* Why OR ?  Search: "Operational Research" (Br.) at .ac.uk, at .edu; "Operations Research" (Am.) at .ac.uk, at .edu

01' • (G) What is OR ? ⇒ Euro, Assoc. of European OR Soc.s (→ Op. Res. → What is OR ?); Wikipedia; APDIO → "O que é IO"; InfORMS

02' • OR benefits from:  (i) several top 10 (a2000) algorithms of the 20.th century, namely Linear Programming and the Monte Carlo method; and (ii) the simultaneous computer-age revolution.  OR is typically interested in an optimum solution (least cost or wait, greatest profit).

03' • Prominent scientists in OR (in OR/MS 2002): George Dantzig (Linear Programming); Stanislaw Ulam (Monte Carlo); A. H. Land, A. G. Doig (branch-and-bound, Integer Progr.); Richard Bellman (Dynamic Progr.); J. C. Little (Queueing); T. M. Whitin (Inventory Management). • Scientific societies, periodicals.pdf   (.pdf if normal, .Pdf if scanned image)

* Linear Programming

04' • Illustrative problem SAS diet problem, Diet problem (%)

05' • SAS/OR diet.xlsx, .ltx .lp • WinQSB.zip (search)

07' • Revised simplex: % Zionts prb, inverse matrix updating (matrix Zionts.xls prb). • Excel limits: TP_big.xlsx

10' • Ramalhete sensit..xls • Arsham (search "315.101"): Game theory (→ =; ex1.ltx) • NEOS: Case Studies

* Transportation Problem

11' • Illustrative problem Transportation Problem (=)

12' • Facility location... (plant location, |at (J. Buescu) Ingenium.pdf|) • Shortest path (Java)

* Integer Programming

13' • Illustrative problem IP_Wolsey95.Pdf

* Simulation (Monte Carlo)

14' • Illustrative problem Height of a conical hopper (%)

15' • General: Ellipse, for Excel with macros: '.xlsm'. See also Computing/Misc./MS Office for macros (UDF) and sliders.

* Queueing

16' • Illustrative problem (Wash. Univ.) Queueing Theory.pdf (3 pp, 220 Kb)

17' • General: (search) xlsx xlsm xlsb

18' • Quality Management:What about your customers ?.pdf

* Inventory management

19' • Illustrative problem Economic Order Quantity EOQ (%)

* Revisions • ExamSimul2000x.pdf • Transportation problem.xlsx, with tolls, models.pdf

20' • Simulation of distance.xlsx in a circle (COUNTIF) • "Julia".pdf.

21' • Beasley IP (Tutorials): "4 variants of product" manufacture, question, solution, answer.xlsx, =.ltx;  Project selection question, solution, answer.xlsx, =.ltx • Vandenberghe ilp.pdf (facility location, B&B), =.xlsx =.ltx (& see log)

22' • How to snatch into Excel • How to pilfer a 'ppsx' ? (save 'ppsx', start PP, open 'ppsx', etc.). See DePaul (above) and: M/M/1 %, M/M/s % (Kendall, Erlang) • Mark Hillier.xlsx (nam.

23' • LP w/ bin. var., fix cost.mp4 • IntegerProg.pptx (pptx or ppsx; 103 sl.: exa.s 45 bin 49 57 59 62 71 fixCh 87)

24' • Exam problems: cinetica.jpg, .xlsx; Plymax.jpg; exam1.pdf

• Boston Univ. • #Craw • IMSL lib.s • mc, Monte Carlo • MILP search (Mixed Integer Linear Programming) • NAG, Fortran library • NEOS (Network-Enabled Optimization Sys.) — ANL (Argonne Nat'l Lab.), MCS (Maths. & Computer Sci.), #OTC (Opt. Technology Center) • #QSB • TSP, travelling salesman problem • WolfrMW, Wolfram MathWorld (Mathematica)

• Dictionaries, etc....: optimum (n./adj.), greatest degree / best, most advantageous ← L., neut. s. of optimus (used as superl. of bonus, "good") ← ops, "power" (related to opt ← Fr. opter) • solution (soln.), an action or process of solving a problem; answer to a problem; specifically, a set of values of the variables that satisfies an equation • {un|a}symmetric(al) (sci.: -symmetric ?), symmetrical • to prune, to cut off parts (eg., tree branches) for better shape, more fruits (podar .pt .es, élaguer .fr, potare .it, stutzen .de) • to fathom, to measure by a sounding line (to evaluate)

• Bibliography  H&L [Hillier & Lieberman, 2005]; BronNaad [Bronson & Naadimuthu, 1997]; Chen et al. [Chen et al., 2010 (book !)]
EckerKup [Ecker & Kupferschmid, 1988]; Sultan [Sultan, 1993] • Mathematica, MathWorld, Integrator, Functions Site • NIST/SEMATECH e-Handbook of Statistical Methods • ASQ