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In order to minimize the cost of the applied materials (equivalent to minimizing the wastes and losses of materials), if we consider ‘Z’ as the minimum production cost for the order, we will have: So that: For all non-negative ‘X’s, is held.
Also, other limitations in relation to original materials which should be exercised under different methods, will be added, if necessary.
[2] Azar Adel: Operations Research, Institute of modern science publishing, Tehran, Iran (2007)
[3] koltai Tamas, Tatay Viola : A practical approach to sensitivity analysis in linear programming under degeneracy for management decision making, International Journal of Production Economics.
[8] Singer Marcos, Donoso Patricio: Strategic decision-making at a steel manufacturer assisted by linear programming, International Journal of Production Economics, Vol. 59 (2005), P. 387-390

[10] Guoqiang Li, Anqi Wang, "Cold, warm, and hot programming of shape memory polymers ", Journal of Polymer Science Physics, 54, (2016): 1319-1339
Tiller,"Shape memory natural rubber", Journal of Polymer Science Part B: Polymer Physics, 54(14), (2016): 1381-1388
Materials Research Express, 5(8), (2018): 1-19
Darmawan, "Mechanical properties and curing characteristics of shape memory natural rubber", IOP Conference Series: Materials Science and Engineering, 541 (2019): 012012(1-6)
Tomassetti, "Energy Splitting Theorems for Materials with Memory", Journal of Elasticity, 101,(2010): 59–67

Majumdar, Microstrain evolution during creep of a high volume fraction superalloy, Materials Science and Engineering A. 399 (2005) 141-153
Tai, Aging effects on the microstructure and creep behavior of Inconel 718 superalloy, Materials Science and Engineering A. 510 (2009) 289-294
Murakami, Oxidation behavior of a newly developed superalloy, Journal of Surface Engineered Materials and Advanced Technology. 1 (2011) 130-135
Wei, Effect of serrated grain boundaries on the creep property of Inconel 718 superalloy, Materials Science and Engineering A. 530 (2011) 525-529
Prakash, High temperature cyclic oxidation behavior of Ni and Co based superalloys, Journal of Minerals & Materials Characterization & Engineering. 11 (2012) 211-219

Corrosion product of anode materials in Cr6+ ions solution is partly deposited on anode materials surface, others might be dissolved into plating solution.
This is leading to weight of anode materials remaining almost constant.
That is to balance the weight of anode materials.
Journal of Materials Processing Technology Vol.152(2004), p384
Fang: Journal of Iron and Steel Research Vol.13 (2001), p.38 [8] A.

Micro milling of super alloy materials such as nickel based alloys is challenging due to the excellent of its mechanical properties.
Introduction Inconel 718 is categorized as super alloy or nickel base alloy materials.
The materials adhered to the cutting tool and built up edge was due to the ductile nature of workpiece material.
It was due to the increasing of cutting temperature over the melting temperature of coating materials build up edge.
Amara, Influence of workpiece inclination angle on the surface roughness in ball end milling of the titanium alloy Ti-Al-4V, Journal of Acheivements in Materials and Manufacturing Engineering, 35 (2009) 79-86

In past few decades, natural fibers which are viable and abundant in nature are the emerging trends in material science as reinforcement for polymer matrix materials and they are the commute for the non-biodegradable, non-renewable and high-density synthetic fibers.
The treatment of materials in cryogenic temperature plays a very important role in advancement of its properties.
Journal, Vol.28, No.17, 2010
Journal of Food, Agriculture & Environment Vol.8 (2): 1103 - 1108.2010
[4] Sridevi Kichhannagari, “Effects of Extreme Low Temperature on Composite Materials”, (2004).

Flexible inner pressure bolt is a new bolt[4,5], high elastic polymer material is used to ake bolt body, the bolt body is vertical enhanced by linear materials such as steel wire or fiber, is ring enhanced with high strength fiber limited elongation.
Chinese Journal of Rock Mechanics and Engineering, 2004, 23(3): 465~468
Application of a new plastic expanding metal anchor in stoping tunnel supporting[J].Journal of Xi’an University of Science and Technology,2007,27(2):200~204
Coal Science and Technology, 2006, 34(2):72~75
Journal of Xi’an University of Science and Technology, 2009, 29(6):707~711

Petrovic, Mechanical Behaviour of MoSi2 and MoSi2 Composites, Materials Science and Engineering, A192/193 (1995) 31-37
Ichikawa, Work of Fracture of Brittle Materials with Micro-cracking and Crack Bridging, International Journal of Fracture, 55 (1992) 65-79
Chiou, Processing-Microstructure-Property Relationships in Reaction Hot Pressed MoSi2 and MoSi2-SiC Composites, Materials Science and Engineering, A225 (1997) 105-117
Nakayama, Direct Measurement of Fracture Energies of Brittle Heterogeneous Materials, Journal of American Ceramic Society, 48 (1965) 583-587
Tappin, Journal of Material Science, 1 (1966), p. 296.

Materials and Method Materials The strain JDD1H was supplied by our laboratory, which was previously isolated from soil contaminated by petroleum and identified as Rhodococcus.sp by morphological, physiological and biochemical tests as well as 16S rDNA sequence analysis.
Nagarajan: Journal of Hazardous Materials, Vol.
Ghosha: Journal of Hazardous Materials, Vol. 176 (2010), p. 85 [17] Z.
Song: Journal of Journal of China West Normal University (Natural Science) Vol.33 (2012), p.146 (in Chinese) [22] J.
Tang: Journal of China West Normal University (Natural Science), Vol.29 (2008), p.144 (in Chinese) [24] Y.

After that, Michio Inagaki prepared a series porous carbon materials with similar methods.
Applied Surface Science, 2011, 257:2912-2919
Journal of Power Sources,2011, 196:5155-5167
Journal of Power Sources, 2011, 196: 10788-10790
NEW CARBON MATERIALS, 2009,24(2):187~190.