Dynamic Stochastic Models for Time-Dependent Ordered Paired Comparison Systems

The continuous-time Markov model of a multigrade organization is extended in several ways. Firstly the internal transitions and the leaving process are generalized to a semi-Markov formulation which allows for the inclusion of well-authenticated leaving distributions such as the mixed exponential distribution. The previous assumption of Poisson recruitment is then generalized to allow for a time-dependent Poisson arrival distribution in which the instantaneous probability of an arrival is a mixture of exponential terms. Finally we extend the capital-related manpower model to describe a multigrade organization.

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Dynamic Stochastic Models from Empirical Data.

Journal of the American Statistical Association ◽

10.2307/2286495 ◽

1977 ◽

Vol 72 (360) ◽

pp. 927

Author(s):

William W. Davis ◽

R. L. Kashyap ◽

A. Ramachandra Rao

Keyword(s):

Stochastic Models ◽

Empirical Data ◽

Dynamic Stochastic

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MODELING MANUFACTURERS' AND CUSTOMERS' COSTS FOR COST SHARING LIFETIME WARRANTY

Asia Pacific Journal of Operational Research ◽

10.1142/s0217595912500248 ◽

2012 ◽

Vol 29 (04) ◽

pp. 1250024

Author(s):

ANISUR RAHMAN ◽

GOPINATH CHATTOPADHYAY

Keyword(s):

Service Life ◽

Stochastic Models ◽

Cost Sharing ◽

Poor Quality ◽

Time Dependent ◽

Cost Models ◽

Reliable Service ◽

Dependent Failures ◽

Warranty Policies

Lifetime warranties are becoming more popular as these types of warranties provide assurance for a longer reliable service life, protection of customers against poor quality and the potential high cost of failure occurring during the long uncertain life of products. Chattopadhyay and Rahman (2008) proposed taxonomy for Lifetime warranty policies and developed cost models for Free rectification lifetime warranty (FRLTW) policies. In line with Chattopadhyay and Rahman, in this paper, stochastic models for two most potential and currently practiced Cost sharing lifetime warranty (CSLTW) policies, Specific parts excluded lifetime warranty and Limit on individual cost lifetime warranty have been developed to estimate the customers' and manufacturers' costs. The developed models capture the uncertainties of lifetime warranty coverage period and implication in offering such warranties on both manufacturer and customers. The developed models are analyzed using illustrative examples considering products with time-dependent failures.

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Models for the Directional Distribution of the Diffuse Sky Radiance

Journal of Solar Energy Engineering ◽

10.1115/1.2929641 ◽

1990 ◽

Vol 112 (2) ◽

pp. 102-109 ◽

Cited By ~ 7

Author(s):

F. M. F. Siala ◽

M. A. Rosen ◽

F. C. Hooper

Keyword(s):

Angular Distribution ◽

Stochastic Models ◽

Continuous Distribution ◽

Time Dependent ◽

Distribution Models ◽

Directional Distribution ◽

Sky Radiance ◽

Semi Empirical ◽

Sky Type

Both traditional and recently proposed models for the angular distribution of diffuse sky radiance are reviewed and compared. The models considered include basic models, sky-type-specific models, empirical and semi-empirical continuous distribution models, models which account for time-dependent cloud effects and stochastic models.

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