Year 2020, Volume 49 , Issue 3, Pages 1168 - 1189 2020-06-02

An integrated vendor-buyer model with quadratic demand under inspection policy and preservation technology

Magfura PERVİN [1] , Sankar Kumar ROY [2] , Gerhard-wilhelm WEBER [3]


An integrated vendor-buyer model for deteriorating items is formulated in this study. To control deterioration rate, the vendor adopts preservation technology. Shortages are allowed for both vendor and buyer. During shortage period, the vendor simply doubles the production rate to meet the demand of buyer. The vendor's demand during non-shortage period follows a constant rate but, the demand is a quadratic decreasing function of time in shortage period. The buyer's demand is a quadratic increasing function of time when shortage does not occur but at shortages period, the demand is constant. The buyer accepts an inspection policy for imperfect product. Total cost is calculated for both the model and integrated system. Thereafter, the model is solved by minimizing the total cost. Numerical examples are given to show the applicability of the model. A sensitivity analysis is done to display the realistic applicability of our model and method.
Integrated inventory model, Quadratic demand, Inspection policy, Preservation technology, Optimization
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Primary Language en
Subjects Mathematics
Journal Section Mathematics
Authors

Author: Magfura PERVİN
Institution: Vidyasagar University
Country: India


Orcid: 0000-0003-4478-1534
Author: Sankar Kumar ROY (Primary Author)
Institution: Vidyasagar University
Country: India


Orcid: 0000-0003-0849-7771
Author: Gerhard-wilhelm WEBER
Institution: Poznan University of Technology
Country: Poland


Dates

Publication Date : June 2, 2020

Bibtex @research article { hujms476056, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {2651-477X}, eissn = {2651-477X}, address = {}, publisher = {Hacettepe University}, year = {2020}, volume = {49}, pages = {1168 - 1189}, doi = {10.15672/hujms.476056}, title = {An integrated vendor-buyer model with quadratic demand under inspection policy and preservation technology}, key = {cite}, author = {Pervi̇n, Magfura and Roy, Sankar Kumar and Weber, Gerhard-wilhelm} }
APA Pervi̇n, M , Roy, S , Weber, G . (2020). An integrated vendor-buyer model with quadratic demand under inspection policy and preservation technology . Hacettepe Journal of Mathematics and Statistics , 49 (3) , 1168-1189 . DOI: 10.15672/hujms.476056
MLA Pervi̇n, M , Roy, S , Weber, G . "An integrated vendor-buyer model with quadratic demand under inspection policy and preservation technology" . Hacettepe Journal of Mathematics and Statistics 49 (2020 ): 1168-1189 <https://dergipark.org.tr/en/pub/hujms/issue/54699/476056>
Chicago Pervi̇n, M , Roy, S , Weber, G . "An integrated vendor-buyer model with quadratic demand under inspection policy and preservation technology". Hacettepe Journal of Mathematics and Statistics 49 (2020 ): 1168-1189
RIS TY - JOUR T1 - An integrated vendor-buyer model with quadratic demand under inspection policy and preservation technology AU - Magfura Pervi̇n , Sankar Kumar Roy , Gerhard-wilhelm Weber Y1 - 2020 PY - 2020 N1 - doi: 10.15672/hujms.476056 DO - 10.15672/hujms.476056 T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 1168 EP - 1189 VL - 49 IS - 3 SN - 2651-477X-2651-477X M3 - doi: 10.15672/hujms.476056 UR - https://doi.org/10.15672/hujms.476056 Y2 - 2019 ER -
EndNote %0 Hacettepe Journal of Mathematics and Statistics An integrated vendor-buyer model with quadratic demand under inspection policy and preservation technology %A Magfura Pervi̇n , Sankar Kumar Roy , Gerhard-wilhelm Weber %T An integrated vendor-buyer model with quadratic demand under inspection policy and preservation technology %D 2020 %J Hacettepe Journal of Mathematics and Statistics %P 2651-477X-2651-477X %V 49 %N 3 %R doi: 10.15672/hujms.476056 %U 10.15672/hujms.476056
ISNAD Pervi̇n, Magfura , Roy, Sankar Kumar , Weber, Gerhard-wilhelm . "An integrated vendor-buyer model with quadratic demand under inspection policy and preservation technology". Hacettepe Journal of Mathematics and Statistics 49 / 3 (June 2020): 1168-1189 . https://doi.org/10.15672/hujms.476056
AMA Pervi̇n M , Roy S , Weber G . An integrated vendor-buyer model with quadratic demand under inspection policy and preservation technology. Hacettepe Journal of Mathematics and Statistics. 2020; 49(3): 1168-1189.
Vancouver Pervi̇n M , Roy S , Weber G . An integrated vendor-buyer model with quadratic demand under inspection policy and preservation technology. Hacettepe Journal of Mathematics and Statistics. 2020; 49(3): 1168-1189.