Generalized Sooner Waiting Time Problems in a Sequence of Trinary Trials

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2016

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Elsevier Science Bv

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Industrial Engineering
(1998)
Industrial Engineering is a field of engineering that develops and applies methods and techniques to design, implement, develop and improve systems comprising of humans, materials, machines, energy and funding. Our department was founded in 1998, and since then, has graduated hundreds of individuals who may compete nationally and internationally into professional life. Accredited by MÜDEK in 2014, our student-centered education continues. In addition to acquiring the knowledge necessary for every Industrial engineer, our students are able to gain professional experience in their desired fields of expertise with a wide array of elective courses, such as E-commerce and ERP, Reliability, Tabulation, or Industrial Engineering Applications in the Energy Sector. With dissertation projects fictionalized on solving real problems at real companies, our students gain experience in the sector, and a wide network of contacts. Our education is supported with ERASMUS programs. With the scientific studies of our competent academic staff published in internationally-renowned magazines, our department ranks with the bests among other universities. IESC, one of the most active student networks at our university, continues to organize extensive, and productive events every year.

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Abstract

Let {xi(n), n >= 1} be a sequence of independent trials with three possible outcomes 0, 1, 2 labeled as failure, success of type I and success of type II, respectively. Suppose that at each time a success of type I (type II) occurs in {xi(n), n >= 1} a random reward of type I (type II) is received. We obtain distributions of the number of trials until either the sum of consecutive rewards of type I is equal to or exceeds the level k(1) or the sum of consecutive rewards of type II is equal to or exceeds the level k(2) under two different schemes. (C) 2016 Elsevier B.V. All rights reserved.

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Xie, Min/0000-0002-8500-8364; Eryilmaz, Serkan/0000-0002-2108-1781; Gong, Min/0000-0002-8818-8604
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Xie, Min ORCID logo
Eryilmaz, Serkan ORCID logo
Gong, Min ORCID logo

Keywords

Exact distribution, Sooner waiting time, Trinary trials

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Q4

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Volume

115

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Start Page

70

End Page

78

URI

https://doi.org/10.1016/j.spl.2016.04.003
 https://hdl.handle.net/20.500.14411/646

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