This paper develops a sustainable integrated inventory model for maximizing profit with a controllable lead time, discrete setup cost reduction, and consideration of environmental issues. Contrary to the available literature, this paper considers a discrete setup cost for the vendor, thus making the integrated model sustainable. The customer’s demand is assumed to be selling-price dependent to increase the number of sales, and the lead time demand follows a Poisson distribution. The integrated model is used to optimized the total shipment number, volume of shipments, safety factor, investments, selling-price, and probability of moving between the “in-control” to “out-of-control” states. An algorithm is developed to obtain the numerical results. Numerical examples and sensitivity analyses are given to illustrate the model.
Accepté le :
DOI : 10.1051/ro/2018009
Mots-clés : Discrete setup cost reduction, Poisson distributed leadtime, variable safety factor, selling-price-dependent demand, shortage
@article{RO_2019__53_1_39_0,
author = {Dey, Bikash Koli and Sarkar, Biswajit and Sarkar, Mitali and Pareek, Sarla},
title = {An integrated inventory model involving discrete setup cost reduction, variable safety factor, selling price dependent demand, and investment},
journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
pages = {39--57},
publisher = {EDP-Sciences},
volume = {53},
number = {1},
year = {2019},
doi = {10.1051/ro/2018009},
zbl = {1414.90037},
language = {en},
url = {http://www.numdam.org/articles/10.1051/ro/2018009/}
}
TY - JOUR AU - Dey, Bikash Koli AU - Sarkar, Biswajit AU - Sarkar, Mitali AU - Pareek, Sarla TI - An integrated inventory model involving discrete setup cost reduction, variable safety factor, selling price dependent demand, and investment JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2019 SP - 39 EP - 57 VL - 53 IS - 1 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/ro/2018009/ DO - 10.1051/ro/2018009 LA - en ID - RO_2019__53_1_39_0 ER -
%0 Journal Article %A Dey, Bikash Koli %A Sarkar, Biswajit %A Sarkar, Mitali %A Pareek, Sarla %T An integrated inventory model involving discrete setup cost reduction, variable safety factor, selling price dependent demand, and investment %J RAIRO - Operations Research - Recherche Opérationnelle %D 2019 %P 39-57 %V 53 %N 1 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/ro/2018009/ %R 10.1051/ro/2018009 %G en %F RO_2019__53_1_39_0
Dey, Bikash Koli; Sarkar, Biswajit; Sarkar, Mitali; Pareek, Sarla. An integrated inventory model involving discrete setup cost reduction, variable safety factor, selling price dependent demand, and investment. RAIRO - Operations Research - Recherche Opérationnelle, Tome 53 (2019) no. 1, pp. 39-57. doi : 10.1051/ro/2018009. http://www.numdam.org/articles/10.1051/ro/2018009/
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