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books

ریاضییات گسسته و کاربردها

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این کتاب برای رشته های ریاضی، فناوری اطلاعات و علوم کامپیوتر به عنوان کتاب درسی طراحی شده است.

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portfolio

publications

Active Constraint Set Invariancy Sensitivity Analysis in Linear Optimization

Published in Journal of optimization theory and applications, 2007

Active constraint set invariancy sensitivity analysis is concerned with finding the range of parameter variation so that the perturbed problem has still an optimal solution with the same support set that the given optimal solution of the unperturbed problem has.

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Support set expansion sensitivity analysis in convex quadratic optimization

Published in Optimization Methods and Software, 2007

In support set expansion sensitivity analysis, one concerns to find the range of parameter variation where the perturbed problem has an optimal solution with the support set that includes the support set of the given optimal solution of the unperturbed problem.

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Bi-parametric convex quadratic optimization

Published in Optimization Methods & Software, 2010

In this paper, we consider the convex quadratic optimization problem with simultaneous perturbation in the right-hand side of the constraints and the linear term of the objective function with different parameters.

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Controlling Floods by Optimization Methods

Published in Water Resources Management, 2016

Floods as natural phenomena exist and will continue to occur. No manmade project can stop a flood from happening, but there are several effective methods to reduce its risk, aftermath and consequences.

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PROPOSING TWO LINEAR PROGRAMMING MODELS IN UNCERTAIN ENVIRONMENT

Published in Journal of Operational Research in Its Applications, 2016

Uncertainty is one of the intrinsic characteristics of natural phenomena, and optimization is not an exception here. Parameters in an optimization problem may not be known exactly or may experience variation after finding an optimal solution.

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Semidefinite relaxation for dominating set

Published in Iranian Journal of Operations Research, 2017

It is a well-known fact that finding a minimum dominating set and consequently finding the domination number of a general graph is an NP-complete problem.

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Grouping Objects to Homogeneous Classes Satisfying Requisite Mass

Published in Journal of Artificial Intelligence & Data Mining (JAIDM), 2018

Grouping datasets plays an important role in many scientific researches. Depending on data features and applications, different constrains are imposed on groups, while having groups with similar members is always a main criterion.

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DETERMINING OPTIMUM PREMIUMS FOR HOMOGENOUS RISK GROUPS: A CASE STUDY

Published in JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS), 2018

Fair premium pricing is one of the main concerns in insurance texts. In this paper, by considering the demand functions, costs of claims and values at risks in homogenous risk groups of cargo insurance policies, we determine the optimum premiums.

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One-Stage Uncertain Linear optimization

Published in Journal of Hyperstructures, 2018

Uncertainty is one of the intrinsic features of natural phenomenon and optimization is not an exception. Parameters in an optimization problem may be inaccurately presented, or due to variation after solving the problem, the current optimal solution may not be optimal or feasible for the new data. One of the approaches towards the uncertainty is the uncertainty theory initiated by Liu in 2007 and completed in 2011.

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Dynamic network interdiction problem with uncertain data

Published in International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2018

This paper proposes an uncertain multi-period bi-level network interdiction problem with uncertain arc capacities. It is proved that there exists an equivalence relationship between uncertain multi-period network interdiction problem and the obtained deterministic correspondent.

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A novel DEA model based on uncertainty theory

Published in Annals of Operations Research, 2018

In deterministic DEA models, precise values are assigned to input and output data while they are intrinsically subjected to some degree of uncertainty

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Uncertain Network Interdiction Problem

Published in Journal of Uncertain Systems, 2018

Indeterminacy is an intrinsic characteristic of a decision making process. Sometimes there are no samples, and historical data are not enough for estimating an appropriate probability distribution for an indeterminate variable.

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talks

teaching

Stochastic Linear optimization

Graduate course, Azarbaijan Shahid Madani University, Dept. of Mathematics, 2020

This text is designed for master and Ph.D studented in the mathematics discipline. It discusses multi-stage linear optimization problems and its applications.

Convex Optimization

Graduate course, Azarbaijan Shahid Madani University, Dept. of Mathematics, 2020

This text is designed for Ph.D studented in the mathematics discipline. It discusses theory and some application of the convex optimization.

Nonlinear Analysis and Application (Uncertainty Theory)

Graduate course, Azarbaijan Shahid Madani University, Dept. of Mathematics, 2020

This text is designed for Ph.D students in the mathematics discipline. It discusses the theory and differnt applications of uncertainty theory.

ریاضی گسسته

درس کارشناسی, دانشگاه شهید مدنی آذربایجان- گروه فناوری اطلاعات, 2021

این کتاب به عنوان یک کتاب درسی برای درس ریاضی گسسته رشته های فناوری اطلاعات و علوم کامپیوتر و همچنین درس مبانی ترکیبیات برای رشته ریاضی طراحی شده و تمامی سرفصل های این دو درس را پوشش می دهد.

زبان تخصصی ریاضی

درس کارشناسی, دانشگاه شهید مدنی آذربایجان- گروه ریاضی, 2021

این کتاب برای درس زبان تخصصی رشته ریاضی طراحی شده است و شامل متون مختلف از شاخه های مختلف ریاضی است. علاوه بر ان تمرینات مناسب در هر فصل برای درک بهتر متون آورده شده است. تمامی مطالب از متون کتاب های منتشر شده به زبان انگلیسی انتخاب شده است.