TY - JOUR
T1 - A joint inventory model with reliability, carbon emission, and inspection errors in a defective production system
AU - Sangal, Isha
AU - Shaw, Bijoy Kumar
AU - Sarkar, Biswajit
AU - Guchhait, Rekha
N1 - Publisher Copyright:
© 2020 Faculty of Organizational Sciences, Belgrade. All rights reserved.
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2020/9/22
Y1 - 2020/9/22
N2 - Nowadays, environment is an important concern of industries parallel to the economy. In this direction, a joint vendor-buyer model is exhibited where the system reliability and inspection errors are discussed along with the carbon emission issue. The main goal of this model is to obtain the optimum investment, shipment size, reliability and lead time even the inspection errors present in the system. A reliability dependent unit production cost is utilized to raise the machinery system reliability. Transporta-tion of products use the single-setup-multi-unequal-delivery (SSMUD) policy to reduce carbon emission. Mathematical problem is solved analytically and a quasi-closed-form solution is found. Total cost is minimized with the optimum level of decision variables. Globality of the decisions is proved by Hessian matrix. Results demonstrate that the total cost is minimized even though the optimum solutions are obtained in quasi-closed-form. Numerical example is elaborated to test the validity of the model and to clarify the comparison among SSSD, SSMD, and SSMUD policies.
AB - Nowadays, environment is an important concern of industries parallel to the economy. In this direction, a joint vendor-buyer model is exhibited where the system reliability and inspection errors are discussed along with the carbon emission issue. The main goal of this model is to obtain the optimum investment, shipment size, reliability and lead time even the inspection errors present in the system. A reliability dependent unit production cost is utilized to raise the machinery system reliability. Transporta-tion of products use the single-setup-multi-unequal-delivery (SSMUD) policy to reduce carbon emission. Mathematical problem is solved analytically and a quasi-closed-form solution is found. Total cost is minimized with the optimum level of decision variables. Globality of the decisions is proved by Hessian matrix. Results demonstrate that the total cost is minimized even though the optimum solutions are obtained in quasi-closed-form. Numerical example is elaborated to test the validity of the model and to clarify the comparison among SSSD, SSMD, and SSMUD policies.
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U2 - 10.2298/YJOR190415020S
DO - 10.2298/YJOR190415020S
M3 - Article
AN - SCOPUS:85095873027
VL - 30
SP - 379
EP - 396
JO - Yugoslav Journal of Operations Research
JF - Yugoslav Journal of Operations Research
SN - 0354-0243
IS - 2
ER -