IJPAM: Volume 106, No. 2 (2016)

GENERAL MANPOWER-SCBZ MACHINE SYSTEM WITH
MARKOVIAN PRODUCTION GENERAL SALES
AND GENERAL RECRUITMENT

M. Sneha Latha$^1$, P. Sekar$^2$, R. Ramanarayanan$^3$
$^1$SRM University
Chennai, Tamil Nadu, INDIA
$^2$C. Kandaswami Naidu College for Men
Anna Nagar, Chennai, Tamil Nadu, INDIA
$^3$Vel Tech University
Chennai, INDIA


Abstract. Two Manpower planning models with different recruitment patterns are studied. During the operation time a machine produces random number of products. After the operation time, the sale time starts, which has one among two distinct distributions depending on the magnitude of production is within or exceeding a random threshold. In this paper, the operation times have SCBZ property, production time has exponential distribution and the man power system, operation time, sales and recruitment times have general distributions. Joint transforms of the variables, their means and the covariance of operation time and recruitment time with numerical results are presented.

Received: August 27, 2015

AMS Subject Classification: 91B70

Key Words and Phrases: departure and recruitments, failure and repairs, production and sale times, joint transforms

Download paper from here.



DOI: 10.12732/ijpam.v106i2.8 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 106
Issue: 2
Pages: 443 - 452


Google Scholar; DOI (International DOI Foundation); WorldCAT.

CC BY This work is licensed under the Creative Commons Attribution International License (CC BY).