Duality Relations for a Class of a Multiobjective Fractional Programming Problem Involving Support Functions

Vandana, _; Dubey, Ramu; Deepmala, _; Mishra, Lakshmi Narayan; Mishra, Vishnu Narayan

doi:10.4236/ajor.2018.84017

Cited by 19 publications

(7 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Let w be defined as in (11), then w(t) > 0 for t ≥ T . Using (26), the following inequality is true:…”

Section: Resultsmentioning

confidence: 99%

“…Recently Agarwal et al [24] have established some new oscillation criteria for second-order delay dynamic equations on time scales. Very recently, some authors studied on existence and behavior of solutions for some integral equations, second order multi objective symmetric programming problem and duality relations and fixed point theorems for nonlinear contractions in [25,26,27,28,29]. In this paper, we consider second-order nonlinear neutral dynamic equations of the following form:…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Oscillation Criteria for Second-Order Nonlinear Dynamic Equations on Time Scales

Zingil¹,

Topal²

2018

Open J. Math. Sci

View full text Add to dashboard Cite

show abstract

“…Let w be defined as in (11), then w(t) > 0 for t ≥ T . Using (26), the following inequality is true:…”

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Oscillation Criteria for Second-Order Nonlinear Dynamic Equations on Time Scales

Zingil¹,

Topal²

2018

Open J. Math. Sci

View full text Add to dashboard Cite

show abstract

“…Definition If the objective function is the ratio of two non-linear functions, then the optimization often presented by programming is called fractional programming (Dubey et al, 2020;Vandana et al, 2018).…”

Section: Solution Methodologymentioning

confidence: 99%

“…where m (ϕ n+1 ) < 0., To optimize and solve the profit function (t 1 , T , ϕ n+1 ), we required a special algorithm due to the non-linear feature of the problem (Dubey et al, 2020;Dye, 2013;Vandana et al, 2018). We have followed the solution approach of Tiwari et al (2017), who state that analytical methods fail to solve a highly complex problem and require high computational work and analytics.…”

Section: Solution Methodologymentioning

confidence: 99%

Internet of things for perishable inventory management systems: an application and managerial insights for micro, small and medium enterprises

et al. 2021

View full text Add to dashboard Cite

Micro, Small, and Medium Enterprises (MSMEs) operating in the food retailing sector encounter two main concerns with respect to their perishable inventory management system, i.e., the product's shelf life and investment in warehouse monitoring systems. New technologies like the Internet of Things (IoT), automated inventory control platforms, and automatic storage and retrieval systems offer effective solutions to these issues. However, MSMEs are reluctant to adopt these technologies due to their prior perception of higher implementation costs and the expected benefits. The present study aims to optimize IoT implementation in MSMEs' inventory management systems and to provide tangible proof of its feasibility and usefulness. In so doing, we propose a mathematical model and analyze the impact of IoT through two case studies. The model provides a cost-benefit analysis of IoT investments that aim to increase products' shelf life. We adopted the fractional program method, solved by particle swarm optimization on MATLAB software. The findings demonstrate the positive correlation between adopting IoT and reduced inventory costs supporting IoT deployment for improved perishability performance in MSMEs. The study offers several insights and practical guidelines in considering IoT deployment in MSMEs. KeywordsMSME • Inventory management • Internet of Things • Perishable • Warehousing B Sachin Kamble

show abstract

“…Mathematical based analytical methods are classified as fourth group. Dynamic programming [15] and others [16][17][18][19] can be categorized in this group. Artificial intelligence based techiques can be classified as fifth group.…”

Section: Introductionmentioning

confidence: 99%

A novel hybrid global optimization algorithm having training strategy: hybrid Taguchi-vortex search algorithm

Saka¹,

Çoban²,

Eke³

et al. 2021

Turk J Elec Eng & Comp Sci

View full text Add to dashboard Cite

In this paper, a novel hybrid Taguchi-vortex search algorithm (HTVS) is proposed for solving global optimization problems. Taguchi orthogonal approximation and vortex search algorithm (VS) are hybridized in presenting method. In HTVS, orthogonal arrays in the Taguchi method are trained and obtained better solutions are used to find global optima in VS. Thus, HTVS has better relation between exploration and exploitation, and it exhibits more powerful approximation to find global optimum value. Proposed HTVS algorithm is applied to sixteen well-known benchmark optimization test functions with different dimensions. The results are compared with the Taguchi orthogonal array approximation (TOAA), vortex search algorithm, grey wolf optimizer (GWO), sine cosine algorithm (SCA), moth-flame optimization algorithm (MFO), whale optimization algorithm (WOA) and salp swarm algorithm (SSA). In order to compare the effectiveness of HTVS statistically, Wilcoxon signed-rank test (WSRT) is used in this study. Furthermore, HTVS is applied to two different real engineering problems having some constraints (tension/compression spring design and pressure vessel design). All obtained results suggested that HTVS can find optimal or very close to optimal results. Moreover, it has good computational ability and fast convergence behavior as well.

show abstract

Duality Relations for a Class of a Multiobjective Fractional Programming Problem Involving Support Functions

Abstract: In this article, for a differentiable function :

Cited by 19 publications

References 10 publications

Oscillation Criteria for Second-Order Nonlinear Dynamic Equations on Time Scales

Oscillation Criteria for Second-Order Nonlinear Dynamic Equations on Time Scales

Internet of things for perishable inventory management systems: an application and managerial insights for micro, small and medium enterprises

A novel hybrid global optimization algorithm having training strategy: hybrid Taguchi-vortex search algorithm

Contact Info

Product

Resources

About