Management Sciences (MSCI)

MSCI 512 Department of Management Sciences

Undergraduate Programmes

At the present time, the Department offers a programme option consisting of a package of four MS courses for students registered in any undergraduate programme in the Faculty of Engineering. The main objectives of this minor programme are to provide an awareness of the nature of managerial problems, to present some of the issues, concepts, and techniques related to these problems and to motivate the students to learn the scientific approaches to management. Although the courses emphasize practical problems, rigorous theoretical and conceptual approaches are presented. The structure of the four course package is based on the appreciation of the complexity of management problems and the importance of being introduced to the different principles, considerations and approaches of tackling them. In a programme of this nature, it is considered advantageous to have an overall appreciation of the nature of the problems rather than dealing, in some depth, with only a few of them. Therefore, the minor programme is intended to introduce several approaches and different considerations in relation to managerial decision making. Enrolment in these courses will start in term 3B and will be primarily for engineering students who will take all four courses offered.

Course Descriptions

(2 hours lecture and one hour lab per week)

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MSCI 406 Managerial Decision Making 1

The nature and context of managerial decision making, Elementary introduction to utility theory. Basic probability theory; review of important concepts. Strategies for decision. Criteria for decisions, including multiple objectives. Brief introductions to optimization. Examples from management problems.

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MSCI 407 Managerial Decision Making 2

Introduction to mathematical programming: linear programming, transportation, assignment and network models, dynamic programming. Examples from engineering management problems. Information requirements and problems for managers. Management information systems. Simulation studies.

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MSCI 405 Managerial Economics

The course is designed to give the student an appreciation of the usefulness of basic concepts from economics in managerial decision making. Topics considered will include costs, cost as foregone opportunities, accounting definition of cost, production as a process in time relating costs to benefits.

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MSCI 404 Organizational Behaviour

The course presents a systematic approach to the study of human behaviour in organizations. It synthesizes different concepts and findings from the behavioural sciences and shows their applications to business. More specifically the course deals with some manpower problems, i.e., selection, training, control, and motivation problems; with interpersonal and small group behaviour, norms and values, leadership and authority, and with organizational structure and change..

21 Applied Probability and Statistics

23 Engineering and Managerial Economics

31 Industrial Statistics and Design of Experiments

43 Economics of Enterprise and Benefit/Cost Analysis

44 Industrial Psychology

46 Stochastic Models of Industrial Operations

Department of Management Sciences 513

Production Industrial Option

A new option offered jointly with the Mechanical Engineering Department, to allow for specialization in Production and Industrial Engineering.

Course Descriptions 3 hours lectures and I hour lab per week

Axiomatic development of probability. Conditional probability, Bayes’ Theorem and independence. Permutations and combinations as related to probability. Discrete and continuous random variables. Special cases of uniform, binomial, Poisson, normal, etc. distributions. Mathematical expectation and moment generating functions. Derived distributions. Sampling from a normal population. Elements of decision theory. Various methods of estimating parameters and testing hypotheses..

Application of the concepts of efficiency and costs to engineering and management decision making. Choice of inputs and processes. Evaluation of capital projects. Examples will include make or buy decisions and replacement of equipment decisions.

Linear statistical models. General regression theory and industrial applications. Design of orthogonal experiments and industrial applications. Correlation co-efficient analysis. Elementary time series analysis. Finite population sampling and sample survey . methods..

Applications of models of household and enterprise behaviour to private and public decision making. Seller strategy in consumer and industrial markets. Valuation of nonmarket goods. Examples will include use of buyer behaviour data to determine market

.segments, use of history of competitor behaviour to determine

bidding strategy, and evaluation of a public investment.

Considerations of perception, cognition, motivation, job attitudes, and job satisfactions. Discussions of the measurements of performance and procedures for selection to match worker and job. A review of psychological and physiological costs and benefits

of work.

(Cross listed as Psychology 333)

Definition and classification of stochastic processes. Detailed analysis of Markov processes including analytic (generating functions) and graphical methods. Recurrent events including birth and death processes, branching processes and random walks. Waiting line models and their applications. Markovian decision problems. Application areas include inventory control, reliability, equipment replacement, maintenance, design of service facilities, reservoir control, etc.

Prerequisite: MS2]

47 Optimization Models for Policy Analysis

51 Systems Simulation

52 Management Information Systems

53 Decision Theory and Organization

Department of Management Sciences

Basic formulations and methods of linear optimization. Perturbation analysis. Imputed costs and benefits. Special applications: transportation, goal programming, decentralization through transfer prices, multiple objectives. Integer linear programming, zero-one, and network flow problems. Linearization techniques. Projected gradient methods; applications in gradratic programming. Introduction to chance-constrained linear programming.

Systems as multicomponent, bounded interacting objects. Conservative and non-conservative systems. Physical and mathematical analogues and models. Model formulation and computability: Simulation as iterative approximation of non-provable convergence. Event distribution models and Monte Carlo simulation, with industrial examples. Cybernetic (or dynamic) simulation, with industrial examples.

The information system as a component of the organization; relation to the management process; role in support of decision making; data and information in the organization; components of an information system; data bases; computer support: human consideration in implementation. Industrial examples as supporting case material.

Group interactions and the problems of industrial macroorganizations. Discussion of organizational decision-making and control processes, with particular emphasis on the relevant theories of structural relations of organizations.

Professor and Chairman of the Department Distinguished Professor

Professors

Associate Professors

Assistant Professors

Director of First Year Studies in the Faculty of Math

Director of Computing Centre

(part-time)

Lecturers

Faculty of Mathematics 515

Faculty of Mathematics Department of Applied Analysis and Computer Science

P.C. Fischer, M.B.A.(Michigan), Ph.D(M.LT.), F.S.A. (On Sabbatical Leave, 1974-75)

J. Aczel, Ph.D.(Budapest), Habil. D.Sc.(Hung. Academy of Sciences), F.R.S.C..

J.A.. Brzozowski, M.A.Sc.(Toronto), Ph.D.(Princeton)

B. Forte,! Ph.D.(Pisa), Habil. D.Sc(Rome)

C. Froese Fischer (Mrs),2 M.A.(U.B.C), Ph.D.(Cantab.) (On Sabbatical Leave, 1974-75)

J.W. Graham, M.A.(Toronto)

H. Haruki, Ph.D.(Osaka)

J.D. Lawson, B.A.Sc.(Toronto), Ph.D.(Waterloo), F.1.M.A. M.A. McKiernan,2 M.A.(Loyola), Ph.D«(1L.1.T.)

T. Pietrzykowski, M.A.(Warsaw, Ph.D.(Polish Academy of

_ Sciences) .

D.D. Cowan, B.A.Sc.(Toronto), Ph.D.(Waterloo)

K. Culik, M.Sc., R.N.Dr(Charles University, Prague), Ph.D. (Czechoslovak Academy of Sciences)

W.M. Gentleman,3 B.Sc.(McGill), Ph.D.(Princeton)

J.A. George, M.Sc.(Alberta), Ph.D.(Stanford)

P.L. Kannappan, B.Sc.(Annamalai), Ph.D.(Washington)

(On Sabbatical Leave, 1974-75)

J.G. Linders, M.A.Sc.(Toronto), Ph.D (Imperial College) E.G. Manning, M.Sc.(Waterloo), Ph.D Illinois) .

R.B. Simpson, M.A.Sc.(Toronto), Ph.D.(Maryland)

E.A. Ashcroft, B.A.(Cantab.), Ph.D.(Imperial College) R. Benesch, M.Sc.(Alberta), Ph.D.(Queen’s) P.C. Brillinger, B.A.(McMaster), M.A (Waterloo)

P.H. Dirksen, M.A.(Waterloo)

K.O. Geddes, B.A .(Saskatchewan), M.Sc., Ph.D.(Toronto).

J.F. Gentleman (Mrs.),3 B.S.(Math., M.S.Stat.Chicago), Ph.D. (Waterloo)

M. Malcolm, B.Sc.(Denver), M.S(Denver|Stanford), Ph.D. (Stanford)

D.E. Morgan, B.Sc.(Rose Polytechnic Institute), M.S.Michigan), Ph.D (Waterloo)

J.I. Munro, B.A. Hons. Math(New Brunswick), M.Sc.(U.B.C.), Ph.D. Comp.Sc(Toronto)

C.T. Ng, B.Se.(Chinese University, Hong Kong), Ph.D.(Waterloo) R.W. Peebles, B.Sc.(McGill), Ph.D (Pennsylvania)

E.L. Robertson, B.Sc.(California Inst. Tech.), Ph.D.(Wisconsin) L.D. Rogers, B.Sc.(McGill), Ph.D.Waterloo)

J.H. Vellinga, B.A.(Western), M.A.(Waterloo)

V.A. Dyck, M.Math.(Waterloo) MI. Irland, M.S.Comp.Sc.(Illinois), M.Phil.(Waterloo)

Research Associates

Research Assistant Professor

Postdoctoral Fellow

Professor and Chairman of the Department

Professors

Faculty of Mathematics

EJ.H. Chang, M.D.(U.B.C.) R.T. Moenck, B.Sc.(Sussex), M.Sc., Ph.D.(Toronto)

P. Kritzinger, M.Sc.Eng.(Witwatersrand), Ph.D.(Waterloo) T.S.E. Maibaum, B.Se.(Toronto), Ph.D.(London)

Faculty Members holding cross appointments as shown 1 Applied Mathematics and Statistics and A.A.C.S.

2 Applied Mathematics and A.A.C.S..

3 A.A.C.S. and Statistics

Department of Applied Mathematics

D.G. Wertheim, B.A.(McMaster), M.A.Toronto), Ph.D.(Toronto)

c

C. Froese Fischer (Mrs),! M.A.(U.B.C.), Ph.D.(Cantab.) (On Sabbatical’ Leave, 1974-75) B. Forte, 1 Ph.D.(Pisa), Habil. D.Sc.(Rome)

- F,O. Goodman, B.Sc.(London), Ph.D.(London), D.Sc.London).

Associate Professor, Associate Dean of Faculty of Math

Associate Professors

Associate Chairman of the Department

Assistant Professors

F Inst.P. M.A. McKiernan,! M.A (Loyola), Ph.D. (L1.T.)

C.F.A. Beaumont, B.A.(McMaster), M.A.(Toronto)

J. Cizek,3 R.N.Dr.(Charles University, Prague), C.Sc. (Czechoslovak Academy of Sciences, Prague)

J. Froese, B.A.(Manitoba), M.A.(Queen’s), Ph.D.(U.B.C.) W.H. Hui, B.Sc.(Peking), Ph.D.(Southampton)

GJ. Lastman, M.A (U.B.C.), Ph.D (Texas)

(On Sabbatical Leave, 1973-74)

D. Lovelock, Ph.D.(Natal,Durban)

F.R. McCourt,? B.Sc., Ph.D.(U.B.C.)

IJ. McGee, B.A.Sc.(Toronto), M.Sc.(Waterloo), Ph.D.(Yale) (On Sabbatical Leave, 1974-75)

J. Paldus,3 R.N.Dr.(Charles University, Prague), C.Sc(Czechoslovak Academy of Sciences, Prague)

P.J. Ponzo, M.A.(Toronto), Ph.D.(Illinois)

J. Wainwright, B.Sc(Natal), Ph.D(South Africa)

R.A. Wentzell, B.Sc.(Acadia), Ph.D.(Western)

Z. Dvoracek, M.S., R.N.Dr.(Charles University, Prague), Ph.D. (Czechoslovak Academy of Sciences, Prague)

G.W. Horndeski, B.Sc.(Washington Uni., St. Louis), Ph.D. (Waterloo)

S.P. Lipshitz, B.Sc. Hons.(Natal), M.Sc.(South Africa), Ph.D. (Witwatersrand)

R.G. McLenaghan, M.Sc.(Queen’s), Ph.D.(Cambridge)

M.E. Snyder , {rs), B.Sc.(Western), M.Sc.(Waterloo)

Lecturers

Research Associate Research Assistant Professor

Postdoctoral F ellows

Adjunct Professors

Professor and Chairman of the Department Distinguished Professor

Professors

Associate Dean of Faculty of Math

Associate Dean of Graduate Studies

Associate Professors

Assistant Professors

Associate Director of Computing Centre Assistant Professor

(part-time)

Faculty of Mathematics 517

B.J. Marshman, (Mrs.), Ph.D.(Waterloo) P.J. Trushel, B.A. Maths(Colorado College, Colo.Springs), Ph.D (Waterloo)

D.R. Salahub, B.Sc.(Alberta), Ph.D.(University of Montreal) S. Kim, B.Sc.(Seoul, Korea), M.Sc.Idaho), Ph.D.(Waterloo)

Y-S. Huang, B.S.(Tunghai Uni. Taiwan), Ph.D(Waterloo )

E. Ueibowitz, B.Sc.(Hebrew Uni.), M.Sc.(Weizmann Inst. of Sci., Rehovoth), D.Sc.(Technion Israel Inst. of Technology, Haifa) K.MS. Saxena, M.Sc.(Lucknow), Ph.D.(Indian Inst. of Technology, Kanpur, India)

D.J. Henderson, B.A.(U.B.C.), Ph.D.(Utah), F .Inst.P. H. Rund, Ph.D.(Cape Town), Habilitation (Freiburg)

Faculty members holding cross appointments as shown 1 Applied Mathematics and A.A.C.S.

2 Applied Mathematics and Statistics and A.A.C.S.

3 Applied Mathematics and Chemistry

Department of Combinatorics and Optimization G. Berman, M.A., Ph.D.(Toronto) W.T. Tutte, Ph.D.(Cantab.), F.R.S.C.

H.F. Davis, Ph.D.(M.1.T.) J. Edmonds, B.A .(Geo.Washington), M.S.(Maryland) K.D. Fryer, B.A.(Western), Ph.D.(Toronto)

P.L. Hammer, Ph.D. Math(University of Bucharest, Romania) R.C. Mullin, B.A.(Western), Ph.D.(Waterloo)

J.A. Bondy, D.Phil.(Oxon).

R.C. Read, M.A.(Cambridge), Ph.D.(London)

C.E. Haff, B.S.(Stanford), Ph.D.(Waterloo)

R.A. Honsberger, B.A.(Toronto), M.A.(Waterloo)

U.S.R. Murty, M.A.(Osmania), Ph.D.Indian Statistical Institute) (On Sabbatical Leave, 1973-74) °

H. Shank, M.Sc.(Chicago), Ph.D.(Cornell)

D.H. Younger, Ph.D.(Columbia)

M. Best, M.Math.Waterloo), Ph.D.(California, Berkeley) RN. Burns, B.Sc.(Toronto), Ph.D.(Waterloo)

A.R. Conn, B.Sc.(Imperial College), M.Sc.(Manitoba), Ph.D. (Waterloo)

G.B. Faulkner, B.A.Sc.(Toronto), Ph.D.(Waterloo)

D.M. Jackson, Ph.D.(Cambridge)

_P. Schellenberg, Ph.D.(Waterloo)

J.W. Dodd, B.A.Sc.(Toronto), M.Sc.(Waterloo)

Lecturers.

Assistant

Chairman Administration Assistant to the Dean Assistant to the Dean

Postdoctoral Fellows

Adjunct Professors

Associate Professor, Chairman of the Department

Professors

Associate Professors

Associate Professor of Foundations of Mathematics

Assistant Professors

Faculty of Mathematics

F. Anderson, B.A.(McMaster)

R.G. Dunkley, B.A.(Western) WAL. Miller, B.A.(Queen’s) P. Zima, M.Sc.(Charles University, Prague)

F.R. Bernhart, M.S.(Mich.), Ph.D.«(Kansas State) S.B. Maurer, B.A.(Swarthmore), Ph.D.(Princeton) W.R.H. Richardson, Ph.D.(Waterloo)

F.I. Johnson, B.S.(Georgia Tech), Ph.D.(California, Berkeley) C.St.J.A. Nash-Williams, Ph.D.(Cantab.), F.R.S.E R.E. Woolsey, Ph.D. Texas)

Department of Pure Mathematics

A. Kerr-Lawson, B.A.(Toronto), M.A (Chicago), Ph.D.(McMaster)

HH. Crapo, A.B.(Michigan), Ph.D(M.1.T.) .

(On Sabbatical Leave, 1973-74)

G.E. Cross, M.A.(Dalhousie), Ph.D.(U.B.C.).

D.Z. Djokovic, Ph.D.(Belgrad)

(On Sabbatical Leave, 1974-75)

R.A. Staal, Ph.D.(Toronto)

D.B. Sumner, M.Sc(Cantab.), D.Phil.(Witwatersrand)

J.W. Tucker,! B.Sc.(King’s College, London), Ph.D (Birbeck College, London) co

J.G. Anderson, M.Sc.(Durham), Ph.D.(Newcastle upon Tyne) J.A. Baker, M.A (Saskatchewan), Ph.D.(Waterloo)

(On Sabbatical Leave, 1974-75)

S. Burris, Ph.D.(Oklahoma)

Y. Chen, M.Ph.(Frankfurt), Ph.D.(Bochum)

G. Dankert, Dip.Math(T.U. Hannover), Ph.D.(Cologne) W.J. Gilbert, M.A.(Cantab), D.Phil.(Oxon)

(On Sabbatical Leave, 1974-75)

D.A. Higgs, B.Sc. Hons.(Witwatersrand), M.A (Cantab.), Ph.D. (McMaster).

P. Hoffman, B.A.(Toronto), Ph.D(Manchester)

F.C.Y. Tang, B.Sc.(Hong Kong), M.S.(South Carolina), Ph.D. (Illinois) _

Paul de Witte, M.Sc. Theor. Phys(Ghent, M.Sc. Math., Ph.D. (Brussels)

L.J. Cummings, Ph.D.(U.B.C.)

(On Sabbatical Leave, 1973-74)

L.J. Dickey, M.A.(Arizona), Ph.D.(Wisconsin)

J. Maizan, Ph.D.(Toronto)

E.M. Moskal, B.A.(Toronto), Ph.D, (Illinois)

(On Sabbatical Leave, 1974)

D. Mowat,2 Ph.D.(Waterloo)

K.A. Rowe, B.S.(Toronto), M.S.(Wisconsin), Ph.D (Illinois)

Faculty of Mathematics 519

Instructor (part-time) J.E. Totten, B.A.(Saskatchewan), M.M.(Waterloo) Research Assistant W.W. Wadge, B.Sc.(U.B.C.)

Postdoctoral Fellows S. Bulman-Fleming, Ph.D.(Queen’s) J. Fischer, B.A.(Adelphi, N.Y.), M.A(York), Ph.D.Waterloo)

Adjunct Professor W. A. Benz, Ph.D.(Mainz)

Faculty Members holding cross-appointments as shown: 1 Pure Mathematics and Philosophy. 2 St. Jerome’s and Pure Mathematics.

Department of Statistics

Professsor and Chairman D.A. Sprott, Ph.D.(Toronto) of the Department Professors S.N. Afriat,! M.A.Cambridge), D.Phil.(Oxford)

Dean of the Faculty of Math W.F. Forbes, Ph.D., D.Sc.(London), D.LC. B. Forte,2 Ph.D.(Pisa), Habil. D.Sc.(Rome) V.P. Godambe, M.Sc.(Bombay), Ph.D.(London)

Professor, Associate Chair- J.G. Kalbfleisch, B.Sc.(Toronto), Ph.D.(Waterloo) man of the Department ’

J.S. Minas,3 B.A (Wayne), Ph.D(Illinois) P.M. Reilly,4 P.A.Sc.(Toronto), D.I.C.L., Ph.D.(London) F.S.S. M.D. Vogel-Sprott,5 B.A.McMaster), Ph.D.(Toronto)

Associate Professors M.A. Bennett, B.A.Nottingham), F.S.A., F.C.1.A. ' W.H. Cherry, Ph.D.((Melbourne) _W.M. Gentleman,® B.Sc.(McGill), Ph.D.(Princeton) J.D. Kalbfleisch, Ph.D.(Waterloo) . J.F. Lawless, Ph.D.(Waterloo) WSS. Rickert, Ph.D.(Waterloo) K.R. Shah, M.A.(Bombay), Ph.D(Indian Statistical Institute) M.E. Thompson) (Mrs.), B.Sc.(Toronto), Ph.D.(IIllinois) R.V. Thysell,5 B.Sc.(Montana, Ph.D.(Iowa) J.C. Young, B.A.Sc.(Toronto), M.Sc.(Waterloo), Ph.D.(Edinburgh) (part-time) G.W. Bennett, Ph.D.((Adelaide)

Assistant Professors L. Billard, Ph.D.(New South Wales) B.L. Eyford, B.Sc.(U.B.C.), Ph.D.(Southampton) J.F. Gentleman (Mrs),6 B.S.Math., M.S.Stat.(Chicago), Ph.D.(Waterloo) R.L. Prentice, B.Sc.(Waterloo), Ph.D.(Toronto) J.C. Robinson, M.A.Sc., P.Eng., Ph.D.(Waterloo) | T.G. Waller,5 M.A(Southern Mississippi), Ph.D.(Vanderbilt) J.B. Whitney,M.A.(Western), Ph.D.(Toronto)

Lecturers R.L. Brown, B.Math.(Waterloo) F. Reynolds, M.Sc.(Manitoba) F.S.A., F.C.1.A. C. Springer, M.Sc.(McGill)

Instructor K.S. Brown, Ph.D.(Waterloo) |

Postdoctoral Fellows

Adjunct Professors

Name

G. Birkoff

E.W. Dykstra

Faculty of Mathematics

J. Jackson, M.A.(Cambridge), M.B., B.Chir.(Cambridge)

RR. Knispel, M.Sc.(Toledo), Ph.D.(Montana State)

P.A. McBride-Warren, B.A.Chemistry(Dallas), Ph.D.Diochemistry (Kansas State Univ.).

I. Rabinovitch, B.Sc.(McGill), Ph.D.(Dartmouth)

LP. Fellegi, Ph.D.(Carleton), F.A.S.A.

R.C. Frecker, B.Sc.(Memorial), M.D.(Dalhousie)

P. Robinson, Dip.Math.Stat.(Cantab.), Ph.D.(Capetown)

M. Zelen, B.Sc.(City College, New York). M.A.ANorth Carolina), Ph.D (American)

J.G. Spiro, P.Eng.(Budapest), M.S. (Carnegie-Mellon University), Ph.D.(McGill)

Faculty members holding cross appointments as shown: 1 Statistics and Economics

2 Applied Mathematics and Statistics and A.A.C.S.

8 Philosophy and Statistics

4 Chemical Engineering and Statistics

5 Psychology and Statistics

6 A.A.C.S. and Statistics

Division of Mathematical Research

The Division of Mathematical Research is a trans-departmental organization within the Faculty of Mathematics which is responsible for the general direction, encouragement and co-ordination of research and related activities. It arranges Colloquium lectures for the Mathematics Faculty (as distinct from research seminars), and organizes the Distinguished Lecturer Series in which individuals, outstanding both for their lecturing ability and research, are invited to present a series of lectures to undergraduates as well as graduates. It also brings mathematicians from other institutions to the University as Visiting Professors.

Faculty members working on related mathematical fields are encouraged to coordinate their activities through the formation of a Research Section. At present, their are nine such Research Sections, namely, Combinatorics, Computer Communication Networks, Differential Geometry and Relativity, Functional Equations, Information Theory, Numerical Analysis, Quantum Theory, Statistics and Biometry, and Theory of Computing. Each of these holds regular research seminars. Graduate students should keep these seminars in mind when planning their graduate programme..

Distinguished Lecturers (1973-74) University Area

Department of Mathematics, Mathematics Harvard Universtiy.

Cambridge, Massachusetts

Department of Mathematics, ° | Computer Science Technological University

Eindhoven, The Netherlands

Name

A. Hibbert

D. Klarner

J. Ladik

A. Lundberg

J.B. Miller

J. Morris

A.G. Walker

Faculty of Mathematics 521

Visiting Professors (1973-74)

Research Section University

Quantum Theory Queen’s University, Belfast, Northern Ireland

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