Loading [a11y]/accessibility-menu.js
Research Article
BibTex RIS Cite
Year 2016, Volume: 45 Issue: 3, 929 - 955, 01.06.2016

Abstract

References

  • . .

A multi-item EPQ model with imperfect production process for time varying demand with shortages

Year 2016, Volume: 45 Issue: 3, 929 - 955, 01.06.2016

Abstract

In this paper, economic production quantity(EPQ)models for break-
able or deteriorating items are developed with time dependent linear
variable demands. Here rate of production and holding cost are time
dependent and unit production cost is a function of both production
reliability indicator and production rate. Set-up cost is also partially
production rate dependent. Here two models are developed in optimal
control framework considering the effect of time value of money and
inflation. Shortages are allowed for both the models. The problems
are solved using Eulers-Lagrangian function based on variational
calculus and applying generalized reduced gradient method using
LINGO 13.0 software to determine the optimal reliability indicator (r)
and then corresponding production rates and total profits. Numerical
experiments are performed for both the models to illustrate the models
both numerically and graphically.

References

  • . .
There are 1 citations in total.

Details

Primary Language English
Subjects Statistics
Journal Section Statistics
Authors

P. Majumder

U.k. Bera This is me

M. Maiti This is me

Publication Date June 1, 2016
Published in Issue Year 2016 Volume: 45 Issue: 3

Cite

APA Majumder, P., Bera, U., & Maiti, M. (2016). A multi-item EPQ model with imperfect production process for time varying demand with shortages. Hacettepe Journal of Mathematics and Statistics, 45(3), 929-955.
AMA Majumder P, Bera U, Maiti M. A multi-item EPQ model with imperfect production process for time varying demand with shortages. Hacettepe Journal of Mathematics and Statistics. June 2016;45(3):929-955.
Chicago Majumder, P., U.k. Bera, and M. Maiti. “A Multi-Item EPQ Model With Imperfect Production Process for Time Varying Demand With Shortages”. Hacettepe Journal of Mathematics and Statistics 45, no. 3 (June 2016): 929-55.
EndNote Majumder P, Bera U, Maiti M (June 1, 2016) A multi-item EPQ model with imperfect production process for time varying demand with shortages. Hacettepe Journal of Mathematics and Statistics 45 3 929–955.
IEEE P. Majumder, U. Bera, and M. Maiti, “A multi-item EPQ model with imperfect production process for time varying demand with shortages”, Hacettepe Journal of Mathematics and Statistics, vol. 45, no. 3, pp. 929–955, 2016.
ISNAD Majumder, P. et al. “A Multi-Item EPQ Model With Imperfect Production Process for Time Varying Demand With Shortages”. Hacettepe Journal of Mathematics and Statistics 45/3 (June 2016), 929-955.
JAMA Majumder P, Bera U, Maiti M. A multi-item EPQ model with imperfect production process for time varying demand with shortages. Hacettepe Journal of Mathematics and Statistics. 2016;45:929–955.
MLA Majumder, P. et al. “A Multi-Item EPQ Model With Imperfect Production Process for Time Varying Demand With Shortages”. Hacettepe Journal of Mathematics and Statistics, vol. 45, no. 3, 2016, pp. 929-55.
Vancouver Majumder P, Bera U, Maiti M. A multi-item EPQ model with imperfect production process for time varying demand with shortages. Hacettepe Journal of Mathematics and Statistics. 2016;45(3):929-55.