38 research outputs found
Optimal Warranty Length for a Rayleigh Distributed Product With Progressive Censoring
[[abstract]]In an intensely competitive market, one way by which manufacturers attract consumers to their products is by providing warranties on the products. Consumers are willing to purchase a high-priced product only if they can be assured about the product's reliability. A longer warranty period usually indicates better reliability. However, offering an unlimited warranty is unrealistic because maintaining such a policy needs very high cost. In this article, we investigate a decision problem under the warranty which is a combination of free-replacement, and pro-rata policies. We use a Bayesian approach to determine the optimal warranty lengths. The Rayleigh distribution is employed to describe the product lifetime. An example with real data is presented for illustration.[[journaltype]]國外[[incitationindex]]SCI[[ispeerreviewed]]Y[[booktype]]紙本[[countrycodes]]US
On Progressively Type-II Censored Two-Parameter Rayleigh Distribution
Abstract Recently, Rayleigh distribution has received considerable attention in the statistical literature. In this paper, we consider the point and interval estimation of the functions of the unknown parameters of a two-parameter Rayleigh distribution. First, we obtain the maximum likelihood estimators (MLEs) of the unknown parameters. The MLEs cannot be obtained in explicit forms, and we propose to use the maximization of the profile log-likelihood function to compute the MLEs. We further consider the Bayesian inference of the unknown parameters. The Bayes estimates and the associated credible intervals cannot be obtained in closed forms. We use the importance sampling technique to approximate (compute) the Bayes estimates and the associated credible intervals. For comparison purposes we have also used the exact method to compute the Bayes estimates and the corresponding credible intervals. Monte Carlo simulations are performed to compare the performances of the proposed method, and one data set has been analyzed for illustrative purposes. We further consider the Bayes prediction problem based on the observed samples, and provide the appropriate predictive intervals. A data example has been provided for illustrative purposes
ANALISIS NILAI DAYA TARIK WARRANTY PENDEKATAN SATU DIMENSI UNTUK MEMINIMALISASI BIAYA GARANSI PADA PRODUK MESIN DRYER 16KG PEMANAS LPG DI PT XYZ
Layanan purna jual diberikan oleh perusahaan sebagai strategi dalam memberikan pelayanan dan peningkatan kualitas produk kepada konsumen, yaitu garansi. Garansi produk diberikan setelah memperoleh keputusan mengenai kebijakan warranty yang sesuai. Warranty merupakan jaminan antara produsen dan konsumen bahwa suatu produk tidak akan mengalami kegagalan selama rentang waktu tertentu. Daya tarik warranty terdiri dari tiga pengukuran antara lain masa warranty, biaya warranty, dan kebijakan warranty. Pada tugas akhir ini, membahas ketiga daya tarik warranty dengan pendekatan satu dimensi, hal ini dikarenakan objek penelitian adalah produk elektronik yaitu produk Mesin Dryer 16Kg Pemanas LPG yang ada pada PT XYZ. Uji distribusi terpilih untuk mencari nilai MTTF dan MTTR adalah Weibull, dimana memiliki pola kerusakan yang tidak beraturan dan tidak dapat diprediksi. Adapun masa warranty (MTTF) yang dihasilkan adalah 94,87 hari. Menentukan biaya garansi melalui pendekatan satu dimensi, yaitu dengan dua kebijakan yang akan dibandingkan antara lain Free Replacement Warranty (FRW), dan Pro-Rata Warranty (PRW). Biaya garansi yang dapat diberikan oleh perusahaan adalah biaya garansi dengan kebijakan PRW yaitu sebesar Rp 27.918.392,00. Penulis memberikan usulan yaitu memberikan waktu pemeriksaan terhadap produk yang telah dibeli dan digunakan pertama kali oleh konsumen selama masa warranty secara gratis dimana hal ini sebagai salah satu strategi upaya mengurangi ongkos garansi perusahaan yaitu setelah produk beroperasi selama 1474,790785 jam atau 2,048 bulan.
Kata kunci : warranty, kebijakan satu dimensi, daya tarik warrant
Imprecise inference for warranty contract analysis
a b s t r a c t This paper presents an investigation into generalised Bayesian analysis of warranty contracts, using sets of prior distributions within the theory of imprecise probability. Explicit expressions are derived for optimal lower and upper bounds for the expected profit for the manufacturer of a product, corresponding to an imprecise negative binomial model for which two sets of prior distributions are studied. The results can be used to set a maximum value of compensation such that the manufacturer's expected profit remains positive, under vague prior knowledge
Imprecise inference for warranty contract analysis
Abstract This paper presents an investigation into generalized Bayesian analysis of warranty contracts, using sets of prior distributions within the theory of imprecise probability. Explicit expressions are derived for optimal lower and upper bounds for the expected pro…t for the manufacturer of a product, corresponding to an imprecise negative binomial model for which two sets of prior distributions are studied. The results can be used to set a maximum value of compensation such that the manufacturer's expected pro…t remains positive, under vague prior knowledge