Application of a single sampling plan minimizing the sum of risks in an EOQ model with trade credit

• Autorzy: Veerakumari Pradeepa , Harikrishnan Aruna

Identyfikatory

DOI

10.5277/ord190107

• Języki publikacji: EN

Abstrakty

EN

Acceptance sampling by attributes is a universally used statistical tool for quality control. It is a technique that deals with the decision to accept or reject a batch of goods using defined procedures. An attribute single sampling plan designed under the assumption that the number of defects has a Poisson distribution is the optimal plan whenever the chance of a defect occurring in the manufacturing process is low. This study introduces the incorporation of an attribute single sampling plan minimizing the sum of risks with an economic order quantity (EOQ) model taking into account the possibility of trade credit. The plan ensures the effectiveness of the optimal design based on the minimization of costs including the inspection costs, stock holding costs and ordering costs.

Słowa kluczowe

EN

trade credit; economic order quantity; EOQ; minimum sum of risks; Poisson distribution

PL

kredyt handlowy; EOQ; rozkład Poissona

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Operations Research and Decisions
• Rocznik: 2019
• Tom: Vol. 29, No. 1
• Strony: 121--130
• Opis fizyczny: Bibliogr. 23 poz., tab.

Twórcy

autor

Veerakumari Pradeepa

• Department of Statistics, Bharathiar University, Coimbatore 641046, Tamilnadu, India

autor

Harikrishnan Aruna

• Department of Statistics, Bharathiar University, Coimbatore 641046, Tamilnadu, India, e-mail addresses: [e-mail], [e-mail]

Bibliografia

• [1] CAMERON J.M., Tables for constructing and for computing the operating characteristics of single sampling plans, Ind. Qual. Control,1952, 37–39.
• [2] DODGE H.F., ROMIG H.G., A method of sampling inspection, Bell Syst. Tech. J., 1928, 8, 613–631.
• [3] GOLUB A., Designing single sampling inspection plans when the sample size is fixed, J. Amer. Stat. Assoc., 1953, 48, 278–288.
• [4] GOYAL S.K., Economic order quantity under conditions of permissible delay in payments, J. Oper. Res. Soc., 1985, 36 (4), 335–338.
• [5] HALD A., The compound hypergeometric distribution and a system of single sampling inspection plans based on prior distributions and costs, Technometrics, 1960, 2, 275–340.
• [6] HAIGHT F., Handbook of the Poisson Distribution, Wiley, New York 1967.
• [7] PAL B., SANA S.S., CHAUDRI K.S., Two-echelon competitive integrated supply chain model with price and credit period dependent demand, Int. J. Syst. Sci., 2014, 47 (5), 995–1007.
• [8] PEACH P., An Introduction to Industrial Statistics and Quality Control, 2nd Ed., Edwards and Broughten Raleigh, North Carolina, US, 1947.
• [9] SANA S.S., An economic order quantity model for nonconforming quality products, Serv. Sci., 2012, 4 (4), 331–348.
• [10] SANA S.S., CHAUDRI K.S., A deterministic EOQ model with delays in payments and price–discount offers, Eur. J. Oper. Res., 2008, 184 (2), 509–533.
• [11] SARKAR B., SANA S.S., CHAUDRI K.S., An inventory model with finite replenishment rate, trade credit policy and price–discount offer, J. Ind. Eng., 2013, ID 672504.
• [12] SAXENA N., SINGH S.R., SANA S.S., A green supply chain model of vendor and buyer for remanufacturing, RAIRO Oper. Res., 2017, 51 (4), 1133–1150.
• [13] SCHILLING E.G., NEUBAUER D.V., Acceptance Sampling in Quality Control, CRC Press, Boca Raton 2009.
• [14] SOUNDARARAJAN V., Procedures and tables for construction and selection of chain sampling plan (ChSP-1), J. Qual. Tech., 1978,10 (2), 56–60 (Part I), 1978, 10 (3), 99–103 (Part II).
• [15] SOUNDARARAJAN V., Sampling inspection plans when the sample size is fixed, J. Madras Univ., Section B, 1981, 44, 9–19.
• [16] SOUNDARARAJAN V., GOVINDARAJU K., A note on designing chain sampling plans ChSP-1, The QR J., 1982, 9 (3), 121–123.
• [17] SOUNDARARAJAN V., GOVINDARAJU K., A note on designing single sampling plans, IAPQR Trans., 1983, 8 (1), 37–41.
• [18] SUBRAMANI K., Studies on Designing Attribute Acceptance Sampling Plans with Emphasis on Chain Sampling Plans, PhD Thesis, Bharathiar University, Coimbatore, Tamil Nadu, India, 1991.
• [19] SUBRAMANI K., HARIDOSS V., Selection of multiple deferred state MDS-1 sampling plan for given acceptable quality level and limiting quality level involving minimum sum of risks using weighted Poisson distribution, Int. J. Qual. Res., 2012, 10 (10), 939–949.
• [20] SURESH K.K., KAVITHAMANI M., Selection of SkSP-V with STDS as reference plan involving minimum sum of risks, J. Indian Acad. Math., 2013, 35 (1), 119–130.
• [21] TENG J.T., On the economic order quantity under conditions of permissible delay in payments, J. Oper. Res. Soc., 2002, 53 (8), 915–918.
• [22] TIWARI S., SANA S.S., SARKAR S., Joint economic lot sizing model with stochastic demand and controllable lead-time by reducing ordering cost and setup cost, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales, Serie A, Mathematicas, 1–25.
• [23] TSAO Y.C., Optimal ordering policy under acceptance sampling plan and trade credit financing, Transaction E, Ind. Eng., 2010, 17 (2), 120–128.

Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).