Abstract
The paper deals with an economic manufacturing quantity (EMQ) model for time-dependent (quadratic) demand pattern. Every manufacturing sector wants to produce perfect quality items. But in long run process, there may arise different types of difficulties like labor problem, machinery capabilities problems, etc.; due to that the machinery systems shift from in-control state to out-of-control state as a result the manufacturing systems produce imperfect quality items. The imperfect items are reworked at a cost to become the perfect one. The rework cost may be reduced by improvements in product reliability i.e.; the production process depend on time and also the reliability parameter. We want to determine the optimal product reliability and production rate that achieves the biggest total integrated profit for an imperfect manufacturing process using Euler-Lagrange theory to build up the necessary and sufficient conditions for optimality of the dynamic variables. Finally, a numerical example is discussed to test the model which is illustrated graphically also.
| Original language | English |
|---|---|
| Pages (from-to) | 13543-13548 |
| Number of pages | 6 |
| Journal | Expert Systems with Applications |
| Volume | 38 |
| Issue number | 11 |
| DOIs | |
| Publication status | Published - 2011 Oct 1 |
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All Science Journal Classification (ASJC) codes
- Engineering(all)
- Computer Science Applications
- Artificial Intelligence
Cite this
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An imperfect production process for time varying demand with inflation and time value of money - An EMQ model. / Sarkar, Biswajit; Sana, Shib Sankar; Chaudhuri, Kripasindhu.
In: Expert Systems with Applications, Vol. 38, No. 11, 01.10.2011, p. 13543-13548.Research output: Contribution to journal › Article
TY - JOUR
T1 - An imperfect production process for time varying demand with inflation and time value of money - An EMQ model
AU - Sarkar, Biswajit
AU - Sana, Shib Sankar
AU - Chaudhuri, Kripasindhu
PY - 2011/10/1
Y1 - 2011/10/1
N2 - The paper deals with an economic manufacturing quantity (EMQ) model for time-dependent (quadratic) demand pattern. Every manufacturing sector wants to produce perfect quality items. But in long run process, there may arise different types of difficulties like labor problem, machinery capabilities problems, etc.; due to that the machinery systems shift from in-control state to out-of-control state as a result the manufacturing systems produce imperfect quality items. The imperfect items are reworked at a cost to become the perfect one. The rework cost may be reduced by improvements in product reliability i.e.; the production process depend on time and also the reliability parameter. We want to determine the optimal product reliability and production rate that achieves the biggest total integrated profit for an imperfect manufacturing process using Euler-Lagrange theory to build up the necessary and sufficient conditions for optimality of the dynamic variables. Finally, a numerical example is discussed to test the model which is illustrated graphically also.
AB - The paper deals with an economic manufacturing quantity (EMQ) model for time-dependent (quadratic) demand pattern. Every manufacturing sector wants to produce perfect quality items. But in long run process, there may arise different types of difficulties like labor problem, machinery capabilities problems, etc.; due to that the machinery systems shift from in-control state to out-of-control state as a result the manufacturing systems produce imperfect quality items. The imperfect items are reworked at a cost to become the perfect one. The rework cost may be reduced by improvements in product reliability i.e.; the production process depend on time and also the reliability parameter. We want to determine the optimal product reliability and production rate that achieves the biggest total integrated profit for an imperfect manufacturing process using Euler-Lagrange theory to build up the necessary and sufficient conditions for optimality of the dynamic variables. Finally, a numerical example is discussed to test the model which is illustrated graphically also.
UR - http://www.scopus.com/inward/record.url?scp=79959940448&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=79959940448&partnerID=8YFLogxK
U2 - 10.1016/j.eswa.2011.04.044
DO - 10.1016/j.eswa.2011.04.044
M3 - Article
AN - SCOPUS:79959940448
VL - 38
SP - 13543
EP - 13548
JO - Expert Systems with Applications
JF - Expert Systems with Applications
SN - 0957-4174
IS - 11
ER -