Hybrid mathematical model of inventory system with piecewise holding cost and its optimal strategy

2015 ◽  
Author(s):  
Sutrisno ◽  
Widowati ◽  
Dita Anies Munawwaroh
Keyword(s):  
Mathematical Model ◽  
Optimal Strategy ◽  
Inventory System ◽  
Holding Cost

Some Studies in Multi-Storage Inventory System

2016 ◽  
pp. 176-200
Author(s):  
Shyamal Kumar Mondal
Keyword(s):  
Planning Horizon ◽  
Inventory System ◽  
Mixed Integer ◽  
Lot Size ◽  
Continuous Release ◽  
Demand Rate ◽  
Cycle Lengths ◽  
Holding Cost ◽  
Inventory Holding ◽  
And Storage

In this chapter, a multi-storage inventory system has been considered to develop a deterministic inventory model in finite planning horizon. Realistically, it is shown that due to large stock and insufficient space of existing own warehouse (OW); excess items are stored in single rented warehouse (RW). Due to different preserving facilities and storage environment, inventory holding cost is considered to be different in different warehouses. Here, the replenishment cycle lengths are of equal length, the demand rate is a continuous linear increasing function of time and partially backlogged shortages are allowed in all cycles. In each cycle, the replenishment cost is assumed to be dependent linearly on lot size and the stocks of RW are also transported to OW in continuous release pattern. The model is formulated as a constrained non-linear mixed integer cost objective function under single management. Finally, results with a sensitivity analysis have been shown with the help of a real coded GA.

scholarly journals The treatment of optimizing container transportation dynamic programming and planning

2019 ◽  
Vol 135 ◽  
pp. 02016
Author(s):  
Elena Korchagina ◽  
Andrey Bochkarev ◽  
Pavel Bochkarev ◽  
Sergey Barykin ◽  
Svetlana Suvorova
Keyword(s):  
Mathematical Model ◽  
Dynamic Programming ◽  
Linear Programming ◽  
Numerical Calculation ◽  
Optimal Strategy ◽  
Programming Algorithm ◽  
Container Transportation ◽  
Dynamic Planning ◽  
Railway Freight ◽  
Linear Programming Algorithm

The article addresses the treatment of applying the method of dynamic linear programming to solve the task of choosing the optimal strategy for the containers dispatch, taking into account the significant unevenness of loading and shipment of containers. The optimizing container transportation dynamic planning could be treated as mathematical model of the dynamic multi-period task of the loaded containers shipment, which allows the choice of the optimal strategy for sending containers, taking into account the significant unevenness of their loading and dispatch from the railway freight station. The efficiency of considered method is proved by numerical calculation being presented to disclose the dynamic linear programming algorithm implementing to solve the problem.

Analysis of a two-dimensional stair-case warranty policy with preventive maintenance

2020 ◽  
Vol 32 (1) ◽  
pp. 51-67
Author(s):  
Jinting Wang ◽  
Sheng Zhu ◽  
Simiao Du
Keyword(s):  
Mathematical Model ◽  
Preventive Maintenance ◽  
Optimal Strategy ◽  
Optimal Solution ◽  
Two Dimensional ◽  
Rectangular Region ◽  
Numerical Example ◽  
Warranty Cost

Abstract We develop a mathematical model to study optimal preventive maintenance (PM) strategy under a two-dimensional stair-case warranty policy considering both age and usage of a product. During the warranty term, sellers implement preventive maintenance within the stair-case region of the warranty policy and upon failure a product is repaired minimally and immediately. Our objective is to find the optimal PM strategy that minimizes the seller’s cost of warranty while jointly considering the age and usage intervals of the PM policy and the level of PM executed. We also discuss how our results compare to those in a two-dimensional warranty policy with a rectangular region, and we find that the stair-case policy is preferable for sellers. An algorithm is provided to find the optimal solution and a numerical example is presented to illustrate how to find an optimal strategy with our proposed method. We show numerically that the expected total warranty cost is convex both in the age and the usage of the product under certain conditions.

A Mathematical Model for Tactical Operations Planning for Response-Base Supply Chains

2011 ◽  
pp. 241-252
Author(s):  
Sheu Hua Chen
Keyword(s):  
Mathematical Model ◽  
Supply Chains ◽  
Lead Time ◽  
Random Variable ◽  
Operations Planning ◽  
Proposed Model ◽  
Holding Cost ◽  
Inventory Holding Cost ◽  
Inventory Holding ◽  
The Relationship

This article explores the issue of lead-time in response-based supply chains. From a tactical viewpoint of response-based supply chains, the processing time for each stage is assumed to be a random variable since different practices exist in the selection pool of each stage under a specific lead-time requirement. The decision-maker must select suitable practices of operations for each stage to ensure that the lead-time meets a desired requirement. The relationship and the trade-off between the operating costs for the selected practices and the inventory holding cost of safety stock that is in turn affected by the lead-time are discussed. A mathematical model for planning the operations from a manufacturer viewpoint is proposed. The variation in practical situation for the proposed model is also addressed. A hypothetic example is provided to illustrate the effectiveness of the proposed model. With reference to the computational results, the effect of several parameters on the model’s optimal solutions was discussed.

FA-Based Optimal Strategy of Train’s Energy Saving with Energy Materials

2012 ◽  
Vol 485 ◽  
pp. 93-96 ◽  
Author(s):  
Hui Hu
Keyword(s):  
Mathematical Model ◽  
Energy Saving ◽  
Optimization Algorithm ◽  
Optimal Strategy ◽  
Energy Efficient ◽  
Energy Materials ◽  
Ga Algorithm ◽  
Firefly Optimization ◽  
Simulation Results ◽  
Firefly Optimization Algorithm

According to one energy-efficient mathematical model which usually uses GA algorithm to solve, a new algorithm based on firefly optimization algorithm is applied to solve it. Through calculation for a cited example, simulation results such as speed-position curve are got. Compared with other methods, it demonstrates this new FA-based algorithm has a better performance and can be considered to be put into practical use.

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