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A Production Inventory Model of Constant Production Rate and Demand of Level Dependent Linear Trend

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American Journal of Operations Research 2016年第1期6卷 61-70页

作者： Shirajul Islam Ukil md. sharif uddin Jahangirnagar University Savar Bangladesh

The proposed model considers the products with finite shelf-life which causes a small amount of decay. The market demand is assumed to be level dependent and in a linear form. The model has also considered the constant production rate which stops attaining a desired level of inventories and that is the highest level of inventories. Production starts with a buffer stock and without any sort of backlogs. Due to the market demand and product’s decay, the inventory reduces to the level of buffer stock where again the production cycle starts. With a numerical search procedure the proof of the proposed model has been shown. The objective of the model is to obtain the total average optimum inventory cost and optimum ordering cycle.

关键词： Production Inventory Level Dependent Linear Trend Constant Production Rate

An Inventory Model of Production with Level Dependent Demand Allowing Few Defective Items

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American Journal of Operations Research 2021年第1期11卷 1-14页

作者： md. Jamil uddin Shirajul Islam Ukil Aminur Rahman Khan md. sharif uddin Department of Mathematics Jahangirnagar University Savar Dhaka Bangladesh Department of Mathematics Bangladesh Military Academy Bhatiary Chattogram Bangladesh

This paper considers a model regarding the products with finite life which allows defective items in reproduction and causes a small amount of decay. The market demand is assumed to be level dependent linear type. The model has also considered the constant production rate which stops after a desired level of inventories and that is the highest level of it. Due to the market demand, defective item and product’s decay, the inventory reduces to the zero level where again the production cycle starts. With a numerical search procedure, the proof of the proposed model has been shown. The objective of the proposed model is to find out the total optimum inventory cost, optimum ordering cost and optimum ordering cycle.

关键词： Production Inventory Linear Demand Defective Item and Constant Production Rate

Non-Negative Integer Solutions of Two Diophantine Equations 2^x + 9^y = z² and 5^x + 9^y = z²

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Journal of Applied Mathematics and Physics 2016年第4期4卷 762-765页

作者： md. Al-Amin Khan Abdur Rashid md. sharif uddin Department of Mathematics Jahangirnagar University Dhaka Bangladesh

In this paper, we study two Diophantine equations of the type px + 9y = z2 , where p is a prime number. We find that the equation 2x + 9y = z2 has exactly two solutions (x, y, z) in non-negative integer i.e., {(3, 0, ... 详细信息

关键词： Exponential Diophantine Equation Integer Solutions

A Time Dependent Inventory Model for Exponential Demand Rate with Constant Production Where Shelf-Life of the Product Is Finite

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Open Journal of Applied Sciences 2016年第1期6卷 38-48页

作者： Mohammad Ekramol Islam Shirajul Islam Ukil md. sharif uddin Department of Business Administration Northern University Dhaka Bangladesh Department of Mathematics Jahangirnagar University Savar Bangladesh

In this paper a time dependent inventory model is developed on the basis of constant production rate and market demands which are exponentially decreasing. It advances in quest of total average optimum cost considering those products which have finite shelf-life. The model also considers the small amount of decay. Without having any sort of backlogs, production starts. Reaching at the desired level of inventories, it stops production. After that due to demands along with the deterioration of the items it initiates its depletion and after certain periods the inventory gets zero. The decay of the products is level dependent. The objective of this paper is to find out the optimum inventory cost and optimum time cycle. The model has also been justified with proving the convex property and by giving a numerical example.

关键词： Production Inventory Shelf-Life Time Dependent Demand Class Production Rate

Design and Numerical Analysis of Ultra-High Negative Dispersion, Highly Birefringent Nonlinear Single Mode Core-Tune Photonic Crystal Fiber (CT-PCF) over Communication Bands

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Optics and Photonics Journal 2023年第10期13卷 227-242页

作者： Amit Halder Wahiduzzaman Emon md. Shamim Anower md. Riyad Tanshen md. Forkan md. sharif uddin Shajib Department of Electrical and Electronic Engineering World University of Bangladesh Dhaka Bangladesh Department of Electrical and Electronic Engineering Rajshahi University of Engineering and Technology (RUET) Rajshahi Bangladesh Department of Electrical and Electronic Engineering Ahsanullah University of Science and Technology (AUST) Dhaka Bangladesh

This paper presents the development of a highly efficient CT-PCF (Core-Tune Photonic Crystal Fiber) with substantial birefringence, tailored for applications in high-bit-rate communication and sensing while minimizing signal loss. The design incorporates a modified broadband dispersion compensating structure, optimized for operation across the E, S, C, and L communication bands within a wavelength range spanning 1360 nm to 1625 nm. Notably, the CT-PCF demonstrates a remarkable birefringence of 2.372 × 10-2 at 1550 nm, surpassing traditional PCF structures. Single-mode performance is evaluated using the Higher Order Mode Extinction Ratio (HOMER) method, revealing a peak HOMER value of 104 at 1550 nm. Furthermore, at 1550 nm, the CT-PCF exhibits exceptional nonlinear characteristics, featuring a high nonlinearity of 50.74 W-1⋅Km-1 for y polarization. In comparison to existing designs, the proposed CT-PCF exhibits superior performance metrics and optical characteristics. Additionally, the y polarization dispersion coefficient of the CT-PCF at 1550 nm is measured at -3534 ps/(nm⋅km). Overall, the CT-PCF represents a significant advancement, outperforming established systems in terms of performance metrics and optical properties.

关键词： Negative Dispersion Birefringence Confinement Loss HOMER Method Single-Mode Performance Optical Properties

New Procedure of Finding an Initial Basic Feasible Solution of the Time Minimizing Transportation Problems

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Open Journal of Applied Sciences 2015年第10期5卷 634-640页

作者： Mollah Mesbahuddin Ahmed md. Amirul Islam Momotaz Katun Sabiha Yesmin md. sharif uddin Department of Mathematics Jahangirnagar University Savar Dhaka Bangladesh Department of Mathematics Bangladesh University Dhaka Bangladesh

Minimization of transportation time is a great concern of the transportation problems like the cost minimizing transportation problems. In this writing, a transportation algorithm is developed and applied to obtain an Initial Basic Feasible Solution (IBFS) of transportation problems in minimizing transportation time. The developed method has also been illustrated numerically to test the efficiency of the method where it is observed that the proposed method yields a better result.

关键词： Transportation Problem Initial Basic Feasible Solution Minimizing Transportation Time

Incessant Allocation Method for Solving Transportation Problems

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American Journal of Operations Research 2016年第3期6卷 236-244页

作者： Mollah Mesbahuddin Ahmed Aminur Rahman Khan Faruque Ahmed md. sharif uddin Department of Mathematics Jahangirnagar University Savar Dhaka Bangladesh Department of Management Engineering ‘Gheorghe Asachi’ Technical University of Iasi Iasi Romania Department of Mathematics Ruse University Ruse Bulgaria

Industries require planning in transporting their products from production centres to the users end with minimal transporting cost to maximize profit. This process is known as Transportation Problem which is used to analyze and minimize transportation cost. This problem is well discussed in operation research for its wide application in various fields, such as scheduling, personnel assignment, product mix problems and many others, so that this problem is really not confined to transportation or distribution only. In the solution procedure of a transportation problem, finding an initial basic feasible solution is the prerequisite to obtain the optimal solution. Again, development is a continuous and endless process to find the best among the bests. The growing complexity of management calls for development of sound methods and techniques for solution of the problems. Considering these factors, this research aims to propose an algorithm “Incessant Allocation Method” to obtain an initial basic feasible solution for the transportation problems. Several numbers of numerical problems are also solved to justify the method. Obtained results show that the proposed algorithm is effective in solving transportation problems.

关键词： Transportation Models Initial Basic Feasible Solution Optimal Solution Incessant Allocation Method

Modified EDMONDS-KARP Algorithm to Solve Maximum Flow Problems

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Open Journal of Applied Sciences 2016年第2期6卷 131-140页

作者： Kalyan Kumar Mallick Aminur Rahman Khan Mollah Mesbahuddin Ahmed md. Shamsul Arefin md. sharif uddin Department of Mathematics University of Development Alternative (UODA) Dhaka Bangladesh Department of Mathematics Jahangirnagar University Savar Dhaka Bangladesh Department of Computer Science and Engineering University of Development Alternative (UODA) Dhaka Bangladesh

Maximum Flow Problem (MFP) discusses the maximum amount of flow that can be sent from the source to sink. Edmonds-Karp algorithm is the modified version of Ford-Fulkerson algorithm to solve the MFP. This paper presents some modifications of Edmonds-Karp algorithm for solving MFP. Solution of MFP has also been illustrated by using the proposed algorithm to justify the usefulness of proposed method.

关键词： Maximum Flow Maximum Flow Problem Breadth First Search Augmenting Path Residual Network

A New Approach to Solve Transportation Problems

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Open Journal of Optimization 2016年第1期5卷 22-30页

作者： Mollah Mesbahuddin Ahmed Aminur Rahman Khan md. sharif uddin Faruque Ahmed Department of Mathematics Jahangirnagar University Dhaka Bangladesh

Finding an initial basic feasible solution is the prime requirement to obtain an optimal solution for the transportation problems. In this article, a new approach is proposed to find an initial basic feasible solution... 详细信息

关键词： Transportation Problem Transportation Cost Initial Basic Feasible Solution Optimal Solution