AN INVENTORY SYSTEM WITH PARTIAL BACKLOGGING MODELED ACCORDING TO A LINEAR FUNCTION

2005 ◽  
Vol 22 (02) ◽  
pp. 189-209 ◽  
Author(s):  
L. A. SAN JOSÉ ◽  
J. SICILIA ◽  
J. GARCÍA-LAGUNA
Keyword(s):  
Sensitivity Analysis ◽  
Linear Function ◽  
Optimal Policy ◽  
Opportunity Cost ◽  
Inventory System ◽  
Inventory Systems ◽  
Partial Backlogging ◽  
Shortage Cost ◽  
Input Parameters ◽  
Theoretical Results

In this paper, we study an inventory system with partial backlogging, in which the backlogging rate is a continuous and nonincreasing two piece function. The total shortage cost includes three significant costs: the unit backorder cost (depending on the backorder time), the opportunity cost, and the goodwill cost. This model generalizes several inventory systems studied by other authors. The optimal policy is characterized through several results, which depend on the values of the known input parameters. Illustrative examples and a sensitivity analysis, which help us understand the theoretical results, are also given.

Optimal Strategies for Deteriorating Inventory Systems Under Trapezoidal Type Demand

2018 ◽  
pp. 1-31
Author(s):  
Kunal Tarunkumar Shukla ◽  
Mihir S. Suthar
Keyword(s):  
Sensitivity Analysis ◽  
Continuous Function ◽  
Optimal Strategy ◽  
Piecewise Linear ◽  
Optimal Strategies ◽  
Literature Survey ◽  
Inventory Systems ◽  
Future Research ◽  
Partial Backlogging ◽  
Demand Rate

In this chapter, we study different inventory systems with trapezoidal demand rate, i.e., demand rate is a piecewise linear and continuous function. This chapter presents mathematical formulations of optimal replenishment policies for items with trapezoidal demand rate. Section 1 presents detailed literature survey for inventory systems with ramp type and trapezoidal type demand. In Section 2, Formulation technique for inventory system of items, which follows trapezoidal type demand rate. Section 3 presents effect of deterioration in model discussed in Section 2. Optimal strategy for deteriorating items with expiration dates under trapezoidal type demand and partial backlogging is discussed in Section 4. In Section 5, sensitivity analysis is carried out and chapter is concluded along with future research scope in Section 6.

scholarly journals Control of Non-instantaneous Degrading Inventory under Trade Credit and Partial Backlogging

2021 ◽  
Vol 4 (3) ◽  
pp. 122-141
Author(s):  
Pooja Meena ◽  
◽  
Anil Kumar Sharma ◽  
Ganesh Kumar ◽  
◽  
...  
Keyword(s):  
Sensitivity Analysis ◽  
Inventory Management ◽  
Trade Credit ◽  
Reduction Rate ◽  
Inventory System ◽  
Partial Backlogging ◽  
Usual Practice ◽  
Numerical Examples ◽  
Credit Term ◽  
Total Profit

Inventory management is an extremely difficult task. It has become usual practice for a provider during the last few decades to provide a retailer with a credit term. In this article, a non-instantly degradable products inventory system is built with a price-sensitive demand and a Weibull credit term allocation reduction rate. Some backlogged deficiencies are permitted. The aim is to maximize the total profit in this study by taking three cases into account. Numerical examples, graphical representations and sensitivity analysis demonstrate the application of the approach developed in this study.

scholarly journals An Inventory Model under Trapezoidal Type Demand, Weibull-Distributed Deterioration, and Partial Backlogging

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Lianxia Zhao
Keyword(s):  
Sensitivity Analysis ◽  
Waiting Time ◽  
Optimal Solution ◽  
Inventory Model ◽  
Partial Backlogging ◽  
Inventory Models ◽  
Numerical Examples ◽  
Replenishment Policy ◽  
Demand Rate ◽  
Theoretical Results

This paper studies an inventory model for Weibull-distributed deterioration items with trapezoidal type demand rate, in which shortages are allowed and partially backlogging depends on the waiting time for the next replenishment. The inventory models starting with no shortage is are to be discussed, and an optimal inventory replenishment policy of the model is proposed. Finally, numerical examples are provided to illustrate the theoretical results, and a sensitivity analysis of the major parameters with respect to the optimal solution is also carried out.

scholarly journals An inventory system for varying decaying medicinal products in healthcare trade

2021 ◽  
pp. 11-11
Author(s):  
Kamal Kumar ◽  
Neeraj Kumar ◽  
M Meenu
Keyword(s):  
Research Work ◽  
Inventory System ◽  
Inventory Systems ◽  
Partial Backlogging ◽  
Medicinal Products ◽  
Time Intervals ◽  
Optimum Time ◽  
Total Average Cost ◽  
Ordering Quantity ◽  
Total Average

This paper introduces an inventory system for declining medicinal products under the effect of ination with price-sensitive demand. Usually, pharmaceutical inventory systems assume the deteriorating rate as constant, which is insignificant and illogical because healthcare products medicines and drugs deteriorate significantly. Thus, the deteriorating rate of medicinal products is supposed to be time-dependent and to follow three-parameter Weibull distribution. The lack of commodities is permitted with the rate of partial backlogging. This research work develops a model to optimize the total average cost of the items by calculating the ordering quantity and the optimum time intervals. Finally, through a numerical example, with sensitivity analysis, we demonstrate the effect of different parameters.

Sobol′ Sensitivity Analysis Using a Neural Network Model of a LB-LOCA in the ZION Nuclear Power Plant With CATHARE-2 V2.5 Code

2013 ◽  
Author(s):  
Fabrice Fouet ◽  
Pierre Probst
Keyword(s):  
Neural Network ◽  
Sensitivity Analysis ◽  
Nuclear Power ◽  
Uncertainty Propagation ◽  
Correlation Coefficients ◽  
Computer Code ◽  
Numerical Application ◽  
Loss Of Coolant Accident ◽  
Input Parameters ◽  
Artificial Neural Network Ann

In nuclear safety, the Best-Estimate (BE) codes may be used in safety demonstration and licensing, provided that uncertainties are added to the relevant output parameters before comparing them with the acceptance criteria. The uncertainty of output parameters, which comes mainly from the lack of knowledge of the input parameters, is evaluated by estimating the 95% percentile with a high degree of confidence. IRSN, technical support of the French Safety Authority, developed a method of uncertainty propagation. This method has been tested with the BE code used is CATHARE-2 V2.5 in order to evaluate the Peak Cladding Temperature (PCT) of the fuel during a Large Break Loss Of Coolant Accident (LB-LOCA) event, starting from a large number of input parameters. A sensitivity analysis is needed in order to limit the number of input parameters and to quantify the influence of each one on the response variability of the numerical model. Generally, the Global Sensitivity Analysis (GSA) is done with linear correlation coefficients. This paper presents a new approach to perform a more accurate GSA to determine and to classify the main uncertain parameters: the Sobol′ methodology. The GSA requires simulating many sets of parameters to propagate uncertainties correctly, which makes of it a time-consuming approach. Therefore, it is natural to replace the complex computer code by an approximate mathematical model, called response surface or surrogate model. We have tested Artificial Neural Network (ANN) methodology for its construction and the Sobol′ methodology for the GSA. The paper presents a numerical application of the previously described methodology on the ZION reactor, a Westinghouse 4-loop PWR, which has been retained for the BEMUSE international problem [8]. The output is the first maximum PCT of the fuel which depends on 54 input parameters. This application outlined that the methodology could be applied to high-dimensional complex problems.

SISTEM INFORMASI INVENTORY BARANG (SI RIANG) PADA PT SANGHIANG PERKASA

2021 ◽  
Vol 15 (4) ◽  
pp. 10-23
Author(s):  
Eka Chandra Ramdhani ◽  
Juniarti Eka Safitri ◽  
Selamat Abdurrahman Fahmi ◽  
Asep Asep
Keyword(s):  
System Analysis ◽  
System Development ◽  
Inventory System ◽  
Inventory Systems ◽  
Coding System ◽  
Process Data ◽  
Analysis And Design ◽  
Analysis System ◽  
Software Requirements Analysis

The inventory system is a system that has a very important role in a company. Inventory systems have been widely used or developed in a place with various technologies and systems. Problems at PT. Sanghiang Perkasa is due to the fact that the data has not been stored in a good file and the management and processing of inventory data is still processed in a conventional way, which has a very significant effect on the quality of the data and information produced. The main objective of this research is to produce an inventory system that is powerful and in accordance with the needs of the users associated with the inventory system. The system development method in this inventory system uses the waterfall method which consists of six stages. The stages are System Analysis and Design, software requirements analysis, system design, coding, system testing and maintenance. This system was built using the PHP programming language, DataBase MySQL. It is hoped that with the implementation of this inventory system at PT. Sanghiang Perkasa can make it easier to store and process data and information such as stock-taking data, information on incoming and outgoing goods transactions, purchase and sales return data, managing customer and supplier data to making product stock reports and assembly reports. Keywords: Information System; Inventory, Web

scholarly journals Utilizing Effective Technology In High-Standard Road Defects Inventory System In Estonia

2021 ◽  
Vol 1202 (1) ◽  
pp. 012009
Author(s):  
Marek Truu ◽  
Romet Raun ◽  
Maret Jentson
Keyword(s):  
Data Collection ◽  
Visual Inspection ◽  
High Standard ◽  
Inventory System ◽  
Inventory Systems ◽  
Full Detail ◽  
Cloud Data ◽  
Road Pavement ◽  
Inspection Systems ◽  
Inspection Data

Abstract Road pavement is expected to withstand enormous traffic loads for long time but sooner or later the deterioration reaches levels when its optimal to apply treatment. While easy to measure roughness or rutting in normal traffic speed, defects are in most countries still collected by means of time-consuming visual inspection in low traffic speeds or expensive and difficult- to-use equipment. Also, most visual inspection systems only operate with aggregated inspection data. That makes data-collection expensive and defects-based decision-making inefficient. In Estonia, defects inventory system utilizes high quality panoramic and orthogonal images to enable data collection in traffic speeds and detailed mapping of pavement defects in 10 classes. Defects mapped in full detail means, that location, shape and size of each defect is known and classified data can be effectively used twice in pavement maintenance planning: for section selection planning in road network level when aggregated and for work method selection in design process when analyzed in detail. Combined with measured lidar-based point-cloud data, detailed 3d-basemap saves both road-owner's and road designer’s valuable time in design phase. In period of 2016-2020, around 35000km of state roads were analyzed with one of the most efficient road defects inventory systems in the world. Also, around 25000 km of municipal and forest roads have been captured with same technology covering several pavement types from bicycle paths to multilane streets and motorways. Current presentation discusses outcomes of Estonian defects inventory study in 2020.

scholarly journals Two – Warehouse Inventory System Model for Deteriorating Items Considering Partial Upstream Trade Credit Financing

2021 ◽  
pp. 69-80
Author(s):  
Z. H. Aliyu ◽  
B. Sani
Keyword(s):  
Sensitivity Analysis ◽  
Credit Risk ◽  
Trade Credit ◽  
Optimal Solution ◽  
Inventory System ◽  
System Model ◽  
Credit Period ◽  
Business Transaction ◽  
Credit Financing ◽  
Relevant Cost

In this study, we developed an inventory system model under two – level trade credit where the supplier considers the retailer as credit risk but the retailer considers the customers as credit worthy. Therefore, the retailer is given a trade credit period on  proportion of the goods ordered whenever he/she pays for proportion of the goods immediately after delivery. In the same vein, the retailer passes the same grace to the customers but without attaching any condition as the customers are assumed credit worthy. This partial upstream trade credit is offered to reduce the risk of failure in payment on the business transaction especially that most retailers are involved in bulk orders. The relevant cost functions are determined and a numerical example is given. Sensitivity analysis was carried out to see the effect of changes in parameters on the optimal solution of the model.

AN EOQ MODEL WITH LIMITED STORAGE CAPACITY UNDER TRADE CREDITS

2007 ◽  
Vol 24 (04) ◽  
pp. 575-592 ◽  
Author(s):  
LIANG-YUH OUYANG ◽  
KUN-SHAN WU ◽  
CHIH-TE YANG
Keyword(s):  
Storage Capacity ◽  
Optimal Solution ◽  
Inventory Systems ◽  
Simple Method ◽  
Eoq Model ◽  
Trade Credits ◽  
Cash Discount ◽  
Delay In Payments ◽  
Classical Economic ◽  
Theoretical Results

In the classical economic order quantity (EOQ) inventory model, it was assumed that the retailer must pay for the received items immediately. However, in practice, the supplier not only allows retailer to settle the account after a certain fixed period but also may offer a cash discount to encourage the retailer to pay for his purchases as soon as possible. On the other hand, it is common practice in most inventory systems to hold excess stocks in a rented warehouse whenever the storage capacity of the owned warehouse is insufficient. Therefore, the purpose of this paper is to establish an EOQ model with limited storage capacity, in which the supplier provides cash discount and permissible delay in payments for the retailer. In the model, we develop some useful theorems to characterize the optimal solution and provide a simple method to find the optimal replenishment cycle time and payment time. Finally, several numerical examples are given to illustrate the theoretical results and some managerial insights are also obtained.

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