ISSN 2394-5125
 

Research Article 


STUDY OF FUZZY INVENTORY MODEL WITH DEMAND DECLINING EXPONENTIALLY AND TIME DEPENDENT DETERIORATION

Dr. Amit Kumar Vats, Dr. Anuj Kumar.

Abstract
With the advancement in technologies such as smartphone, laptops and so for a thin true
framework, many single-use products such as calculators, MP3 players, simple to use computerized cameras
have been superseded by portable applications and services in laptops. In fact, the interest of such sort of
single-use products is declining quickly. The music tape cassette industry performed great until the disclosure of
compact discs, turning the music cassette market into a declining market. In the real world system, there are
many more items for which demand rates are falling like that of black and white TV, keypad cell phones,
compact disc, and bicycle, etc. These issues are carried out by employing exponentially declining demand that
has been considered in the proposed paper. In this paper, two types of fuzzy inventory models have been
discussed with the formation of a crisp inventory model in which demand declining exponentially. The proposed
inventory models are free from shortages and the holding cost is linearly dependent on time with inflation. Time
proportional deterioration has also been used in these inventory models. The approach of the triangular fuzzy
number for different parameters has involved in the fuzzy inventory model. First, we have optimized the total
inventory cost in the crisp inventory model and then defuzzified it in fuzzy inventory models with the suitable
use of signed distance technique after applying fuzziness in parameters. A fruitful comparison between the
numerical results of the crisp inventory model and fuzzy inventory models also has been established with
sufficient illustration.

Key words: Fuzzy inventory, deterioration, inflation, triangular fuzzy number, declining demand, signed distance function.


 
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Pubmed Style

Dr. Amit Kumar Vats, Dr. Anuj Kumar. STUDY OF FUZZY INVENTORY MODEL WITH DEMAND DECLINING EXPONENTIALLY AND TIME DEPENDENT DETERIORATION. JCR. 2020; 7(16): 3282-3300. doi:10.31838/jcr.07.16.423


Web Style

Dr. Amit Kumar Vats, Dr. Anuj Kumar. STUDY OF FUZZY INVENTORY MODEL WITH DEMAND DECLINING EXPONENTIALLY AND TIME DEPENDENT DETERIORATION. http://www.jcreview.com/?mno=132240 [Access: May 31, 2021]. doi:10.31838/jcr.07.16.423


AMA (American Medical Association) Style

Dr. Amit Kumar Vats, Dr. Anuj Kumar. STUDY OF FUZZY INVENTORY MODEL WITH DEMAND DECLINING EXPONENTIALLY AND TIME DEPENDENT DETERIORATION. JCR. 2020; 7(16): 3282-3300. doi:10.31838/jcr.07.16.423



Vancouver/ICMJE Style

Dr. Amit Kumar Vats, Dr. Anuj Kumar. STUDY OF FUZZY INVENTORY MODEL WITH DEMAND DECLINING EXPONENTIALLY AND TIME DEPENDENT DETERIORATION. JCR. (2020), [cited May 31, 2021]; 7(16): 3282-3300. doi:10.31838/jcr.07.16.423



Harvard Style

Dr. Amit Kumar Vats, Dr. Anuj Kumar (2020) STUDY OF FUZZY INVENTORY MODEL WITH DEMAND DECLINING EXPONENTIALLY AND TIME DEPENDENT DETERIORATION. JCR, 7 (16), 3282-3300. doi:10.31838/jcr.07.16.423



Turabian Style

Dr. Amit Kumar Vats, Dr. Anuj Kumar. 2020. STUDY OF FUZZY INVENTORY MODEL WITH DEMAND DECLINING EXPONENTIALLY AND TIME DEPENDENT DETERIORATION. Journal of Critical Reviews, 7 (16), 3282-3300. doi:10.31838/jcr.07.16.423



Chicago Style

Dr. Amit Kumar Vats, Dr. Anuj Kumar. "STUDY OF FUZZY INVENTORY MODEL WITH DEMAND DECLINING EXPONENTIALLY AND TIME DEPENDENT DETERIORATION." Journal of Critical Reviews 7 (2020), 3282-3300. doi:10.31838/jcr.07.16.423



MLA (The Modern Language Association) Style

Dr. Amit Kumar Vats, Dr. Anuj Kumar. "STUDY OF FUZZY INVENTORY MODEL WITH DEMAND DECLINING EXPONENTIALLY AND TIME DEPENDENT DETERIORATION." Journal of Critical Reviews 7.16 (2020), 3282-3300. Print. doi:10.31838/jcr.07.16.423



APA (American Psychological Association) Style

Dr. Amit Kumar Vats, Dr. Anuj Kumar (2020) STUDY OF FUZZY INVENTORY MODEL WITH DEMAND DECLINING EXPONENTIALLY AND TIME DEPENDENT DETERIORATION. Journal of Critical Reviews, 7 (16), 3282-3300. doi:10.31838/jcr.07.16.423