Question: Consider the problem LOAD-BALANCING, where one is given a set of n jobs of positive sizes T = {t1, t2,..., tn} and W, and

Consider the problem LOAD-BALANCING, where one is given a set of n jobs of positive sizes T = {t1, t2,..., tn} and W, and must determine if it is possible to split these jobs into two disjoint subsets T, T such that ter t W. Prove that LOAD-BALANCING is NP-complete. Hint: Give a reduction from SUBSET-SUM.

Step by Step Solution

★★★★★

3.48 Rating (155 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

To prove that the LOADBALANCING problem is NPcomplete we need to demonstrate two things 1 LOADBALANCING is in NP 2 LOADBALANCING is NPhard by reducing a known NPcomplete problem to it The hint suggest... View full answer

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 Chemistry Questions!

Planning is one of the most important management functions in any business. A front office managers first step in planning should involve determine the departments goals. Planning also includes...

Answer each part for the following context-free grammar G (a) What are the variables of G? (b) What are the terminals of G? (c) Which is the start variable of G? (d) Give three strings in L(G). (e)...

answer the question clearly You are building a flight-control system for which a convincing safety case must be made. Would you assign the tasks of safety requirements engineering, test case...

Inferring Investing and Financing Transactions and Preparing a Balance Sheet During its first week of operations ending January 7, 2011, FastTrack Sports Inc. completed six transactions with the...

It takes 5.2 min for a 1.000-g sample of 210Fr to decay to 0.250 g. What is the half-life of 210Fr?

121 Galaxy velocity study. Astronomical Journal (July 1995) did a study of galaxy velocities . A histogram of the velocities of 103 galaxies located in a particular cluster named A2142 is reproduced...

2. Model the use of tools; show students how you use an appointment book or calendar app on your smartphone to make plans and manage time, for example.

Avery Corporations northwestern factory provided the following information for the last calendar year: Beginning inventory: Direct materials ...... $50,800 Work in process ...... 58,500 Ending...

Mountain Sports, Inc., is a retailer that has engaged you to assist in the preparation of its financial statements at December 31, 2021. Following are the correct adjusted account balances, in...

A company using the periodic inventory system has the following account balances: Inventory at the beginning of the year, $3,896; Freight-In, $607; Purchases, $17,626; Purchases Returns and...

Tanjung Bidara Enterprise produces and supplies high-quality soap for the local market. The company employs 20 workers who are paid RM7 per hour. The workers work 20 days a month and the working...

Tom Pastorius and his wife Mary Beth started Penn Brewery, an authentic German microbrewery in Pittsburgh, Pennsylvania, in 1986. They built the brewery into a successful business, pro- ducing more...

ABC Electronics Corporation will be expanding its products by manufacturing power banks. It expects to sell these over a period of three years by updating their power bank models throughout the...

A scooter manufacturer wants to increase brand awareness on its website. What type of graphic should the company include on every webpage?

How can you use data to assist you with making appropriate business decisions? Will you use internal data, external data, or both?

TAX RATES AND ALLOWANCES 2019/20 Tax rates: Standard Rate Corporate Rate 15.0% 16.5% Progressive Rates First $50,000 First $50,000 Next $50,000 Next $50,000 Remainder 2.0% 6.0% 10.0% 14.0% 17.0%...

For liquid water the isothermal compressibility is given by; where r and b are functions of temperature only. If 1 kg of water is compressed isothermally and reversibly from I to 500 bar at 60(C. how...

Which compound in each of the following pairs would have the higher boiling point? Explain your answers. (a) (b) (c) (d) (e) (f) (g) (h) Hexane, CH3(CH2)4CH3, or nonane, CH3(CH2)7CH3 (i) OH or HO OH...

When pseudoionone is treated with BF3 in acetic acid, ring closure takes place and Î±-and Î²-ionone are produced. This is the next step in the vitamin A synthesis. (a) Write...

Show how 1-butyne could be synthesized from each of the following: (a) 1-Butene (b) 1-Chlorobutane (c) 1-Chloro-1-butene (d) 1, 1-Dichlorobutane (e) Ethyne and ethyl bromide

Let x be an exponential random variable with l = 0.5. Calculate the following probabilities: a. P (x 6) c. P (5 x 6) d. P (x 2) e. The probability that x is at most 6

When only the value-added time is considered, the time it takes to build a laser printer is thought to be uniformly distributed between 8 and 15 hours. a. What are the chances that it will take more...

True or false: The zero-ISI property exists only for pulses with raised cosine spectra.