Iswar Mani Adhikari

Prithvi Narayan Campus · Department of Mathematics

Mathematics and architecture have strong logical interconnections. Ratios are good examples of their interconnectivity. Without mathematics, it is hard to believe the existence of science and arts. It is not an exaggeration to say that mathematics is everywhere. Nature is beautiful due to the proper ratios of various components in them and in relat...

The selection of dominant routes for transit-based evacuation planning problems mainly depends upon the structure and nature of the available network. To achieve efficient evacuation planning, the problem is not only on the selection of a route and a shelter for each route on the available network topology but also on the route-to-vehicle assignmen...

It is conceived that mathematics deals with the backbreaking concept, controlled and coordinated by minds, whereas poetry deals with the interesting aspects, controlled and coordinated by hearts, and are rarely correlated. However, it is not so, in general. Mathematics works to discover where poetry tries to create, and they have bilateral connecti...

Flow maximization, time minimization, and cost minimization are three main aspects of mathematical optimization problems. The evacuation planning problems are about flow maximization and/or time minimization problems in different dynamic evacuation networks. The quickest transshipment problem in such a network is to send exactly the right amount of...

Prior to entering the workforce, engineering students are expected to be highly skilled and contribute to decision-making with confidence in their abilities. Despite this, most students are lacking in these areas. Engineering students typically have a hard time finding work because they lack the necessary skills and are unable to take decisions wit...

The quickest transshipment of the evacuees in an integrated evacuation network topology depends upon the evacuee arrival pattern in the collection network and their better assignment in the assignment network with appropriate traffic route guidance, destination optimization, and an optimal route. In this work, the quickest transshipment aspect in a...

Evacuation planning problem deals with sending the maximum number of evacuees from the danger zone to the safe zone in minimum time as eciently as possible. The dynamic network flow models for various evacuation network topology have been found suitable for the solution of such a problem. Bus based evacuation planning problem (BEPP), as an importan...

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...

Traffic route guidance, destination optimization, and optimal route choice are some of the approaches to accelerate the evacuation planning process. Their effectiveness depends upon the evacuee arrival patterns at the pickup locations and their appropriate assignment to transit-vehicles in the network. Here, the integrated evacuation network topolo...

In the context of growing number of natural or man-made disasters, operations research methodologies are imperative for optimal and equitable use of resources available for saving life and relief supports. On the PPRR risk management model, preparedness or planning is most important in unavoidable disasters, as most of the damages are due to lack o...

Increasing number of complex traffic networks and disasters today has brought difficulty in managing the rush hours traffic as well as the large events in urban areas. The optimal use of the vehicles and their assignments to the appropriate shelters from the disastrous zones are highly complicated in emergency situations. The maximum efficiency and...

Poster presented on AMNS_16