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A periodic review inventory model with stock dependent demand, permissible delay in payment and price discount on backorders

Manisha Pal, +1 more
- 26 Feb 2014 - 
- Vol. 24, Iss: 1, pp 99-110
TLDR
In this article, a periodic review inventory model with stock dependent demand is studied, where the inventory manager offers a price discount to customers who are willing to backorder their demand, and a permissible delay in payments allowed to the inventory managers is also taken into account.
Abstract
In this paper we study a periodic review inventory model with stock dependent demand. When stock on hand is zero, the inventory manager offers a price discount to customers who are willing to backorder their demand. Permissible delay in payments allowed to the inventory manager is also taken into account. Numerical examples are cited to illustrate the model. Keywords : Periodic review model; stock dependent demand; shortage; price discount on backorder; delay in payment. MSC: 90B05. Normal 0 false false false EN-US X-NONE X-NONE /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Table Normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-priority:99; mso-style-qformat:yes; mso-style-parent:""; mso-padding-alt:0in 5.4pt 0in 5.4pt; mso-para-margin:0in; mso-para-margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:11.0pt; font-family:"Calibri","sans-serif"; mso-ascii-font-family:Calibri; mso-ascii-theme-font:minor-latin; mso-fareast-font-family:"Times New Roman"; mso-fareast-theme-font:minor-fareast; mso-hansi-font-family:Calibri; mso-hansi-theme-font:minor-latin; mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:minor-bidi;}

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Citations
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A two-echelon inventory model with stock-dependent demand and variable holding cost for deteriorating items

TL;DR: In this paper, the authors developed an inventory model for deteriorating items with stock dependent demand rate and presented an easy analytical closed-form solution to find the optimal order quantity so that the total cost per unit time is minimized.
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Reviewing the Literature of Inventory Models under Trade Credit Contact

TL;DR: In this paper, the authors provide an up-to-date review of the studies conducted since 1973 and assist in developing the future researches with delay-in-payment models.
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Joint inventory and distribution strategy for online sales with a flexible delivery option

TL;DR: In this article, the authors developed a strategy to jointly optimize the inventory and distribution for an online sales firm, and analyzed the benefit of flexible delivery to the firm and performed sensitivity analysis with respect to various parameters.
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An inventory model with ramp type demand, time varying holding cost and price discount on backorders

TL;DR: In this article, an inventory model with ramp type demand rate where holding cost is expressed as linearly increasing function of time is studied, where the inventory manager offers a price discount to customers who are willing to backorder their demand.
Journal ArticleDOI

Inventory models for stock-dependent demand and time varying holding cost under different trade credits

TL;DR: In this paper, an inventory model for stock-dependent demand and time varying holding cost under trade credits considering four different situations is presented, where the second order approximations are used for exponential terms.
References
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Book

Decision Systems for Inventory Management and Production Planning

TL;DR: In this article, an in-depth discussion of the major decisions in production planning, scheduling, and inventory management faced by organizations, both private and public, is presented, as well as the latest systems used to make decisions, including Just-in-Time Manufacturing, KANBAN, Distribution Requirements Planning and PUSH Control.
Journal ArticleDOI

Economic Order Quantity under Conditions of Permissible Delay in Payments

TL;DR: In this article, a mathematical model for obtaining the economic order quantity for an item for which the supplier permits a fixed delay in settling the amount owed to him is presented, and an example has been solved to illustrate the method.
Journal ArticleDOI

Ordering Policies of Deteriorating Items under Permissible Delay in Payments

TL;DR: In this paper, an attempt has been made to obtain the optimum order quantity of deteriorating items under a permissible delay in payments, where it is found that the supplier allows a certain fixed period to settle the account, but beyond this period interest is charged under the terms and conditions agreed upon and moreover, interest can be earned on the revenue received during the credit period.
Journal ArticleDOI

An ordering policy for deteriorating items with allowable shortage and permissible delay in payment

TL;DR: In this article, a model to determine an optimal ordering policy for deteriorating items under a permissible delay of payment and allowable shortage was developed, and different facets of the permissible delays in payment were discussed, and this generalized model exhibits a set of solutions that reduces to an existing model.
Journal ArticleDOI

A Deterministic Inventory System with an Inventory-Level-Dependent Demand Rate

TL;DR: In this article, a continuous, deterministic case of an inventory system in which the demand rate of an item is of a polynomial functional form, dependent on the inventory level is analyzed.
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