Vehicle Routing Problem (VRP) is a real life constraint satisfaction problem to find minimal travel distances of vehicles to serve customers. Capacitated VRP (CVRP) is the simplest form of VRP considering vehicle capacity constraint. Constructive and clustering are the two popular approaches to solve CVRP. A constructive approach creates routes and attempts to minimize the cost at the same time. Clarke and Wright's Savings algorithm is a popular constructive method based on savings heuristic. On the other hand, a clustering based method first assigns nodes into vehicle wise cluster and then generates route for each vehicle. Sweep algorithm and its variants and Fisher and Jaikumar algorithm are popular among clustering methods. Route generation is a traveling salesman problem (TSP) and any TSP optimization method is useful for this purpose.
Parsing plays a very prominent role in computational linguistics. Parsing a Bangla sentence is a primary need in Bangla language processing. This chapter describes the Context Free Grammar (CFG) for parsing Bangla language, and hence, a Bangla parser is proposed based on the Bangla grammar. This approach is very simple to apply in Bangla sentences, and the method is well accepted for parsing grammar. This chapter introduces a parser for Bangla language, which is, by nature, a predictive parser, and the parse table is constructed for recognizing Bangla grammar. Parse table is an important tool to recognize syntactical mistakes of Bangla sentences when there is no entry for a terminal in the parse table. If a natural language can be successfully parsed then grammar checking of this language becomes possible. The parsing scheme in this chapter works based on a top-down parsing method. CFG suffers from a major problem called left recursion. The technique of left factoring is applied to avoid the problem.
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