Concept Of Grey Numbers Research Articles

A Single Machine Capacitated Production Planning Problem Under Uncertainty: A Grey Linear Programming Approach

The production planning is an important problem in most of manufacturing systems in practice. Unlike many researches existing in literature, this problem encounters with great uncertainties in parameters and input data. In this paper, a single machine capacitated production planning problem is considered and a linear programming formulation is presented. The production costs are assumed to be uncertain parameters. To handle the uncertainties in the model, the grey systems theory is employed and the concept of grey numbers is incorporated into an optimization framework. In such systems, the uncertain parameters with unknown distributions can be handled by grey numbers. The grey linear programming (GLP) is a development of the classical linear programming which allows uncertainty to be effectively communicated into the optimization process. Finally, the uncertain problem is transformed into a GLP, and is solved by two linear deterministic sub-models.

Lean metric appraisement: exploration of grey numbers set theory

Purpose– Lean manufacturing is a production practice that considers the expenditure of resources for any goal other than the creation of value for the end customer to be wasteful, and thus a target for elimination. In today's competitive global marketplace the concept of lean manufacturing has gained vital consciousness to all manufacturing sectors, their supply chains and hence a logical measurement index system is indeed required in implementing leanness in practice. The paper aims to discuss these issues.Design/methodology/approach– The present work exhibits an efficient grey-based leanness assessment system using concept of grey numbers theory.Findings– Such leanness estimation can help the enterprises to assess their existing leanness level; can compare different industries who are adapting this lean concept. The methodology described here has been found fruitful while applying for a particular industry, in India, as a case study.Originality/value– Lean extent evaluation module (lean index appraisement system) exploring grey numbers theory is quite new and not documented in literature before.