use a pilot test of the process first. Decide how to get the word out to managers and...