Yıl 2018, Cilt 47, Sayı 3, Sayfalar 685 - 708 2018-06-01
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## Design of economically and statistically optimal sampling plans

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This paper attempts to develop four types of acceptance sampling plans under the objectives of minimizing the total loss to the producer and consumer and maximizing the rate of approaching to the ideal operating characteristic (OC) curve when the quality characteristic follows a normal distribution and has lower specication limit. To provide the desired protection for both the producer and the consumer, two constraints are considered that balance both producer and consumer risks by using two specied points on OC curve. The first objective function of this model is constructed based on the total expected loss by incorporating the one-sided minimum specication Taguchi loss function, and the second one is constructed based on conformity to the ideal OC curve by using minimum angle method. Also, the optimal solution of the proposed plans is determined for 10 different scenarios of process parameters. Furthermore, the optimal solution of these plans is determined when only one of the objective functions is considered.

Quality control, Acceptance sampling plan, Loss function, Minimum angle method, Acceptable quality level, Limiting quality level
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 Bibtex @araştırma makalesi { hujms440364, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {2651-477X}, eissn = {2651-477X}, address = {Hacettepe Üniversitesi}, year = {2018}, volume = {47}, pages = {685 - 708}, doi = {}, title = {Design of economically and statistically optimal sampling plans}, key = {cite}, author = {Nezhad, Mohammad Saber Fallah and Saredorahi, Faeze Zahmatkesh and Owlia, Mohammad Saleh and Zad, Mohammad Ali Vahdat} } APA Nezhad, M , Saredorahi, F , Owlia, M , Zad, M . (2018). Design of economically and statistically optimal sampling plans. Hacettepe Journal of Mathematics and Statistics, 47 (3), 685-708. Retrieved from http://dergipark.gov.tr/hujms/issue/38121/440364 MLA Nezhad, M , Saredorahi, F , Owlia, M , Zad, M . "Design of economically and statistically optimal sampling plans". Hacettepe Journal of Mathematics and Statistics 47 (2018): 685-708 Chicago Nezhad, M , Saredorahi, F , Owlia, M , Zad, M . "Design of economically and statistically optimal sampling plans". Hacettepe Journal of Mathematics and Statistics 47 (2018): 685-708 RIS TY - JOUR T1 - Design of economically and statistically optimal sampling plans AU - Mohammad Saber Fallah Nezhad , Faeze Zahmatkesh Saredorahi , Mohammad Saleh Owlia , Mohammad Ali Vahdat Zad Y1 - 2018 PY - 2018 N1 - DO - T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 685 EP - 708 VL - 47 IS - 3 SN - 2651-477X-2651-477X M3 - UR - Y2 - 2016 ER - EndNote %0 Hacettepe Journal of Mathematics and Statistics Design of economically and statistically optimal sampling plans %A Mohammad Saber Fallah Nezhad , Faeze Zahmatkesh Saredorahi , Mohammad Saleh Owlia , Mohammad Ali Vahdat Zad %T Design of economically and statistically optimal sampling plans %D 2018 %J Hacettepe Journal of Mathematics and Statistics %P 2651-477X-2651-477X %V 47 %N 3 %R %U ISNAD Nezhad, Mohammad Saber Fallah , Saredorahi, Faeze Zahmatkesh , Owlia, Mohammad Saleh , Zad, Mohammad Ali Vahdat . "Design of economically and statistically optimal sampling plans". Hacettepe Journal of Mathematics and Statistics 47 / 3 (Haziran 2018): 685-708.