A Fuzzy Imperfect Production Inventory Model Based on Fuzzy Differential and Fuzzy Integral Method

Journal of Risk and Financial Management

Amalesh Kumar Manna¹  Shyamal Kumar Mondal¹  Jayanta Kumar Dey²  Ali Akbar Shaikh³  Armando Céspedes-Mota⁴  Leopoldo Eduardo Cárdenas-Barrón⁴  Gerardo Treviño-Garza⁴ 

[1] Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore 721102, India;Department of Mathematics, Mahishadal Raj College, Mahishadal 721628, India;Department of Mathematics, The University of Burdwan, Burdwan 713104, India;Tecnologico de Monterrey, School of Engineering and Sciences, Ave. Eugenio Garza Sada 2501, Monterrey, N.L., México 64849, Mexico;

关键词: fuzzy economic production quantity;    fuzzy imperfect production process;    fuzzy integral method;    fuzzy demand;    fuzzy programming technique;   

DOI  :  10.3390/jrfm15060239

来源: DOAJ

【 摘 要 】

In the inventory theory, to treat the uncertainty, the fuzzy set concept is used in order to provide a feasible approach to deal with the uncertainty problem. In this research work, a fuzzy economic production quantity model with interactive fuzzy demands is proposed. In a production process, in the beginning, the system is assumed to be in a controlled state in which only perfect items are manufactured. Later, the manufacturing production process shifts to be an out-of-control-state system; producing both perfect and imperfect items simultaneously, this is considered as a fuzzy state. The defective production rate is also taken into account as a fuzzy state. Here, the selection process of produced items is realized during the production period. With the aim of studying the practical feasibility of the fuzzy economic production inventory model along with a sensitivity analysis of some parameters, different numerical examples are illustrated.

【 授权许可】

Unknown