Further Study on Semi-prequasi-invex Type Programming

Li, Keke; Peng, Zai-Yun; Yawei, Liu; Zeng, Jing

doi:10.22606/jaam.2017.21005

Cited by 3 publications

(1 citation statement)

References 9 publications

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“…Peng [9] proposed a new class of generalized functions G-E-semi-preinvex functions, and obtained the optimality results and Wolfe duality problem for G-E-semi-preinvex multi-objective programming problems. A related study of generalized convexity and optimality of planning problems can be found in the literatures [10][11][12][13][14][15]. These literatures have good implications for the study of generalized convexity.…”

Section: Introductionmentioning

confidence: 99%

Optimality conditions and duality results for generalized-Hukuhara subdifferentiable preinvex vector interval optimization problems

Peng,

et al. 2024

Preprint

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In this paper, a class of preinvex vector interval optimization problems (VIOP) with gH-subdifferential is considered, and the optimality conditions and dual results are gained. Firstly, the definition of subgradient for preinvex interval valued function under gH-difference is given, and examples are given to verify the difference between the subgradient in this paper and the subgradient in[28]. Secondly, by means of gH-subdifferential, the Karush-Kuhn-Tucker sufficient and necessary conditions for preinvex (VIOP) are studied. Then, the Mond-Weir dual problem and Wolfe dual problem of preinvex (VIOP) are established, furthermore, weak duality, strong duality, and converse duality theorems are obtained by using the gH-subdifferential. Some examples are given to illustrate the main results. To some extent, the main results generalize the existing relevant results.

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Section: Introductionmentioning

confidence: 99%

Optimality conditions and duality results for generalized-Hukuhara subdifferentiable preinvex vector interval optimization problems

Peng,

et al. 2024

Preprint

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Study of Temperature Effects on Economic Performance of CO2 Enhanced Shale Gas Recovery

Sui

Pei

et al. 2019

Journal of Energy Resources Technology

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CO2 displacement has been proposed to enhance shale gas recovery and unlock a big potential market for CO2 beneficial utilization. Theoretically, gas adsorption is inversely related to the temperature, so gas can be desorbed by elevating the temperature. This paper investigates the economic performance of enhancing shale gas recovery by injecting CO2 at high temperatures through displacement as well as desorption by rising temperatures. Influences of operation temperature and injection pressure were studied for three potential shale plays in China. Study results show that both factors exerted obvious impacts, and CO2 procurement was the largest cost component. It is found that the net revenue was not always proportional to the operation temperature, but more controlled by the injection–production ratio. This is because of the different temperature impacts to the various patterns of adsorbed CH4 and CO2 contents. Consequently, in some cases, more CO2 is needed to displace CH4 when operation temperature is raised, resulting a higher cost. The modeling results demonstrate that based on the adsorption characters of reservoirs, the productivity and profitability of CO2 enhanced gas recovery can be further improved by choosing appropriate operation temperatures.

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Laser Wire Additive Manufacturing of Ti‑6Al‑4V Alloy and Its Machine Learning Study for Parameters Optimization (Invited)

Wu Junyi,

Zhang Bo,

Wang Weihua

et al. 2024

中国激光

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Further Study on Semi-prequasi-invex Type Programming

Cited by 3 publications

References 9 publications

Optimality conditions and duality results for generalized-Hukuhara subdifferentiable preinvex vector interval optimization problems

Optimality conditions and duality results for generalized-Hukuhara subdifferentiable preinvex vector interval optimization problems

Study of Temperature Effects on Economic Performance of CO2 Enhanced Shale Gas Recovery

Laser Wire Additive Manufacturing of Ti‑6Al‑4V Alloy and Its Machine Learning Study for Parameters Optimization (Invited)

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