American Journal of Applied Mathematics

Volume 8, Issue 4, August 2020

  • Analytical Approximation of Advertising Impact on Sale of Products Using Differential Equation Model

    Brew Lewis, Boahene Boahemaa Martha, Brew Ebella Candy

    Issue: Volume 8, Issue 4, August 2020
    Pages: 171-175
    Received: 5 May 2020
    Accepted: 5 June 2020
    Published: 17 June 2020
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    Abstract: Advertisement involves significant amount of money and remain as one of the major issues bothering companies and other investment sectors. Advertising is a marketing strategy directed to the consumers through any media in order to present and promote product, services and any other cause. Sale of products occurs with or without advertisement and ma... Show More
  • Some Metric Properties and a Constructive Task of a Semi-Regular 2n-Sides Polygon

    Nenad Stojanovic

    Issue: Volume 8, Issue 4, August 2020
    Pages: 176-181
    Received: 13 May 2020
    Accepted: 8 June 2020
    Published: 17 June 2020
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    Abstract: A simple polygon that either has equal all sides or all interior angles is called a semi-regular polygon. In terms of this definition, we can distinguish between two types of semi-regular polygons: equilateral polygons (that have equal all sides and different interior angles) and equiangular polygons (that have equal interior angles and different s... Show More
  • Profit Optimization of an Apparel Industry in Bangladesh by Linear Programming Model

    F. M. Shakirullah, Main Uddin Ahammad, Mohammed Forhad Uddin

    Issue: Volume 8, Issue 4, August 2020
    Pages: 182-189
    Received: 11 March 2020
    Accepted: 27 March 2020
    Published: 17 July 2020
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    Abstract: Efficient use of resources in production stages is very much important for every industry. For sustainable development of industry, efficacious management decision making techniques may be employed to analyze and utilize resources. Linear programming, as a quantitative decision-making tool, can be engaged by the managements for enhancing resource u... Show More
  • Radiation and Heat Source Effects on MHD Free Convection Flow over an Inclined Porous Plate in the Presence of Viscous Dissipation

    Ekakitie Omamoke, Emeka Amos, Kubugha Wilcox Bunonyo

    Issue: Volume 8, Issue 4, August 2020
    Pages: 190-206
    Received: 18 June 2020
    Accepted: 3 July 2020
    Published: 17 July 2020
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    Abstract: This study analyzes radiation, viscous dissipation and heat source effects on magneto-hydrodynamic free convection flow, of a viscous incompressible fluid over an inclined porous plate. Applying the perturbation technique, the solution of a set of ordinary differential equations are gotten as a result of reducing the non-linear partial differential... Show More
  • Minimum Clearance Time on the Prioritized Integrated Evacuation Network

    Iswar Mani Adhikari, Tanka Nath Dhamala

    Issue: Volume 8, Issue 4, August 2020
    Pages: 207-215
    Received: 8 April 2020
    Accepted: 20 July 2020
    Published: 28 July 2020
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    Abstract: The evacuation planning problem can be viewed as different variants of dynamic flow maximization and time minimization problems. An optimal solution to the latter problem sends a given amount of flow from disaster zones to safe zones in minimum time. We solve this problem on an embedded integrated network of a prioritized primary and a bus-routed s... Show More
  • From the Continuity Problem of Set Potential to Georg Cantor Conjecture

    Zhu Rongrong

    Issue: Volume 8, Issue 4, August 2020
    Pages: 216-222
    Received: 8 May 2020
    Accepted: 13 July 2020
    Published: 28 July 2020
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    Abstract: Background in 1878, Cantor puted forward his famous conjecture. Cantor's famous conjecture is whether there is continuity between the potential of the set of natural numbers and the potential of the set of real numbers. In 1900, Hilbert puted forward the first question of 23 famous mathematical problems at the International Congress of mathematicia... Show More
  • Evacuation Contraflow Problems with Not Necessarily Equal Transit Time on Anti-parallel Arcs

    Phanindra Prasad Bhandari, Shree Ram Khadka

    Issue: Volume 8, Issue 4, August 2020
    Pages: 230-235
    Received: 27 July 2020
    Accepted: 10 August 2020
    Published: 17 August 2020
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    Abstract: An evacuation planning problem provides a plan for existing road topology that sends maximum number of evacuees from risk zone to the safe destination in minimum time period during disasters. The problems with different road network attributes have been studied, and solutions have been proposed in literature. Evacuation planning problems with netwo... Show More