Overview of Applications by Discipline ECONOMICS Estimating sensitivity of demand to price 47–56, Assessing a utility function 554–556 352–356 Estimating demand for products 632–638, Pricing problems 352–366, 422–427 649–650, 764–771, 965 Estimating cost of power 363–366 Subway token hoarding 792 FINANCE AND ACCOUNTING Collecting on delinquent credit accounts 14–16 Stock hedging 407–408 Cost projections 29–33 Asset management 409–410 Finding a breakeven point 33–41 New product development 503–504, 574, 673–676, Calculating NPV 57–62 715–722 Calculating NPVfor production capacity Bidding for a government contract 513–518, decision 58–62 523–533, 653–657 Portfolio management 173–178, 345–346, Investing with risk aversion 557–560 387–394, 442–444, 689–691 Land purchasing decision 575 Pension fund management 178–182 Risk analysis 582–583 Financial planning 210–214, 676–681, Liquidity risk management 651–653 734–735 Estimating warranty costs 657–661 Arbitrage opportunities in oil pricing 215–219 Retirement planning 681–685 Currency trading 220 Modeling stock prices 685–686 Capital budgeting 290–295 Pricing options 686–689, 691–693 Estimating stock betas 396–401 Investing for college 732 Hedging risk with put options 407–408 Bond investment 733 HUMAN RESOURCES AND HEALTH CARE Fighting HIV/AIDS 23–24 Selecting a job 484–492 DEAin the hospital industry 184–189 Selecting a health care plan 519–521 Salesforce allocation problems 454–456 Drug testing for athletes 535–538, 539–542 Assigning MBAstudents to teams 462 MARKETING Determining an advertising schedule 133–141, Classifying subscribers of the WSJ 450–453 373–376, 465–471, 480–483 New product marketing 543–552 Estimating an advertising response function 369–373 Valuing a customer 695–699 Retail pricing 422–427 Reducing churn 699–703 Estimating a sales response function 437–441 Estimating market share 703–706 Cluster analysis of large cities 445–449 Estimating sales from promotions 703–706 MISCELLANEOUS Investment in U.S. Space Systems 285–286 Prioritizing projects at NASA 463–464 Biotechnical engineering 576–577 OPERATIONS MANAGEMENT Queueing problems 4–7, 796–850 Airline hub location 309–314 Ordering problems (newsboy) 25–28, 604–613, Locating plants and warehouses 314–325, 617–631, 632–639, 649, 760–763 378–381 Ordering with quantity discounts 42–46, 747–748 Cutting stock problems 327–330 Manufacturing operations 71–72 Plant expansion and retooling 341–342 Choosing an optimal diet 75–92 Telephone call processing 343, 857–858 Product mix problems 98–107, 127–130, 168–172, Railway planning 411–412 298–307 Loading a gas truck 429–432 Production scheduling 108–117, 150–159, Traveling salesperson problem 454–457 432–437, 650 Determining trade–off between profit Production, inventory management 131–132, and pollution 477–479 499–501, 661–666 Airline boarding strategies 579–580 Scheduling workers 142–148 Deming’s funnel experiment 667–671 Aggregate planning 150–159 Global supply chain decisions 737–738 Gasoline, oil blending 161–166, 207–209 Economic order quantity models 743–758 Logistics problems 221–222, 223–234, 241–249 Ordering decisions with demand uncertainty Assigning workers to jobs 235–236 764–771, 773–778 Assigning school buses to routes 237–240 Production planning in fashion industry 779–784 Finding a shortest route 250–254 Reducing work in progress 793–794 Equipment replacement 254–258 Operations at banks 859–860 Airline crew scheduling 260–265 Scheduling multiple projects 861–862, 885–889 Airline flight scheduling 265–271 Project scheduling with CPM 865–885, 890–895 Aircraft maintenance 272 Forecasting problems 903–904, 910–919, 921–929, Global manufacturing and distribution 280–281 938–941, 944–956, 964–965 Motor carrier selection 282–284 SPORTS AND GAMES Rating NFLteams 382–386 Playing craps 708–710 NCAAbasketball tournament 710–713 This page intentionally left blank R EVISED 3 RD Practical Management Science E DITION Wayne L.Winston Kelley School ofBusiness,Indiana University S. Christian Albright Kelley School ofBusiness,Indiana University With Cases by Mark Broadie Graduate School ofBusiness,Columbia University Lawrence L. Lapin San Jose State University William D.Whisler California State University,Hayward Australia • Brazil • Japan • Korea • Mexico • Singapore • Spain • United Kingdom • United States Practical Management Science, ©2009, 2007South-Western, a part of Cengage Learning RevisedThird Edition ALL RIGHTS RESERVED. No part of this work covered by the copyright Wayne L. Winston, hereon may be reproduced or used in any form or by any means—graphic, S. Christian Albright electronic, or mechanical, including photocopying, recording, taping, Web distribution, information storage and retrieval systems, or in any other VP/Editorial Director: manner—except as may be permitted by the license terms herein. Jack W. Calhoun Editor-in-Chief: For product information and technology assistance, contact us Alex von Rosenberg at Cengage Learning Academic Resource Center,1-800-423-0563 Senior Acquisitions Editor: For permission to use material from this text or product, Charles McCormick Jr. submit all requests online atwww.cengage.com/permissions Further permissions questions can be emailed to Senior Developmental Editor: [email protected] Laura Bofinger Editorial Assistant: Library of Congress Control Number: 2008926488 Bryn Lathrop Student Edition PKG ISBN-13: 978-0-324-66250-4 Student Edition PKG ISBN-10: 0-324-66250-5 Marketing Communications Manager: Student Edition ISBN-13: 978-0-324-66251-1 Libby Shipp Student Edition ISBN-10: 0-324-66251-3 Marketing Manager: Student CD-ROM ISBN-13: 978-0-324-66252-8 Bryant Chrzan Student CD-ROM ISBN-10: 0-324-66252-1 Instructor’s Edition PKG ISBN-13: 978-0-324-66343-3 Content Project Manager: Instructor’s Edition PKG ISBN-10: 0-324-66343-9 Emily Nesheim Instructor’s Edition ISBN-13: 978-0-324-66342-6 Instructor’s Edition ISBN-10: 0-324-66342-0 Managing Media Editor: Matt McKinney South-Western Cengage Learning Senior Manufacturing Coordinator: 5191 Natorp Boulevard Diane Gibbons Mason, OH 45040 Production Service: USA ICC Macmillan Inc. Art Director: Cengage Learning products are represented in Canada by Stacy Jenkins Shirley Nelson Education, Ltd. Cover Designer: Lou Ann Thesing/Kathy Heming For your course and learning solutions, visit academic.cengage.com Purchase any of our products at your local college store or at our preferred online store www.ichapters.com Printed in the United States of America 1 2 3 4 5 6 7 12 11 10 09 08 To Mary,my wonderful wife,best friend,and constant companion And to our Welsh Corgi,Bryn,who still just wants to play ball S.C.A. To my wonderful family Vivian,Jennifer,and Gregory W.L.W. About the Authors S.Christian Albright got his B.S. degree in Mathematics from Stanford in 1968 and his Ph.D. degree in Operations Research from Stanford in 1972. Since then he has been teaching in the Operations & Decision Technologies Department in the Kelley School of Businessat Indiana University. He has taught courses in management science, computer simulation, and statistics to all levels of business students: undergraduates, MBAs, and doctoral students. He has also taught courses on database analysis to the U.S. Army. He has published over 20 articles in leading operations research journals in the area of applied probability, and he has authored several books, including Practical Management Science, Data Analysis and Decision Making, Data Analysis for Managers, Spreadsheet Modeling and Applications, andVBAfor Modelers.He jointly developed StatTools,a statistical add-in for Excel, with the Palisade Corporation. His current interests are in spreadsheet modeling and the development of VBAapplications in Excel, as well as Web programming with Microsoft’s .NETtechnology. On the personal side, Chris has been married to his wonderful wife Mary for 37years. They have one son, Sam, who is currently finishing a law degree at Penn Law School. Chris has many interests outside the academic area. They include activities with his family (especially traveling with Mary), going to cultural events at Indiana University, playing golf and tennis, running and power walking, and reading. And although he earns his livelihood from statistics and management science, his realpassion is for playing classical music on the piano. Wayne L.Winstonis Professor of Operations & Decision Technologies in the Kelley School of Business at Indiana University, where he has taught since 1975. Wayne received his B.S. degree in Mathematics from MITand his Ph.D. degree in Operations Research from Yale. He has written the successful textbooksOperations Research: Applications and Algorithms, Mathematical Programming: Applications and Algorithms, Simulation Modeling Using @RISK, Data Analysis and DecisionMaking, andFinancial Models Using Simulation and Optimization. Wayne has published over 20 articles in leading journals and has won many teaching awards, including the schoolwide MBAaward four times. He has taught classes at Microsoft, GM, Ford, Eli Lilly, Bristol-Myers Squibb, Arthur Andersen, Roche, PriceWaterhouseCoopers, and NCR. His current interest is in showing how spreadsheet models can be used to solve business problems in all disciplines, particularly in finance and marketing. Wayne enjoys swimming and basketball, and his passion for trivia won him an appearance several years ago on the television game show Jeopardy,where he won two games. He is married to the lovely and talented Vivian. They have two children, Gregory and Jennifer. Brief Contents Preface xi 1 Introduction to Modeling 1 2 Introduction to Spreadsheet Modeling 23 3 Introduction to Optimization Modeling 71 4 Linear Programming Models 131 5 Network Models 221 6 Optimization Models with Integer Variables 285 7 Nonlinear Optimization Models 345 8 Evolutionary Solver: An Alternative Optimization Procedure 411 9 Multiobjective Decision Making 463 10 Decision Making Under Uncertainty 503 11 Introduction to Simulation Modeling 579 12 Simulation Models 651 13 Inventory Models 737 14 Queueing Models 793 15 Project Management 861 16 Regression and Forecasting Models 903 References 966 Index 969 v This page intentionally left blank