Work performance dependent screening process under preservation technology in an imperfect production system

ABSTRACT

This study presents an EPQ inventory model which provides some imperfect quality products. Initially, due to the existence of all fresh sources, the system remains in good condition, i.e., in-control state. But, after a certain time of production, this system must produce some defective items with the perfect ones, i.e., the system goes into an out-of-control state. Here, the transition time from one state to another state has been considered as a random variable. Besides that, a generalized screening process has been proposed which is based on the work performance of a worker that also depends on time, this is the key contribution of this study. Also, we have considered a preservation investment cost in the manufacturing system to control the defective rate. A generalized stochastic demand function has been proposed. Finally, numerical implications, managerial implications, and conclusions are made for the justification of my proposed model.

KEYWORDS:

• Work performance
• imperfect production
• preservation technology
• screening process
• stochastic demand

Disclosure Statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work was supported by the University Grants Commission [Sr. No. 172001160 and Ref.No: 1160/(CSIR-UGC NET DEC. 2017)].

Notes on contributors

Madhusudan Dolai

Madhusudan Dolai passed M.Sc in applied mathematics  from the Vidyasagar University. He isactively engaged in research in the field of   “Inventory Control” at Vidyasagar University. He is a  JRF (CSIR-UGC)FELLOW, New Delhi, India.

Shyamal Kumar Mondal

Prof. Shyamal Kumar Mondal is a professor in the departmentof Applied Mathematics with Oceanology andComputer Programming of Vidyasagar University in WestBengal, India. He received the MSc and PhD degreein this University. Also he received M. Tech degree inIndian School Of Mines, Dhanbad. He received gold medalawards in BSc and MSc in Vidyasagar University. His research areas are Operations Research,Soft Computing, Inventory Control, Fuzzy Mathematics,Fuzzy Risk Analysis, Soft Sets, Bio-mathematics. Already hehas published more than 100 research papers in different internationaljournals. Till now, 14 students have got their PhDdegree and eight students are registered scholars under hissupervision.