A Lagrangean Relaxation Heuristic for Vehicular Routing

Article Abstract:

An innovative heuristic algorithm for a vehicle routing problem (VRP) employing La Grangean relation to change VRP into a form of traveling salesman problem is analyzed. VRP is defined as creating a lowest-cost rule structure for fixed capacity delivery trucks. Route considerations include single vehicle service for demand sites, overall route demand, equal or less than single vehicle capacity, and route ends at main depots. Arc exchange methods for analyzing the traveling salesman problem are developed. Illustrations of comparative route demands are highlighted as are tables of VRP heuristic comparisons.

Evaluation, Equipment and supplies, Scheduling (Management), Transportation

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Stochastic Processes and their Network Representations Associated with a Production Line Queuing Model

Article Abstract:

As items process through production, various sorts of random points causing stochastic point procedures become linked to them. Definition is given for the holding time procedure of certain items at stations. This represents a basic sort of vector renewal method. An activity network is developed to analyze the steady-state aspects of the procedure. Links of random elements are uncomplicated through the application of equipment networks. Busy period blocking period, and idle period points are analyzed. Iilustrations of activity networks, stations and sectors are featured.

Models, Production management, Network analysis (Planning), Queuing theory

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