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Papers by Mohammed Pathan

Research paper thumbnail of A study on deterministic and stochastic transportation problem with multiple inputs and outputs

Research paper thumbnail of An Extended Transportation Problem with Multiple Inputs and Outputs

IOSR Journal of Mathematics, 2014

Research paper thumbnail of Extended Stochastic Transportation Problem with Flexible Inputs

IOSR Journal of Mathematics, 2017

The distribution of homogeneous goods in classical transportation problem is based on only per un... more The distribution of homogeneous goods in classical transportation problem is based on only per unit transportation cost. Usually, the decision of transporting homogeneous goods is not only based on transportation cost but also depends on many factors such as order size, total shipment-cost, profit, distance, manpower , etc. These factors are treated as inputs and outputs variables for each shipment link. Hence, the transportation problem with multiple inputs and outputs per shipment link is considered as Extended Transportation Problem. In the transportation problem, the distribution depends on the demand and the availability of homogeneous goods. If Demand and Availability of goods are not known to decision maker, the problem is known as Extended Stochastic Transportation Problem (ESTP). In this paper, we assume that the demand and availability are random variables with some known probability distribution. We proposed a method based on data envelopment analysis to decide optimal shipment plan for ESTP. The hypothetical illustration is considered to check the applicability of the proposed approach.

Research paper thumbnail of Pregnancy and stroke

Current Neurology and Neuroscience Reports, 2003

This review details the evidence that the risk of stroke is increased in the peripartum and postp... more This review details the evidence that the risk of stroke is increased in the peripartum and postpartum period rather than the entire 9 months of pregnancy. In women with prior stroke, available evidence suggests that the excess risk of a stroke recurrence in pregnancy is approximately 1% to 2%. Although certain conditions have a particularly strong association with stroke in pregnancy, such as eclampsia, or with the postpartum period, such as cerebral venous thrombosis, the clinical and therapeutic approach to women with stroke during pregnancy should be similar to the approach to stroke in young adults. Strategies for stroke prevention should take into account the competing risks to mother and fetus.

Research paper thumbnail of Two stage approach to solve extended transportation problem

The main objective of transportation problem is to minimise the cost of shipping homogeneous comm... more The main objective of transportation problem is to minimise the cost of shipping homogeneous commodity from various origins to various destinations. The classical transportation problem is extended by considering multiple incommensurate inputs and outputs for each shipment link. The relative efficiency concept is defined for each possible shipment link. Two linear programming models are proposed to determine the optimal transportation plan with maximum efficiency. A numerical example is discussed to show the applicability of said approach.

Research paper thumbnail of Modeling of Data from Climate Science Using Introductory Statistics

Journal of Climatology & Weather Forecasting

The attempt is made for building model(s) to climate data by using introductory statistics. The a... more The attempt is made for building model(s) to climate data by using introductory statistics. The application of simple statistical methods can expose important insights in climate data. Various statistical tools from introductory statistics help to analyze climate data. The correlation analysis also helps to study interrelations between the variables in given data. The tools such as simple linear regression and multiple regressions are used to fit model for given climate data. Estimation/Prediction of dependent variable is made by using fitted models. The reliability of a model is discussed through residuals. A numerical example consists of three variables such as maximum temperature, minimum temperature and rainfall is considered to illustrate the analysis. The importance of variables in a given data is checked through simple statistical analysis. It is observed that 92% variation in rainfall is explained by range temperature (max-min). The multiple regression models provides better estimate for rainfall rather than two variable analyses.

Research paper thumbnail of An Algorithm to Decide Shipment Plan of Homogeneous Goods with Stochastic Demand and Availability

Asian Research Journal of Mathematics

The decision of transporting homogeneous goods is not only based on unit transportation cost but ... more The decision of transporting homogeneous goods is not only based on unit transportation cost but also depends on many factors such as order size, total shipment-cost, profit, distance, manpower , etc. For each shipment link, these factors are treated as inputs and outputs variables. Such transportation problem with multiple inputs and outputs per shipment link is considered as Extended Transportation Problem. In the transportation problem, the distribution depends on the demand and the availability of homogeneous goods. Demand and Availability of goods may not be known to decision maker. Under this situation, the problem is known as Extended Stochastic Transportation Problem (ESTP). In this paper, we assume that the demand and availability are random variables with some known probability distribution. We proposed a method based on data envelopment analysis to decide optimal shipment plan for ESTP. The hypothetical illustration is considered to check the applicability of the proposed approach.

Research paper thumbnail of A study on deterministic and stochastic transportation problem with multiple inputs and outputs

Research paper thumbnail of An Extended Transportation Problem with Multiple Inputs and Outputs

IOSR Journal of Mathematics, 2014

Research paper thumbnail of Extended Stochastic Transportation Problem with Flexible Inputs

IOSR Journal of Mathematics, 2017

The distribution of homogeneous goods in classical transportation problem is based on only per un... more The distribution of homogeneous goods in classical transportation problem is based on only per unit transportation cost. Usually, the decision of transporting homogeneous goods is not only based on transportation cost but also depends on many factors such as order size, total shipment-cost, profit, distance, manpower , etc. These factors are treated as inputs and outputs variables for each shipment link. Hence, the transportation problem with multiple inputs and outputs per shipment link is considered as Extended Transportation Problem. In the transportation problem, the distribution depends on the demand and the availability of homogeneous goods. If Demand and Availability of goods are not known to decision maker, the problem is known as Extended Stochastic Transportation Problem (ESTP). In this paper, we assume that the demand and availability are random variables with some known probability distribution. We proposed a method based on data envelopment analysis to decide optimal shipment plan for ESTP. The hypothetical illustration is considered to check the applicability of the proposed approach.

Research paper thumbnail of Pregnancy and stroke

Current Neurology and Neuroscience Reports, 2003

This review details the evidence that the risk of stroke is increased in the peripartum and postp... more This review details the evidence that the risk of stroke is increased in the peripartum and postpartum period rather than the entire 9 months of pregnancy. In women with prior stroke, available evidence suggests that the excess risk of a stroke recurrence in pregnancy is approximately 1% to 2%. Although certain conditions have a particularly strong association with stroke in pregnancy, such as eclampsia, or with the postpartum period, such as cerebral venous thrombosis, the clinical and therapeutic approach to women with stroke during pregnancy should be similar to the approach to stroke in young adults. Strategies for stroke prevention should take into account the competing risks to mother and fetus.

Research paper thumbnail of Two stage approach to solve extended transportation problem

The main objective of transportation problem is to minimise the cost of shipping homogeneous comm... more The main objective of transportation problem is to minimise the cost of shipping homogeneous commodity from various origins to various destinations. The classical transportation problem is extended by considering multiple incommensurate inputs and outputs for each shipment link. The relative efficiency concept is defined for each possible shipment link. Two linear programming models are proposed to determine the optimal transportation plan with maximum efficiency. A numerical example is discussed to show the applicability of said approach.

Research paper thumbnail of Modeling of Data from Climate Science Using Introductory Statistics

Journal of Climatology & Weather Forecasting

The attempt is made for building model(s) to climate data by using introductory statistics. The a... more The attempt is made for building model(s) to climate data by using introductory statistics. The application of simple statistical methods can expose important insights in climate data. Various statistical tools from introductory statistics help to analyze climate data. The correlation analysis also helps to study interrelations between the variables in given data. The tools such as simple linear regression and multiple regressions are used to fit model for given climate data. Estimation/Prediction of dependent variable is made by using fitted models. The reliability of a model is discussed through residuals. A numerical example consists of three variables such as maximum temperature, minimum temperature and rainfall is considered to illustrate the analysis. The importance of variables in a given data is checked through simple statistical analysis. It is observed that 92% variation in rainfall is explained by range temperature (max-min). The multiple regression models provides better estimate for rainfall rather than two variable analyses.

Research paper thumbnail of An Algorithm to Decide Shipment Plan of Homogeneous Goods with Stochastic Demand and Availability

Asian Research Journal of Mathematics

The decision of transporting homogeneous goods is not only based on unit transportation cost but ... more The decision of transporting homogeneous goods is not only based on unit transportation cost but also depends on many factors such as order size, total shipment-cost, profit, distance, manpower , etc. For each shipment link, these factors are treated as inputs and outputs variables. Such transportation problem with multiple inputs and outputs per shipment link is considered as Extended Transportation Problem. In the transportation problem, the distribution depends on the demand and the availability of homogeneous goods. Demand and Availability of goods may not be known to decision maker. Under this situation, the problem is known as Extended Stochastic Transportation Problem (ESTP). In this paper, we assume that the demand and availability are random variables with some known probability distribution. We proposed a method based on data envelopment analysis to decide optimal shipment plan for ESTP. The hypothetical illustration is considered to check the applicability of the proposed approach.