Optimization of sample size and order size in an inventory model with quality inspection and return of defective items

Cheikhrouhou, Naoufel (Haute école de gestion de Genève, HES-SO // Haute Ecole Spécialisée de Suisse Occidentale) ; Sarkar, Biswajit (Department of Industrial & Management Engineering, Hanyang University, Ansan, South Korea) ; Ganguly, Baishakhi (Department of Mathematics & Statistics, Banasthali Vidyapith, Vanasthali, Rajasthan, India) ; Malik, Asif Iqbal (Department of Industrial & Management Engineering, Hanyang University, Ansan, South Korea) ; Batista, Rafael (Laboratory of Management and Production Processes, Swiss Federal Institute of Technology, Lausanne (EPFL), Switzerland) ; Lee, Young Hae (Department of Industrial & Management Engineering, Hanyang University, Ansan, South Korea)

To ensure all products as perfect, inspection is essential, even though it is not possible to inspect all products after producing them like some special type products as plastic joint for the water pipe. In this direction, this paper develops an inventory model with lot inspection policy. With the help of lot inspection, all products need not to be verified still the retailer can decide the quality of products during inspection. If retailer founds products as imperfect quality, the products are sent back to supplier. As it is lot inspection, mis-clarification errors (Type-I error and Type-II error) are introduced to model the problem. Two possible cases are discussed for sending back products as defective lots are immediately withdrawn from the system and send back to supplier with retailer’s payment and for second case, retailer sends defective products during receiving next lot from supplier with supplier’s investment, like in food industry or in hygiene product industry. The model is solved analytically and results indicate that optimal order size and sample size are intrinsically linked and maximize the total profit. Numerical examples, graphical representations, and sensitivity analysis are given to illustrate the model. The results suggest that sending defective products maintaining the first case is the more profitable than the second case.

Article Type:
Economie et Services
HEG - Genève
CRAG - Centre de Recherche Appliquée en Gestion
23 p.
Published in:
Annals of Operations Research
Numeration (vol. no.):
2018, vol. 271, no 2, pp. 445–467
Appears in Collection:

 Record created 2017-10-09, last modified 2020-10-27

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