Errata for Second Edition, First Printing

Similar documents
Errata for Second Edition, First Printing

Instructions for Section 1

MASSACHUSETTS INSTITUTE OF TECHNOLOGY HAYSTACK OBSERVATORY WESTFORD, MASSACHUSETTS

Integration Continued. Integration by Parts Solving Definite Integrals: Area Under a Curve Improper Integrals

, between the vertical lines x a and x b. Given a demand curve, having price as a function of quantity, p f (x) at height k is the curve f ( x,

UNIT # 08 (PART - I)

Lecture 11 Waves in Periodic Potentials Today: Questions you should be able to address after today s lecture:

Ch 1.2: Solutions of Some Differential Equations

Walk Like a Mathematician Learning Task:

Case Study VI Answers PHA 5127 Fall 2006

Chapter 16. 1) is a particular point on the graph of the function. 1. y, where x y 1

Quantum Mechanics & Spectroscopy Prof. Jason Goodpaster. Problem Set #2 ANSWER KEY (5 questions, 10 points)

Limits Indeterminate Forms and L Hospital s Rule

TOPIC 5: INTEGRATION

Multi-Section Coupled Line Couplers

CSE 373: AVL trees. Warmup: Warmup. Interlude: Exploring the balance invariant. AVL Trees: Invariants. AVL tree invariants review

Section 3: Antiderivatives of Formulas

a b c cat CAT A B C Aa Bb Cc cat cat Lesson 1 (Part 1) Verbal lesson: Capital Letters Make The Same Sound Lesson 1 (Part 1) continued...

INTEGRALS. Chapter 7. d dx. 7.1 Overview Let d dx F (x) = f (x). Then, we write f ( x)

Lecture contents. Bloch theorem k-vector Brillouin zone Almost free-electron model Bands Effective mass Holes. NNSE 508 EM Lecture #9

Using the Printable Sticker Function. Using the Edit Screen. Computer. Tablet. ScanNCutCanvas

Preview. Graph. Graph. Graph. Graph Representation. Graph Representation 12/3/2018. Graph Graph Representation Graph Search Algorithms

Oppgavesett kap. 6 (1 av..)

Minimum Spanning Trees

The Corrupting Influence of Variability

Module graph.py. 1 Introduction. 2 Graph basics. 3 Module graph.py. 3.1 Objects. CS 231 Naomi Nishimura

Winter 2016 COMP-250: Introduction to Computer Science. Lecture 23, April 5, 2016

ME 522 PRINCIPLES OF ROBOTICS. FIRST MIDTERM EXAMINATION April 19, M. Kemal Özgören

CIVL 8/ D Boundary Value Problems - Rectangular Elements 1/7

UNCORRECTED SAMPLE PAGES 4-1. Naming fractions KEY IDEAS. 1 Each shape represents ONE whole. a i ii. b i ii

Math 31S. Rumbos Fall Solutions to Assignment #16

PH427/PH527: Periodic systems Spring Overview of the PH427 website (syllabus, assignments etc.) 2. Coupled oscillations.

than 1. It means in particular that the function is decreasing and approaching the x-

MASTER CLASS PROGRAM UNIT 4 SPECIALIST MATHEMATICS SEMESTER TWO 2014 WEEK 11 WRITTEN EXAMINATION 1 SOLUTIONS

Mathematics. Mathematics 3. hsn.uk.net. Higher HSN23000

CONIC SECTIONS. MODULE-IV Co-ordinate Geometry OBJECTIVES. Conic Sections

Weighted Matching and Linear Programming

Computing and Communications -- Network Coding

Chem 104A, Fall 2016, Midterm 1 Key

CSE 373: More on graphs; DFS and BFS. Michael Lee Wednesday, Feb 14, 2018

FSA. CmSc 365 Theory of Computation. Finite State Automata and Regular Expressions (Chapter 2, Section 2.3) ALPHABET operations: U, concatenation, *

1 Introduction to Modulo 7 Arithmetic

Fractions. Mathletics Instant Workbooks. Simplify. Copyright

3 x x 3x x. 3x x x 6 x 3. PAKTURK 8 th National Interschool Maths Olympiad, h h

Fourier Series and Parseval s Relation Çağatay Candan Dec. 22, 2013

Random Process Part 1

UNIT 1 FUNCTIONS AND THEIR INVERSES Lesson 1.4: Logarithmic Functions as Inverses Instruction

Math 34A. Final Review

Continuous probability distributions

Homework #3. 1 x. dx. It therefore follows that a sum of the

Chapter 3 Fourier Series Representation of Periodic Signals

Best Approximation. Chapter The General Case

4.1 One-to-One Functions; Inverse Functions. EX) Find the inverse of the following functions. State if the inverse also forms a function or not.

Decimals DECIMALS.

Errata. Items with asterisks will still be in the Second Printing

Lesson 1.6 Exercises, pages 68 73

A Prey-Predator Model with an Alternative Food for the Predator, Harvesting of Both the Species and with A Gestation Period for Interaction

22.615, MHD Theory of Fusion Systems Prof. Freidberg Lecture 8: Effect of a Vertical Field on Tokamak Equilibrium

8. Linear Contracts under Risk Neutrality

Linear Algebra Existence of the determinant. Expansion according to a row.

Ch. 24 Molecular Reaction Dynamics 1. Collision Theory

The Theory of Small Reflections

Floating Point Number System -(1.3)

Floating Point Number System -(1.3)

Supplementary Materials

Searching Linked Lists. Perfect Skip List. Building a Skip List. Skip List Analysis (1) Assume the list is sorted, but is stored in a linked list.

Cambridge International Examinations Cambridge International Advanced Subsidiary and Advanced Level. Published

u x v x dx u x v x v x u x dx d u x v x u x v x dx u x v x dx Integration by Parts Formula

Part II, Measures Other Than Conversion I. Apr/ Spring 1

Finite element discretization of Laplace and Poisson equations

Problem Set 6 Solutions

ERDOS-SMARANDACHE NUMBERS. Sabin Tabirca* Tatiana Tabirca**

Introduction to Group Theory

Seven-Segment Display Driver

Practice Final Exam. 3.) What is the 61st term of the sequence 7, 11, 15, 19,...?

PHYS-333: Problem set #2 Solutions

approaches as n becomes larger and larger. Since e > 1, the graph of the natural exponential function is as below

Last time: introduced our first computational model the DFA.

THE EXISTENCE-UNIQUENESS THEOREM FOR FIRST-ORDER DIFFERENTIAL EQUATIONS.

4037 ADDITIONAL MATHEMATICS

PhysicsAndMathsTutor.com

On the Role of Fitness, Precision, Generalization and Simplicity in Process Discovery

FAO PENMAN-MONTEITH EQUATION: CALCULATIONS

Learning Spherical Convolution for Fast Features from 360 Imagery

dy 1. If fx ( ) is continuous at x = 3, then 13. If y x ) for x 0, then f (g(x)) = g (f (x)) when x = a. ½ b. ½ c. 1 b. 4x a. 3 b. 3 c.

Section 4.8. D v(t j 1 ) t. (4.8.1) j=1

CSE303 - Introduction to the Theory of Computing Sample Solutions for Exercises on Finite Automata

Elliptical motion, gravity, etc

( dg. ) 2 dt. + dt. dt j + dh. + dt. r(t) dt. Comparing this equation with the one listed above for the length of see that

du = C dy = 1 dy = dy W is invertible with inverse U, so that y = W(t) is exactly the same thing as t = U(y),

Chapter 0. What is the Lebesgue integral about?

The graphs of Rational Functions

12.1 Introduction to Rational Expressions

Properties of Integrals, Indefinite Integrals. Goals: Definition of the Definite Integral Integral Calculations using Antiderivatives

Math-3. Lesson 5-6 Euler s Number e Logarithmic and Exponential Modeling (Newton s Law of Cooling)

Theoretical Study on the While Drilling Electromagnetic Signal Transmission of Horizontal Well

f(x) dx, If one of these two conditions is not met, we call the integral improper. Our usual definition for the value for the definite integral

The Angular Momenta Dipole Moments and Gyromagnetic Ratios of the Electron and the Proton

1.2. Linear Variable Coefficient Equations. y + b "! = a y + b " Remark: The case b = 0 and a non-constant can be solved with the same idea as above.

Math 153: Lecture Notes For Chapter 5

Transcription:

Errt for Scond Edition, First Printing pg 68, lin 1: z=.67 should b z=.44 pg 1: Eqution (.63) should rd B( R) = x= R = θ ( x R) p( x) R 1 x= [1 G( x)] = θp( R) + ( θ R)[1 G( R)] pg 15, problm 6: dmnd of 3 pr wk should b dmnd of 6 pr wk pg 15, problm 7: costs $3 pr sht should b costs $15 pr sht pg 16, problm 9: holding costs, h t should b $1 pr month instd of $1 pr month pg 17, problm 11, lin 8: Th nt rvnu from notbook sl should rd Th nt profit from notbook sl pg 17, problm 13: This problm should rd s follows: Jill, th offic mngr of dsktop publishing outfit, stocks rplcmnt tonr crtridgs for lsr printrs. Dmnd for crtridgs is pproximtly 3 pr yr nd is quit vribl (i.., cn b rprsntd using th Poisson distribution). Crtridgs cost $1 ch nd rquir thr wks to obtin from th vndor. Jill uss (Q,r) pproch to control stock lvls. pg 147, Problm 9. Th ld tim for th gr (nd itm) should b 3 priods, for th pinion it should b two priods. Thr should b 1 pinions on hnd. pg 36, Figur 7.11: Th words bottlnck should b nonbottlnck in th lgnd, which should rd: TH(w): bs cs TH(w): incrsd nonbottlnck rts Thbst(w): bs cs Thbst(w): incrsd nonbottlnck rts pg 44, lin 8 (problm 1) Chng th words, lin bhvs ccording to th bst cs to procss tims r dtrministic (s in th bst cs ). pg 44, lin (problm ) Chng th words, th lins bhvs ccording to th worst cs to ll jobs r procssd t sttion bfor moving (s in th worst cs ). pg 44, lin 1 (problm 3) Chng th words, lin bhvs ccording to th prcticl worst cs. to procss tims r xponntilly distributd (s in th prcticl worst cs ). pg 45, lin 1 (problm 5) Th problm should rd, Ovr th pst thr months, th old lin hs vrgd 315 prts pr dy, pg 48, lin 1: Littl s lw (TH=CT/WIP) should b Littl s lw (TH=WIP/CT) pg 56, lins 8-9: Thus, both sttions hv nturl CV of c =σ /t =3.35/15.=.5. should b Thus, both sttions hv nturl SCV of c =(σ /t ) =(3.35/15) =.5.

pg 69, Footnot 1 should rd: This is bcus n 1 nu is th drivtiv of 1 n u, which w sw is qul to 1/(1-u). Sinc th drivtiv of th sum is th sum of th drivtivs, n 1 nu is qul to 1 th drivtiv of 1/(1-u), which is 1/(1-u). Notic tht this is only vlid s long s u<1, which ws lrdy rquird for th quu to b stbl. pg 7, lin 7: xct for th G/G/1 quu should b xct for th M/G/1 quu. pg 77, lin 4 (qution 8.41, first lin) chng c + c u WIPnb r t + t 1 u should b, c + c u WIPnb r t + t 1 u pg 78, lin 13, chng, Howvr, for smll buffrs, WIP will b clos to (but lwys lss thn) th siz of th buffr (tht is, b-1). to Howvr, for smll buffrs, WIP will b clos to (but lwys lss thn) th mximum in th systm (tht is, b). pg 78, Eqution (8.44) should b WIP < min{wipnb, b} pg 78, Eqution (8.45) should b min{wip CT > TH Pg 78, Eqution (8.47) on pg 78 should hv trm r s c + c + ( b 1) TH r ( c + c + b 1) nb, b} c + c + ( b 1) nd not TH ( c + c + b 1) Pg 81, lin 9: $8,538.358 should b $8,538,358 Pg 84, Problm 3: Th words on-hlf minuts should b 1.5 minuts. Pg 84, Problm 3, prt c: Th words, using both mchins A nd B. should b for both mchin A nd mchin B. pg 84, problm 6, prt c: chng th word bttry to sttion Pg 86, Problm 1, prt d. Rplc ii. Comput n uppr bound on th WIP in th systm. iii. Comput n pproximt uppr bound on th totl cycl tim.

iv. DELETE THIS PART. v. Prt v bcoms prt iv. Commnt on rducing vribility s strtgy. pg 37, lin : With lot splitting, it is bout hours should b With lot splitting it is bout 7 hours. Not tht th plot in Figur 9.5 for th cs with lot splitting (CT split, s = 5 hours) is lso incorrct. Th corrct figur is blow. pg 37, lin 4: nd 11 hours with lot splitting should b nd 14 hours with lot splitting. Not tht th plot in Figur 9.5 for th cs with lot splitting (CT split, s =.5 hours) is lso incorrct. Th corrct figur is blow. pg 37, lin 3: prts without lot splitting nd fiv prts with lot splitting) should b prts for both th cs without lot splitting nd th cs with lot splitting) pg 37, Figur 9.5 Rplc with: 9 8 7 6 Avg. Cycl Tim 5 4 CTnon-split s=5hr CTsplit s=5hr CTnon-split s=.5hr CTsplit s=.5hr 3 1 1 3 4 5 6 Lot siz pg 336, problm 5, prt c, th scond sntnc should b: Wht is th vrg cycl tim whn th btch sizs r ll qul to 1 (ssum c = 1)? pg 337, problm 9: Itm A rrivs t rt of 1 pr hour (not 3 pr hour). pg 364, problm 5 (b) i: c (1)=.5 should b c (1)=.5 ii: c (3)=.5 should b c (3)=.5

pg 364, problm 5(c): so tht t ()=1.5 should b so tht t ()=.5 pg 386, Equtions (1.1), (1.), (1.3) should rd σ.5 σ = = =.1118 X n 5 LCL = µ 3σ = 1 3(.1118) = 9.96646 UCL = µ + 3σ = 1 + 3(.1118) = 1.3354 (1.1) (1.) (1.3) pg 386, Figur 1.1: This figur plots rror brs nd outcoms for smpl siz of 1, instd of 5 s citd in th xmpl in th txt blow. Th plot with 5 should look lik th following: 1.1 1.8 Out of control (mn shift) 1.6 1.4 UCL 1. X br 1. 9.98 9.96 LCL 9.94 9.9 Assignbl cus vrition 9.9 5 1 15 5 3 35 4 Smpl Numbr pg 41, Figur 13.4 should show moving vrgs not xponntil smoothing. Th corrct figur is:

7 Dmnd 6 5 4 3 1 A(t) f(t): m=3 f(t): 1 3 4 5 6 7 8 9 1 11 1 13 14 15 16 17 18 19 Month pg 45, Eqution (13.13) should rd f ( t + τ ) = [ F( t) + τt ( t)] c( t + τ N), t + τ = N + 1,..., N pg 46, lin : nonssonl forcst should b nonssonl forcst for priod t+τ pg 46, lin : ssonlity fctor c(t) should b ssonlity fctor c(t+τ-n) pg 448, problm (c): prdict th closing pric for August 1,? should b prdict mor ccurtly th closing pric for August 1,? pg 486, problm 3: Componnt 1 of typ B jobs tks four nd on-hlf hours to rct th bottlnck should b Componnt 1 of typ B jobs tks four nd on-hlf hours to rch th bottlnck pg 55, Eqution 15.7, th d j in th dnomintor should b r j. pg 56, lin 13, 3 shop dys should b 43.7 shop dys pg 56, lins 6-8 should rd Using ths btch sizs rsults in n vrg cycl tim of 33.1 dys, dcrs of ovr 4 prcnt. Doing complt srch ovr ll possibl btch sizs shows tht this is clos to th optiml solution of 17, 17, 11 rsulting in 3.6 dys for vrg cycl tim. pg 577, problm 6: w will cll X nd Y should b w will cll A nd B. Also, in tbls, ll mntions to product X should b to product A nd ll mntions to product Y should b to product B. pg 677: Th following rfrncs r missing Kingmn, J.F.C. 1961. Th Singl Srvr Quu in Hvy Trffic. Procdings of th Cmbridg Philosophicl Socity 57: 9-4. Mdhi, J. 1991. Stochstic Modls in Quuing Thory. Boston, MA: Acdmic Prss.