An Inventory Model for Non-Instantaneously Deteriorating Items with Nonlinear Stock-Dependent Demand, Hybrid Payment Scheme and Partially Backlogged Shortages

被引：23

作者：

Khan, Md Al-Amin ^{[1
]}

Shaikh, Ali Akbar ^{[2
]}

Cardenas-Barron, Leopoldo Eduardo ^{[3
]}

Mashud, Abu Hashan Md ^{[4
]}

Trevino-Garza, Gerardo ^{[3
]}

Cespedes-Mota, Armando ^{[3
]}

机构：

[1] Jahangirnagar Univ, Dept Math, Dhaka 1342, Bangladesh

[2] Univ Burdwan, Dept Math, Burdwan 713104, W Bengal, India

[3] Tecnol Monterrey, Sch Sci & Engn, Ave Eugenio Garza Sada 2501, Monterrey 64849, Mexico

[4] Hajee Mohammad Danesh Sci & Technol Univ, Dept Math, Dinajpur 5200, Bangladesh

来源：

MATHEMATICS | 2022年 / 10卷 / 03期

关键词：

inventory; non-instantaneous deterioration; partial backlogging; stock-dependent demand; ADVANCE PAYMENT; EOQ MODEL; PERMISSIBLE DELAY; HOLDING COST; PRICE; SYSTEM; POLICY; TIME; PRESERVATION;

D O I：

10.3390/math10030434

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This research work presents an inventory model that involves non-instantaneous deterioration, nonlinear stock-dependent demand, and partially backlogged shortages by considering the length of the waiting time under a hybrid prepayment and cash-on-delivery scheme. The corresponding inventory problem is formulated as a nonlinear constraint optimization problem. The theoretical results for the unique optimal solution are presented, and eight special cases are also identified. Moreover, a salient theoretical result is provided: a certain condition where the optimal inventory policy may or may not involve deterioration. Finally, two numerical examples are provided using a sensitivity analysis to show the validity range of the inventory parameters.

引用

页数：23

共 50 条

[41] Inventory Model for Ramp Type Demand, Time Dependent Deteriorating Items with Salvage Value and Shortages
Mishra, Vinod Kumar
Singh, Lal Sahab
INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2011, 23 (D11): : 84 - 91
[42] A two-warehouse inventory model for deteriorating items with partially backlogged demand rate under trade credit policies
Mondal, Rajan
Das, Subhajit
Akhtar, Md
Shaikh, Ali Akbar
Bhunia, Asoke Kumar
INTERNATIONAL JOURNAL OF SYSTEM ASSURANCE ENGINEERING AND MANAGEMENT, 2024, 15 (07) : 3350 - 3367
[43] A two-warehouse inventory model for non-instantaneous deteriorating items with interval-valued inventory costs and stock-dependent demand under inflationary conditions
Akbar Shaikh, Ali
Eduardo Cardenas-Barron, Leopoldo
Tiwari, Sunil
NEURAL COMPUTING & APPLICATIONS, 2019, 31 (06): : 1931 - 1948
[44] A two-warehouse inventory model for non-instantaneous deteriorating items with interval-valued inventory costs and stock-dependent demand under inflationary conditions
Ali Akbar Shaikh
Leopoldo Eduardo Cárdenas-Barrón
Sunil Tiwari
Neural Computing and Applications, 2019, 31 : 1931 - 1948
[45] An optimal replenishment policy for non-instantaneous deteriorating items with stock-dependent demand and partial backlogging
Wu, KS
Ouyang, LY
Yang, CT
INTERNATIONAL JOURNAL OF PRODUCTION ECONOMICS, 2006, 101 (02) : 369 - 384
[46] A Completely Backlogged Two-Warehouse Inventory Model for Non-Instantaneous Deteriorating Items with Time and Selling Price Dependent Demand
Nath B.K.
Sen N.
International Journal of Applied and Computational Mathematics, 2021, 7 (4)
[47] On an inventory model for deteriorating items with stock dependent and time-varying demand rates
Balkhi, ZT
Benkherouf, L
COMPUTERS & OPERATIONS RESEARCH, 2004, 31 (02) : 223 - 240
[48] An economic production lot size model with deteriorating items, stock-dependent demand, inflation, and partial backlogging
Jolai, Fariborz
Tavakkoli-Moghaddam, R.
Rabbani, M.
Sadoughian, M. R.
APPLIED MATHEMATICS AND COMPUTATION, 2006, 181 (01) : 380 - 389
[49] Two-warehouse production model for deteriorating inventory items with stock-dependent demand under inflation over a random planning horizon
Das, Debasis
Kar, Mohuya B.
Roy, Arindam
Kar, Samarjit
CENTRAL EUROPEAN JOURNAL OF OPERATIONS RESEARCH, 2012, 20 (02) : 251 - 280
[50] An Inventory Model for Deteriorating Items with Permissible Delay in Payment and Inflation Under Price Dependent Demand
Pal, Manisha
Maity, Hare Krishna
PAKISTAN JOURNAL OF STATISTICS AND OPERATION RESEARCH, 2012, 8 (03) : 583 - 592

← 1 2 3 4 5 →