Information Resources on Mathematics
http://dr.lib.sjp.ac.lk/handle/123456789/3810
2024-03-28T19:18:37ZInteger Quadratic Programming (IQP) Model for Cut Order Plan
http://dr.lib.sjp.ac.lk/handle/123456789/5230
Integer Quadratic Programming (IQP) Model for Cut Order Plan
De Silva, P.H.H.P.N.; Lanel, G.H.J.; Perera, M.T.M.
In the apparel industry Cut Order Planning (COP) considered as the most important procedure in the production process. Cutting large number of pieces with different shapes and sizes should be well planned to
increase the utilization offabric while reducing the wastage. Therefore cut planners pay great deal of attention to the number of plies, size ratios, length of the fabric, the cost of labour and they highly concerned about fabric wastage. This procedure is carried out manually in most o f the factories. Due to that, high cost o f labour, time
and the fabric wastage have become more crucial problems in this industry. The existing manual procedure for COP was examined in this study and to overcome those issues an integer quadratic programming model was introduced for two and three dockets. As a result of this new model, user will receive number of plies that can be
laid and size wise cutting templates that requires for the cutting process in order to minimize the cut panels wastage. Eventually this causes to increase efficiency and effectiveness o f the cutting process more significantly
2017-04-01T00:00:00ZA Cryptographic Method to Send a Secret Route or Map to a Receiver Using Concepts in Graph Theory and Number Theory
http://dr.lib.sjp.ac.lk/handle/123456789/4829
A Cryptographic Method to Send a Secret Route or Map to a Receiver Using Concepts in Graph Theory and Number Theory
Wickramasooriya, S.A.S.S.; Weerasekara, T.M.; Lanel, G.H.J.; De Silva, T.P.; Ganegoda, N.C.
Even though new solutions for problematic situations arising from security norms are developing day by day, possibly there are some issues remaining on our hand yet to be tackled. Among those one of the major problem for almost every country might experience is routing and mapping secrecy. In detail, when sending someone’s route of some places or sending a map of protectorate places, its secrecy is the most important factor to be considered. In this study a system is developed which could be used to send a route of a particular person or a map of some specific secret place in a secret manner. Concepts in graph theory and number theory together with some cryptographic algorithms are used to develop this system. In brief, the route or map is transformed into a graph which might be directed or non-directed. Then it simplified in to a numerical value which could be encrypted by applying particular encrypting algorithm. Thereafter, encrypted numerical code is sent to the receiver. Once receiver receives that unreadable code then he/she applies decrypting algorithm on that to obtain the original numerical value. Finally, the graph can be derived from that numerical value and it could be regarded as the map or route that has been sent. However different methods are followed to send the map or route due to the directivity of the graph. Although there are some restrictions and assumptions which have been made during the process, there may be possibilities to further improve this system.
2015-12-01T00:00:00ZAn Improved Strategy to Reduce the Passenger Traffic at Coastal and Suburban Area Division of Sri Lanka Fort Railway Station Ticketing Counters
http://dr.lib.sjp.ac.lk/handle/123456789/4828
An Improved Strategy to Reduce the Passenger Traffic at Coastal and Suburban Area Division of Sri Lanka Fort Railway Station Ticketing Counters
Ferdinandes, M.G.R.U.K.; Pallage, H.K.; Lanel, G.H.J.; Angulgamuwa, A.N.K.
Sri Lanka Railway Department (SLRD): which is the major transport organization in Sri Lanka, provides transportation for about 0.29 million passengers daily. Fort railway station is the main railway station in Sri Lanka which caters 0.2 million commuters daily. It comprises with 10 platforms and two ticketing divisions. Since the Coastal and Suburban area ticketing division is more crowded compared to the other division, the objective of the study was to introduce an improved strategy to reduce the passenger traffic at Coastal and Suburban area division ticketing counters. First, the reasons for the conjunctions were identified. Then the passenger flow was analyzed by (railway) line-wise and ticketing counter-wise. To arrive at a solution the counters were rearranged with the aid of graph theory. Then a new system was introduced and the efficiency of the system was proved using queuing theory
2015-07-01T00:00:00ZPossibilities of Sharing Multi Species in a Cage Based on Their Food Preference Using Graph Coloring Technique
http://dr.lib.sjp.ac.lk/handle/123456789/4827
Possibilities of Sharing Multi Species in a Cage Based on Their Food Preference Using Graph Coloring Technique
Thondilege, G.K.H.; Lanel, G.H.J.; De Almeida, P.D.A.G.D.
Clustering has become a special tool in the case of identifying homogeneous groups among large population of dynamic species. Graph coloring technique plays the main role in clustering procedure in many real world problems', since dynamic objects can represent by a graph using a set of vertices. V and a set of edges, E and the graph formed can be clustered in to several number of homogeneous subgraphs according to any considered variable using the graph coloring technique. Basically during this research a vertex coloring
2015-03-01T00:00:00Z