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Volume 23 (1980)
- Issue 4 Pages 295-
- Issue 3 Pages 191-
- Issue 2 Pages 91-
- Issue 1 Pages 1-
Volume 23, Issue 3
Displaying 1-12 of 12 articles from this issue
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Article type: Cover
1980 Volume 23 Issue 3 Pages Cover7-
Published: 1980
Released on J-STAGE: June 27, 2017
JOURNAL FREE ACCESSDownload PDF (64K) -
Article type: Appendix
1980 Volume 23 Issue 3 Pages App5-
Published: 1980
Released on J-STAGE: June 27, 2017
JOURNAL FREE ACCESSDownload PDF (108K) -
Tetsuo MiyamuraArticle type: Article
1980 Volume 23 Issue 3 Pages 191-204
Published: 1980
Released on J-STAGE: June 27, 2017
JOURNAL FREE ACCESSFor independent nonnegative continuous random variables X_1 ,..., X_k , Z = min (X_1 ,..., X_k) and δ_i(i=1,..., k), where δ_i = 1 if Z = X_i and δ_i = 0 otherwise, are statistically independent random variables if and only if the distribution of Xi is written as F_i(x) = 1 - exp(-p_iQ(x)) (i=1,..., k). From this characterization theorem for the random variable Xi, an unbiased estimate for failure rate of distribution function is presented using reliability data in random life testing. A saving of time in a life testing experiment by allowing random censoring is also discussed.View full abstractDownload PDF (727K) -
Masami Kurano, Masami Yasuda, Junichi NakagamiArticle type: Article
1980 Volume 23 Issue 3 Pages 205-223
Published: 1980
Released on J-STAGE: June 27, 2017
JOURNAL FREE ACCESSThis paper studies the stopping problem for random vectors of p components which correspond to the payoffs to a group of p players. The observation process is stopped at the first time when no less than r(1⩽r⩽p) players declare to stop. We call it a majority rule. The object of this paper is to find out a reasonable stopping strategy under a class of these rules, in both cases of finite and infinite decision horizons. We solve our stopping problem by introducing the concept of an equilibrium point in the non-cooperative game theory. Several examples including a variant of the secretary problem are given.View full abstractDownload PDF (930K) -
Yukio HatoyamaArticle type: Article
1980 Volume 23 Issue 3 Pages 224-242
Published: 1980
Released on J-STAGE: June 27, 2017
JOURNAL FREE ACCESSConsider the following replacement problem with trade-in. Suppose a system must operate for T time periods. There is an essential component of the system whose failure results in the failure of the system. There are n alternative types of components. The failure distribution for type i component is assumed to be exponential with rate λ_i. If type i component is replaced by type j component, replacement cost C(i, j) is incurred. The dependency of the replacement cost on the failed component as well as a new component to replace the old one implies that the failed component has some trade-in value or salvage value. The problem is to determine an optimal policy for the purchase of a new type of component supposing type i component has just failed with t time periods remaining. Some properties of the optimal policy are discussed under the assumption that C(i, j) has some cost structure such as a submodular function. In particular if C(i, j) is additive, an explicit form of an optimal policy is derived. The model is then extended to multi-component coherent systems where it is shown that for most of the cases the results obtained for single-component system can be directly applicable.View full abstractDownload PDF (1099K) -
Shusaku HirakiArticle type: Article
1980 Volume 23 Issue 3 Pages 243-267
Published: 1980
Released on J-STAGE: June 27, 2017
JOURNAL FREE ACCESSAn approximate solution method for solving the optimization problem which contains semi-fixed costs represented as a lower semi-continuous step function is developed. The fundamental idea of the algorithm is based on the simplex procedure of linear programming. We define the decrease in the objective function considering twice pivot calculations, and preparing two kinds of simplex tableau we propose the computational procedure to systematically obtain the approximate solution. Also some properties of the pivot calculations are theoretically analyzed. Finally some numerical examples are solved to illustrate the procedure and to test the effectiveness of the algorithm.View full abstractDownload PDF (1021K) -
Tetsuo Ichimori, Hiroaki Ishil, Toshio NishidaArticle type: Article
1980 Volume 23 Issue 3 Pages 268-272
Published: 1980
Released on J-STAGE: June 27, 2017
JOURNAL FREE ACCESSWe give a procedure of solving the weighted minimax flow problem in a polynomial time. The procedure utilizes the capacity modification technique and the binary search method.View full abstractDownload PDF (243K) -
Kazumi YASUI, Mitsuo MOTOORI, Toshio NAKAGAWA, Yoshiya SAWAArticle type: Article
1980 Volume 23 Issue 3 Pages 273-286
Published: 1980
Released on J-STAGE: June 27, 2017
JOURNAL FREE ACCESSA computer system has become widely used in many practical fields as remarkable advances are made in both hardware and software. Such a system with high reliability has been required from both sides of makers and users because failure of the system is sometimes costly and/or dangerous. It is important to maintain the system preventively before failure. The inspection tests such as a warm-up test and an instruction test, which check the performance of the system at periodic intervals, are actually used in many situations. This paper treats the following computer model: The system fails and with probability p, a system failure occurs. Otherwise, the system continues to operate in a hidden failure and after that, a system failure occurs. For the above model, we consider an inspection policy in which the system is checked at periodic intervals to and a hidden failure is detected only through checkings. Then, we obtain the availability and the expected cost per unit of time, using the technique of Markov renewal processes.View full abstractDownload PDF (822K) -
Minoru SakaguchiArticle type: Article
1980 Volume 23 Issue 3 Pages 287-293
Published: 1980
Released on J-STAGE: June 27, 2017
JOURNAL FREE ACCESSThis note reanalyzes a non-zero-sum game version of the secretary problem recently treated by Kurano, Nakagami and Yasuda [3], under a modified formulation of the problem. The equilibrium derived differs from the former one and has an interesting assymptotic behavior which reconfirms a main theorem formerly proved by Presman and Sonin [4]. The equilibrium value in the limit is a positive number which is a unique root in (0,1/2) of a transcendental equation.View full abstractDownload PDF (395K) -
Article type: Appendix
1980 Volume 23 Issue 3 Pages App6-
Published: 1980
Released on J-STAGE: June 27, 2017
JOURNAL FREE ACCESSDownload PDF (166K) -
Article type: Cover
1980 Volume 23 Issue 3 Pages Cover8-
Published: 1980
Released on J-STAGE: June 27, 2017
JOURNAL FREE ACCESSDownload PDF (69K) -
Article type: Cover
1980 Volume 23 Issue 3 Pages Cover9-
Published: 1980
Released on J-STAGE: June 27, 2017
JOURNAL FREE ACCESSDownload PDF (69K)
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