Check the test problems against their original papers

[tachsin]

Some test problems in the problem library (see docs/problems-plan.md on the next branch) are implemented from later papers that restate them, because their originals are paywalled or in print only. Their docs say which source defines them. Once an original is read, check the definition, bounds, constants and optimum against it, cite its page, table or equation, and tick it here.

Originals to check:

• Huband, Hingston, Barone and While (2006), IEEE TEVC: WFG1-WFG9
• Deb, Pratap and Meyarivan (2001), EMO / KanGAL report 200002: CTP1-CTP8
• Deb (2001), Multi-Objective Optimization Using Evolutionary Algorithms: OSY's regions, CTP8
• Binh and Korn (1997): BNH
• Kursawe (1991): KUR
• Poloni et al. (2000): POL
• Viennet, Fonteix and Marc (1996): VNT1-VNT3
• Deb and Jain (2014), part I: scaled DTLZ1/DTLZ2, convex DTLZ2, inverted DTLZ1
• Schwefel (1981): Schwefel's functions
• Dixon and Szegö (1978): Hartmann and Shekel constants
• Ragsdell and Phillips (1976): welded beam
• Sandgren (1990): pressure vessel
• Golinski (1970), with Ray (2003): speed reducer
• Gu et al. (2001): car side impact
• Osyczka and Kundu (1995): OSY
• Deb, Pratap and Moitra (2000): multi-objective engineering design problems
• Stadler and Dauer (1992): two-bar truss and related designs
• The originals of the single-objective functions taken from Yao, Liu and Lin (1999) and the CEC 2005 report

[tachsin]

Additions from batch 3 (#191), whose definitions come from later papers that restate the originals:

• Rao, S. S. (1996), Engineering Optimization, 3rd ed.: the welded beam with seven constraints (WeldedBeam, restated by Coello Coello 2000)
• Reklaitis, Ravindran and Ragsdell (1983), Engineering Optimization: Methods and Applications: the welded beam with five constraints and its best known 2.38116 (WeldedBeamRagsdell, restated by Deb 2000), with Ragsdell and Phillips (1976) above
• Sandgren (1990), above, and Kannan and Kramer (1994), J. Mech. Des. 116(2): 405-411: also the gear train (GearTrain, restated by Deb and Goyal 1996)
• Belegundu (1982), PhD thesis, University of Iowa, and Arora (1989), Introduction to Optimum Design: the tension/compression spring (restated by Coello Coello 2000)
• Golinski (1973), Mechanism and Machine Theory 8(4): 419-436, with Ray (2003): the speed reducer (restated by Cagnina, Esquivel and Coello Coello 2008; other restatements differ, e.g. 7.477 for 7.4777)
• Nowacki (1974) and Ray and Saini (2001), Engineering Optimization 33(6): 735-748: the three-bar truss (restated by Yang and Gandomi 2012)
• Fleury and Braibant (1986), IJNME 23(3): 409-428: the cantilever beam (restated by Yang, Huyck, Karamanoglu and Khan 2013)
• Gu et al. (2001), above: also the single-objective car side impact, from Jain and Deb's (2014) seven-variable response surfaces
• The sources of CEC 2006's g01-g06, as the report cites them (the definitions are the report's): Floudas and Pardalos (1990, LNCS 455) for g01 and g06; Koziel and Michalewicz (1999) for g02 and g05's best known solution; Michalewicz, Nazhiyath and Michalewicz (1996) for g03; Himmelblau (1972) for g04; Hock and Schittkowski (1981) for g05

[tachsin]

CTP1-CTP8 are now checked against their originals (#419): Deb, Pratap and Meyarivan's published paper (EMO 2001, LNCS 1993, pp. 289-298) and Deb's 2001 book, section 8.3.5, pp. 352-360. All eight definitions match.

• CTP8: its parameters on p. 358 are the values genoxide had taken from the authors' code, and its documented front-piece ends are corrected.
• The sources' f₂: both print f₂ = g(1 − f₁/g) while their figures draw 1 − √f₁. genoxide keeps the square root, as the authors' code does.