Grey linear programming: a survey on solving approaches and applications

Darvishi, Davood; Liu, Sifeng; Forrest, Jeffrey Yi‐Lin

doi:10.1108/gs-04-2020-0043

Cited by 14 publications

(6 citation statements)

References 57 publications

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“…Overall, grey linear programming provides a valuable approach for accommodating uncertainties in decision-making processes across various fields. Grey linear programming offers advantages over deterministic approaches by accommodating uncertainties and has widespread applications across diverse disciplines such as economics, agriculture, medicine, geography and industry (Darvishi et al ., 2021). In the optimization problem, finding an optimal cluster in a network using the p-median method.…”

Section: Methodsmentioning

confidence: 99%

Prioritization of emergency assembly points in a campus using grey p-median linear programming model

Yalçıner Çal,

Aydemir

2024

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PurposeThe purpose of this paper is to propose a scenario-based grey methodology using clustering and optimizing with imprecise and uncertain body size data in an emergency assembly point area to assign the people on a campus to reach the emergency assembly points under uncertain disaster times.Design/methodology/approachGrey clustering and a new grey p-median linear programming model are developed to determine which units to assign to the pre-determined assembly points for a main campus in case of a disaster. The models have two scenarios: 70 and 100% occurrence capacities of administrative and academic personnel and students.FindingsIn this study, the academic and administrative units have been assigned to determine five different emergency assembly points on the main campus by using the numbers of the academic and administrative personnel and student and distances of the units to the assembly point areas of each other. The alternative solutions are obtained effectively by evaluating capacity utilization rates in the scenarios.Practical implicationsIt is often unclear when disasters can occur and therefore, a preliminary preparation time must be required to minimize the risk. In the case of natural, man-made (unnatural) or technological disasters, the people are required to defend themselves and move away from the disaster area as soon as possible in a proper direction. The proposed assignment model yields a final solution that effectively eliminates uncertainty regarding the selection of emergency assembly points for administrative and academic staff as well as students, in the event of disasters.Originality/valueGrey clustering suggests an assignment plan and concurrently, an investigation is underway utilizing the grey p-median linear programming model. This investigation aims to optimize various scenarios and body sizes concerning emergency assembly areas. All campus users who are present at the disaster in units of the campus are getting uncertainty about which emergency assembly point to use, and with this study, the vital risks aim to be ultimately reduced with reasonable plans.

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Section: Methodsmentioning

confidence: 99%

Prioritization of emergency assembly points in a campus using grey p-median linear programming model

Yalçıner Çal,

Aydemir

2024

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“…Operation/ Definition Description Equations Reference Applying claim reduction criteria Darvishi et al (2020) reviewed previous studies on different grey linear programming methods. Some studies (e.g., Razavi Hajiagha et al, 2012;Mahmoudi et al, 2018) developed grey multi-objective programming.…”

Section: Grey Systems Theory (Gst)mentioning

confidence: 99%

Applying claim reduction criteria in selecting efficient contractors with the two-step grey data envelopment analysis approach

Asnaashari,

Sheikh Aboumasoudi,

Mozaffari

et al. 2023

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PurposeThe application of correct contractor selection strategies leads to the selection of a qualified contractor and, as a result, the on-time delivery of the project with the desired quality and within the predetermined budgetary constraints. For this reason, evaluating and qualifying contractors before reviewing the proposed prices has been considered an important issue. One factor that disrupts the project completion process and the failure to achieve pre-planned goals effectively is the occurrence of contractors' disputes and claims in projects. To this end, the present study explores claim-reduction strategies for selecting effective contractors in an uncertain environment to reduce possible problems.Design/methodology/approachThe two-step grey data envelopment analysis (GDEA) approach was used to measure efficiency as a powerful tool in selecting efficient contractors during tenders. This approach can extend the applications of multi-criteria decision-making (MCDM) models. In other words, given some uncertainties, the unavailability of some data, and the problems with the DEA model, the two-step GDEA model was used to rank the contractors. The data confirmed the satisfactory outcomes from the selected model.FindingsThe preliminary assessment of contractors is a pre-tendering process and a step in categorizing contractors, excluding contractors lacking required qualifications, and selecting efficient contractors. At first, it will help the employer to exclude inexperienced and unqualified contractors, save resources and time, reduce threats, replace opportunities with threats, and reduce material and non-material costs during the completion of the project until the projects are put into operation. Consequently, this approach reduces claims to a minimum level and increases the organization's effective material and non-material profit.Originality/valueOil and gas plans and projects have a significant, sensitive, and decisive role in the economic, social, political, cultural, infrastructural, and all-round development of Iran; This is while most of the financial resources needed to implement the development and programs across the country come from oil revenues. Studies have indicated that despite the importance of these plans and projects, many of them are not completed successfully, and this causes irreparable losses to the country's economy and development in various fields.HighlightThe findings of this study can be used by organizations to select more effective contractors to assign projects and plans to them.The preliminary assessment of contractors is a pre-tendering process and a step in categorizing contractors, excluding contractors who lack required qualifications, and finally selecting efficient contractors.At first, it will help the employer to exclude inexperienced and unqualified contractors, save resources and time, reduce threats, replace opportunities with threats, and reduce material and non-material costs during the completion of the project until the projects are put into operation.This approach also gives credit to the employer during the execution period and contributes to assessing unqualified contractors and reducing the temptation to hand over the project to an unqualified contractor but with a lower bid price.Consequently, this approach reduces claims to a minimum level and increases the effective material and non-material profit of the organization.Moreover, it provides an extra-organizational evaluation for contractors, motivating them to upgrade their capabilities and optimally allocate material and non-material resources, especially human resources.

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“…Thus, asteroid mining affects global equity in terms of economics, i.e., benefit capture. To investigate how asteroid mining can maximize its benefits, we use a Linear programming approach [11].…”

Section: Figure 2 Source Of Funds Requiredmentioning

confidence: 99%

Strive for equitable use of space minerals resources

Shen¹,

Hua²

2023

HSET

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The global world has been paying great attention to the issue of space resources. To measure global equity, according to the dominant criteria, this paper selects resources, economic, opportunity, and policy indicators by using the entropy weight method to calculate the information entropy and weight of each indicator, to measure the degree of equity. In the future exploitation of space resources, in terms of financing and returns, this paper uses the global equity model, and to calculate the maximum mining returns, this paper uses linear programming. The results show that the maximum benefit is $20.01 million per ton.

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Grey linear programming: a survey on solving approaches and applications

Cited by 14 publications

References 57 publications

Prioritization of emergency assembly points in a campus using grey p-median linear programming model

Prioritization of emergency assembly points in a campus using grey p-median linear programming model

Applying claim reduction criteria in selecting efficient contractors with the two-step grey data envelopment analysis approach

Strive for equitable use of space minerals resources

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