Design of Fuzzy Economic Order Quantity (EOQ) Model in the Presence of Inspection Errors in Single Sampling Plans

  • Julia T. Thomas Department of Mathematics, National Institute of Technology, Calicut, India
  • Mahesh Kumar Department of Mathematics, National Institute of Technology, Calicut, India
Keywords: EOQ, imperfect quality, acceptance sampling plan, inspection errors, backorders


Inventory management is the core of the supply chain management system, in which the economic order quantity (EOQ) model is a fundamental inventory model. This paper develops a fuzzy EOQ model in the presence of inspection errors in single sampling plans. The model assumes probability of mis-classifications. An inventory system is hypothesized where the orders undergo acceptance sampling, back-orders are eliminated, and defectives are set aside from the inventory. Due to the presence of vagueness in real time data, the rate at which an order turn to be scrap, the costs of holding, and the back-orders are characterized by fuzzy random variables. Since total profit involved is a random variable, maximum total expected profit is obtained. Some numerical examples are presented, and a sensitivity analysis study is carried out to check the validity of the model developed.


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Author Biographies

Julia T. Thomas, Department of Mathematics, National Institute of Technology, Calicut, India

Julia T. Thomas is a Research Scholar in the Department of Mathematics at National Institute of Technology, Calicut, Kerala. Her research deals with Reliability Theory, Acceptance Sampling Plans and Supply Chain Management.

Mahesh Kumar, Department of Mathematics, National Institute of Technology, Calicut, India

Mahesh Kumar received his Ph.D. degree in applied statistics from Indian Institute of Technology (IIT) Bombay in the year 2006. His current research includes stress-strength reliability, statistical reliability, applied probability, acceptance sampling plans, and fuzzy reliability estimation, stochastic programming, and estimation problems in epidemic models. He is presently a faculty in the Department of Mathematics, NIT Calicut, India.


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